TSTP Solution File: SWV605-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV605-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 16:27:04 EDT 2022
% Result : Timeout 286.35s 286.85s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV605-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 02:41:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.00/1.43 *** allocated 10000 integers for termspace/termends
% 1.00/1.43 *** allocated 10000 integers for clauses
% 1.00/1.43 *** allocated 10000 integers for justifications
% 1.00/1.43 *** allocated 15000 integers for termspace/termends
% 1.00/1.43 *** allocated 22500 integers for termspace/termends
% 1.00/1.43 *** allocated 33750 integers for termspace/termends
% 1.00/1.43 Bliksem 1.12
% 1.00/1.43
% 1.00/1.43
% 1.00/1.43 Automatic Strategy Selection
% 1.00/1.43
% 1.00/1.43 Clauses:
% 1.00/1.43 [
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.43 , U, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.43 ],
% 1.00/1.43 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.00/1.43 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.00/1.43 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.43 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.43 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.43 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.43 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.43 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.00/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.43 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.43 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.00/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.43 , T, X ) ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.43 , T, X ) ) ), =( Z, T ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.43 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.43 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.43 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.43 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.43 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.00/1.43 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.43 ],
% 1.00/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.00/1.43 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.00/1.43 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.00/1.43 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.00/1.43 [ =( 'c_Transcendental_Otan'(
% 1.00/1.43 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ) ), X ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.43 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.43 , 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.43 ), X ), Y ) ],
% 1.00/1.43 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.00/1.43 ), Y ) ],
% 1.00/1.43 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.43 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.43 , X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.00/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.43 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.43 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.43 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.43 , X ), T, X ), W, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.43 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.43 , X ), W, X ), X ) ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.00/1.43 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.43 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.00/1.43 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 1.00/1.43 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.43 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.43 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.00/1.43 , 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.00/1.43 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.43 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.43 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.00/1.43 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.43 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.00/1.43 ), Y ) ],
% 1.00/1.43 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.43 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ), Y ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ), Y ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ), Y ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.43 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.43 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.43 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.43 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.43 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.00/1.43 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.43 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.00/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.43 , Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.43 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.43 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.00/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.43 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.00/1.43 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.00/1.43 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.43 Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.43 , X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Z, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.00/1.43 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.00/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.00/1.43 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.00/1.43 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.43 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.00/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.43 , X ) ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.43 , X ) ) ), =( Y, Z ) ],
% 1.00/1.43 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.43 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.43 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.43 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.43 ), =( Z, Y ) ],
% 1.00/1.43 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.00/1.43 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.43 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.00/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.43 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.43 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.43 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.00/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.43 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.43 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.00/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.00/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.43 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.43 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.43 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.43 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.43 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.43 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.00/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.00/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.43 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.43 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.00/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.43 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.43 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , T, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , T, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.43 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.43 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , Z, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.43 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , Z, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.43 , Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.43 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.43 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.43 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.43 X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.43 Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.00/1.43 X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.43 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.43 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.00/1.44 , X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'(
% 1.00/1.44 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ) )
% 1.00/1.44 , X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.00/1.44 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.00/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.44 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.44 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.44 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.44 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.44 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.00/1.44 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.00/1.44 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.44 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.44 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.44 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.44 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.44 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.00/1.44 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.00/1.44 X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.00/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.00/1.44 X ) ) ), =( Z, T ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.00/1.44 X ) ) ), =( Z, T ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.44 X ) ) ), =( Y, T ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.00/1.44 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 Y, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.00/1.44 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.44 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.00/1.44 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Z, T, 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 Y, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.00/1.44 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.44 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.44 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 Y, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.44 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.44 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Ocos'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.00/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.00/1.44 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ), ~( =( 'c_Transcendental_Osin'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.44 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.44 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.44 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.00/1.44 , X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ), =( Y
% 1.00/1.44 , Z ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), =(
% 1.00/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_Transcendental_Ocos'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.44 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), T, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Osin'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.00/1.44 , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Oarctan'( 'c_Transcendental_Otan'( X ) ), X ),
% 1.00/1.44 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 X, 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.00/1.44 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'(
% 1.00/1.44 'c_Transcendental_Otan'( X ) ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_Transcendental_Otan'( X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Y, 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.00/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.00/1.44 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.00/1.44 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.00/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.00/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.00/1.44 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.00/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.00/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.44 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.00/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.00/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.00/1.44 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.44 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.00/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.44 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.00/1.44 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.44 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.44 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.00/1.44 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.00/1.44 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.44 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.44 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.00/1.44 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.44 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.44 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.44 , X ), W, X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.00/1.44 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.44 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.44 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.44 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.00/1.44 W, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.44 , X ), T, X ), W, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.00/1.44 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.00/1.44 W, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.44 , X ), W, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.44 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.44 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.44 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.00/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.00/1.44 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.00/1.44 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.00/1.44 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.00/1.44 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.44 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.44 ) ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit1'( Y ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), 'c_Int_Oiszero'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.00/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.44 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.44 ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y
% 1.00/1.44 ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.44 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 Y ), X ), X ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.44 , X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.44 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.44 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.44 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.44 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.00/1.44 ), Y, X ) ), =( Z, T ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.00/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.44 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.00/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.44 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal'
% 1.00/1.44 ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.44 , 'c_Transcendental_Otan'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.00/1.44 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.00/1.44 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.00/1.44 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'(
% 1.00/1.44 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_RealDef_Oreal'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.44 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat'
% 1.00/1.44 ), 'c_RealDef_Oreal'( Y, 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ) ) ) ) ) ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ =( 'c_Complex_Ocis'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.44 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ) ), 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.00/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.00/1.44 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.44 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.00/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.00/1.44 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.00/1.44 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.00/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.44 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.44 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.00/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.44 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.00/1.44 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.00/1.44 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.00/1.44 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.00/1.44 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.00/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.00/1.44 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.44 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.44 X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Z, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Z, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.44 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.44 X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.44 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.44 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.44 , T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.44 , T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , Y, X ), X ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.44 ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.00/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.00/1.44 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.44 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), X, 'tc_nat' ), 'tc_nat' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_Transcendental_Osin'( X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_Transcendental_Ocos'( X ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_Transcendental_Otan'( X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.44 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.00/1.44 X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.44 [ =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_Complex_Ocis'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ =( 'c_Power_Opower__class_Opower'( 'c_Complex_Ocis'( X ), Y,
% 1.00/1.44 'tc_Complex_Ocomplex' ), 'c_Complex_Ocis'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_RealDef_Oreal'( Y, 'tc_nat' ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.00/1.44 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Y, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.00/1.44 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.00/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.44 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.00/1.44 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.45 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.45 ), Y ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.45 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.45 ), Y ) ],
% 1.00/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.00/1.45 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.00/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.45 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.45 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.00/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.00/1.45 ) ],
% 1.00/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.00/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.00/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.45 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.00/1.45 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.45 X ), T, X ) ) ],
% 1.00/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.45 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.45 T, X ), X ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.45 X ), T, X ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.45 T, X ), X ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.45 X ), Z, X ) ) ],
% 1.00/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.45 T, X ), X ) ) ],
% 1.00/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.45 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.00/1.45 ) ],
% 1.00/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.00/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.45 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.45 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.45 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.45 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.00/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.45 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.00/1.45 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.45 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.45 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.45 Z, T, X ), X ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.45 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 1.00/1.45 ) ) ), =( X, Y ) ],
% 1.00/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.00/1.45 , X ), Y ) ],
% 1.00/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.45 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.00/1.45 , X ), Y ) ],
% 1.00/1.45 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.45 ],
% 1.00/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.45 ],
% 1.00/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.45 ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.45 ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.45 ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.45 ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.00/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.00/1.45 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.45 , Y, X ) ) ],
% 1.00/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.45 , Y, X ) ) ],
% 1.00/1.45 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.45 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.45 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.00/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.45 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.45 Y, T, X ), Z, X ) ) ],
% 1.00/1.45 [ ~( =( 'c_Power_Opower__class_Opower'( 'c_Complex_Ocis'(
% 1.00/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.00/1.45 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ),
% 1.00/1.45 'tc_RealDef_Oreal' ) ), 'v_n', 'tc_Complex_Ocomplex' ),
% 1.00/1.45 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.00/1.45 ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.00/1.45 ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.00/1.45 ],
% 1.00/1.45 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.00/1.45 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.00/1.45 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.00/1.45 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.00/1.45 ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.00/1.45 ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.00/1.45 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.00/1.45 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.00/1.45 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.00/1.45 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.00/1.45 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.00/1.45 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.00/1.45 ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.00/1.45 ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.00/1.45 ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.00/1.45 ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.00/1.45 ],
% 1.00/1.45 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.00/1.45 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.00/1.45 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.00/1.45 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.00/1.45 ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.00/1.45 ],
% 1.00/1.45 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.00/1.45 ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ,
% 1.00/1.45 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.45 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.45 ] .
% 1.00/1.45
% 1.00/1.45
% 1.00/1.45 percentage equality = 0.195208, percentage horn = 0.857416
% 1.00/1.45 This is a problem with some equality
% 1.00/1.45
% 1.00/1.45
% 1.00/1.45
% 1.00/1.45 Options Used:
% 1.00/1.45
% 1.00/1.45 useres = 1
% 1.00/1.45 useparamod = 1
% 1.00/1.45 useeqrefl = 1
% 1.00/1.45 useeqfact = 1
% 1.00/1.45 usefactor = 1
% 1.00/1.45 usesimpsplitting = 0
% 1.00/1.45 usesimpdemod = 5
% 1.00/1.45 usesimpres = 3
% 1.00/1.45
% 1.00/1.45 resimpinuse = 1000
% 1.00/1.45 resimpclauses = 20000
% 1.00/1.45 substype = eqrewr
% 1.00/1.45 backwardsubs = 1
% 1.00/1.45 selectoldest = 5
% 1.00/1.45
% 1.00/1.45 litorderings [0] = split
% 1.00/1.45 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.45
% 1.00/1.45 termordering = kbo
% 1.00/1.45
% 1.00/1.45 litapriori = 0
% 1.00/1.45 termapriori = 1
% 1.00/1.45 litaposteriori = 0
% 1.00/1.45 termaposteriori = 0
% 1.00/1.45 demodaposteriori = 0
% 1.00/1.45 ordereqreflfact = 0
% 1.00/1.45
% 1.00/1.45 litselect = negord
% 1.00/1.45
% 1.00/1.45 maxweight = 15
% 1.00/1.45 maxdepth = 30000
% 1.00/1.45 maxlength = 115
% 1.00/1.45 maxnrvars = 195
% 1.00/1.45 excuselevel = 1
% 1.00/1.45 increasemaxweight = 1
% 1.00/1.45
% 1.00/1.45 maxselected = 10000000
% 1.00/1.45 maxnrclauses = 10000000
% 1.00/1.45
% 1.00/1.45 showgenerated = 0
% 1.00/1.45 showkept = 0
% 1.00/1.45 showselected = 0
% 1.00/1.45 showdeleted = 0
% 1.00/1.45 showresimp = 1
% 1.00/1.45 showstatus = 2000
% 1.00/1.45
% 1.00/1.45 prologoutput = 1
% 1.00/1.45 nrgoals = 5000000
% 1.00/1.45 totalproof = 1
% 1.00/1.45
% 1.00/1.45 Symbols occurring in the translation:
% 1.00/1.45
% 1.00/1.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.45 . [1, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.00/1.45 ! [4, 1] (w:0, o:55, a:1, s:1, b:0),
% 1.00/1.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.45 'class_OrderedGroup_Ogroup__add' [40, 1] (w:1, o:60, a:1, s:1, b:0),
% 1.00/1.45
% 1.00/1.45 'c_HOL_Ominus__class_Ominus' [43, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.00/1.45 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Oidom' [45, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.00/1.45 'class_Int_Onumber__ring' [46, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.56/1.94 'class_Ring__and__Field_Oordered__ring__strict' [49, 1] (w:1, o:68
% 1.56/1.94 , a:1, s:1, b:0),
% 1.56/1.94 'c_HOL_Otimes__class_Otimes' [50, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.56/1.94 'c_HOL_Oplus__class_Oplus' [51, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.56/1.94 'c_lessequals' [52, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.56/1.94 'class_OrderedGroup_Oab__group__add' [53, 1] (w:1, o:69, a:1, s:1, b:
% 1.56/1.94 0),
% 1.56/1.94 'class_Ring__and__Field_Oordered__field' [56, 1] (w:1, o:70, a:1, s:1
% 1.56/1.94 , b:0),
% 1.56/1.94 'class_Ring__and__Field_Odivision__by__zero' [57, 1] (w:1, o:74, a:1
% 1.56/1.94 , s:1, b:0),
% 1.56/1.94 'c_HOL_Oinverse__class_Oinverse' [58, 2] (w:1, o:155, a:1, s:1, b:0)
% 1.56/1.94 ,
% 1.56/1.94 'tc_RealDef_Oreal' [59, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.56/1.94 'c_NthRoot_Osqrt' [60, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.56/1.94 'class_Ring__and__Field_Oordered__idom' [61, 1] (w:1, o:76, a:1, s:1
% 1.56/1.94 , b:0),
% 1.56/1.94 'c_HOL_Oord__class_Oless' [62, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.56/1.94 'tc_nat' [64, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.56/1.94 'c_Int_Onumber__class_Onumber__of' [65, 2] (w:1, o:157, a:1, s:1, b:0
% 1.56/1.94 ),
% 1.56/1.94 'c_Power_Opower__class_Opower' [66, 3] (w:1, o:166, a:1, s:1, b:0),
% 1.56/1.94 'c_HOL_Oone__class_Oone' [67, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.56/1.94 'c_Transcendental_Otan' [68, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.56/1.94 'c_Transcendental_Osin' [69, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.56/1.94 'c_Transcendental_Ocos' [70, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.56/1.94 'c_HOL_Oinverse__class_Odivide' [71, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.56/1.94
% 1.56/1.94 'class_OrderedGroup_Opordered__comm__monoid__add' [72, 1] (w:1, o:84
% 1.56/1.94 , a:1, s:1, b:0),
% 1.56/1.94 'c_RealDef_Oreal' [74, 2] (w:1, o:158, a:1, s:1, b:0),
% 1.56/1.94 'c_HOL_Ouminus__class_Ouminus' [75, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.56/1.94 'class_RealVector_Oreal__normed__algebra' [76, 1] (w:1, o:85, a:1, s:
% 1.56/1.94 1, b:0),
% 1.56/1.94 'class_Ring__and__Field_Oordered__semiring__strict' [78, 1] (w:1, o:
% 1.56/1.94 86, a:1, s:1, b:0),
% 1.56/1.94 'class_Ring__and__Field_Oordered__semidom' [82, 1] (w:1, o:87, a:1
% 1.56/1.94 , s:1, b:0),
% 1.56/1.94 'c_Transcendental_Opi' [83, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.56/1.94 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [84, 1]
% 1.56/1.94 (w:1, o:88, a:1, s:1, b:0),
% 1.56/1.94 'class_OrderedGroup_Ocomm__monoid__add' [85, 1] (w:1, o:89, a:1, s:1
% 1.56/1.94 , b:0),
% 1.56/1.94 'class_Orderings_Olinorder' [86, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.56/1.94 'class_Orderings_Opreorder' [87, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.56/1.94 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1' [88, 1]
% 1.56/1.94 (w:1, o:79, a:1, s:1, b:0),
% 1.56/1.94 'class_Ring__and__Field_Ocomm__semiring__1' [89, 1] (w:1, o:72, a:1
% 1.56/1.94 , s:1, b:0),
% 1.56/1.94 'class_OrderedGroup_Oab__semigroup__add' [90, 1] (w:1, o:93, a:1, s:1
% 1.56/1.94 , b:0),
% 1.56/1.94 'class_Orderings_Oorder' [91, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.56/1.94 'class_OrderedGroup_Olordered__ab__group__add' [93, 1] (w:1, o:94, a:
% 1.56/1.94 1, s:1, b:0),
% 1.56/1.94 'class_Ring__and__Field_Odivision__ring' [94, 1] (w:1, o:95, a:1, s:1
% 1.56/1.94 , b:0),
% 1.56/1.94 'c_Transcendental_Oarctan' [95, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.56/1.94 'class_OrderedGroup_Opordered__ab__group__add' [96, 1] (w:1, o:97, a:
% 1.56/1.95 1, s:1, b:0),
% 1.56/1.95 'class_Ring__and__Field_Ofield' [97, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.56/1.95 'class_Ring__and__Field_Oring' [98, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.56/1.95 'class_Ring__and__Field_Opordered__ring' [100, 1] (w:1, o:102, a:1
% 1.56/1.95 , s:1, b:0),
% 1.56/1.95 'class_Ring__and__Field_Oordered__comm__semiring__strict' [102, 1]
% 1.56/1.95 (w:1, o:100, a:1, s:1, b:0),
% 1.56/1.95 'class_OrderedGroup_Omonoid__add' [103, 1] (w:1, o:103, a:1, s:1, b:0
% 1.56/1.95 ),
% 1.56/1.95 'class_Ring__and__Field_Ozero__neq__one' [104, 1] (w:1, o:104, a:1
% 1.56/1.95 , s:1, b:0),
% 1.56/1.95 'class_Ring__and__Field_Ono__zero__divisors' [105, 1] (w:1, o:67, a:1
% 1.56/1.95 , s:1, b:0),
% 1.56/1.95 'class_Ring__and__Field_Omult__zero' [106, 1] (w:1, o:64, a:1, s:1
% 1.56/1.95 , b:0),
% 1.56/1.95 'class_Power_Opower' [107, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.56/1.95 'class_Lattices_Oboolean__algebra' [108, 1] (w:1, o:114, a:1, s:1, b:
% 1.56/1.95 0),
% 1.56/1.95 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [109, 1]
% 1.56/1.95 (w:1, o:105, a:1, s:1, b:0),
% 1.56/1.95 'class_Ring__and__Field_Oring__no__zero__divisors' [110, 1] (w:1, o:
% 12.50/12.97 115, a:1, s:1, b:0),
% 12.50/12.97 'class_Ring__and__Field_Ocomm__semiring' [111, 1] (w:1, o:73, a:1, s:
% 12.50/12.97 1, b:0),
% 12.50/12.97 'class_Ring__and__Field_Osemiring' [115, 1] (w:1, o:118, a:1, s:1, b:
% 12.50/12.97 0),
% 12.50/12.97 'class_Ring__and__Field_Oordered__semiring' [116, 1] (w:1, o:101, a:1
% 12.50/12.97 , s:1, b:0),
% 12.50/12.97 'class_OrderedGroup_Opordered__ab__semigroup__add' [117, 1] (w:1, o:
% 12.50/12.97 106, a:1, s:1, b:0),
% 12.50/12.97 'class_Int_Onumber' [118, 1] (w:1, o:119, a:1, s:1, b:0),
% 12.50/12.97 'class_RealVector_Oreal__normed__field' [119, 1] (w:1, o:120, a:1, s:
% 12.50/12.97 1, b:0),
% 12.50/12.97 'class_Ring__and__Field_Omult__mono1' [121, 1] (w:1, o:65, a:1, s:1
% 12.50/12.97 , b:0),
% 12.50/12.97 'class_Ring__and__Field_Omult__mono' [122, 1] (w:1, o:66, a:1, s:1
% 12.50/12.97 , b:0),
% 12.50/12.97 'class_Ring__and__Field_Osemiring__1' [123, 1] (w:1, o:121, a:1, s:1
% 12.50/12.97 , b:0),
% 12.50/12.97 'c_Int_Oiszero' [124, 2] (w:1, o:159, a:1, s:1, b:0),
% 12.50/12.97 'c_Int_OBit0' [125, 1] (w:1, o:122, a:1, s:1, b:0),
% 12.50/12.97 'class_RealVector_Oreal__field' [126, 1] (w:1, o:123, a:1, s:1, b:0)
% 12.50/12.98 ,
% 12.50/12.98 'c_Int_OPls' [127, 0] (w:1, o:36, a:1, s:1, b:0),
% 12.50/12.98 'c_Int_OBit1' [128, 1] (w:1, o:124, a:1, s:1, b:0),
% 12.50/12.98 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1' [131, 1
% 12.50/12.98 ] (w:1, o:80, a:1, s:1, b:0),
% 12.50/12.98 'class_Ring__and__Field_Opordered__cancel__semiring' [132, 1] (w:1
% 12.50/12.98 , o:125, a:1, s:1, b:0),
% 12.50/12.98 'class_OrderedGroup_Oordered__ab__group__add' [133, 1] (w:1, o:83, a:
% 12.50/12.98 1, s:1, b:0),
% 12.50/12.98 'class_Ring__and__Field_Opordered__semiring' [134, 1] (w:1, o:126, a:
% 12.50/12.98 1, s:1, b:0),
% 12.50/12.98 'class_OrderedGroup_Ocancel__ab__semigroup__add' [138, 1] (w:1, o:107
% 12.50/12.98 , a:1, s:1, b:0),
% 12.50/12.98 'class_OrderedGroup_Ocancel__semigroup__add' [139, 1] (w:1, o:108, a:
% 12.50/12.98 1, s:1, b:0),
% 12.50/12.98 'class_OrderedGroup_Omonoid__mult' [140, 1] (w:1, o:109, a:1, s:1, b:
% 12.50/12.98 0),
% 12.50/12.98 'class_Ring__and__Field_Oring__1__no__zero__divisors' [141, 1] (w:1
% 12.50/12.98 , o:116, a:1, s:1, b:0),
% 12.50/12.98 'class_Ring__and__Field_Ocomm__ring__1' [146, 1] (w:1, o:71, a:1, s:1
% 12.50/12.98 , b:0),
% 12.50/12.98 'class_Int_Oring__char__0' [148, 1] (w:1, o:127, a:1, s:1, b:0),
% 12.50/12.98 hAPP [150, 2] (w:1, o:160, a:1, s:1, b:0),
% 12.50/12.98 'c_Complex_Ocis' [151, 1] (w:1, o:128, a:1, s:1, b:0),
% 12.50/12.98 'tc_Complex_Ocomplex' [152, 0] (w:1, o:50, a:1, s:1, b:0),
% 12.50/12.98 'class_Ring__and__Field_Oring__1' [153, 1] (w:1, o:117, a:1, s:1, b:0
% 12.50/12.98 ),
% 12.50/12.98 'c_FFT__Mirabelle_Oroot' [156, 1] (w:1, o:129, a:1, s:1, b:0),
% 12.50/12.98 'class_OrderedGroup_Oab__semigroup__mult' [163, 1] (w:1, o:110, a:1
% 12.50/12.98 , s:1, b:0),
% 12.50/12.98 'class_OrderedGroup_Ocomm__monoid__mult' [164, 1] (w:1, o:111, a:1
% 12.50/12.98 , s:1, b:0),
% 12.50/12.98 'class_OrderedGroup_Oab__semigroup__idem__mult' [165, 1] (w:1, o:112
% 12.50/12.98 , a:1, s:1, b:0),
% 12.50/12.98 'v_n' [166, 0] (w:1, o:53, a:1, s:1, b:0),
% 12.50/12.98 'tc_Int_Oint' [167, 0] (w:1, o:54, a:1, s:1, b:0).
% 12.50/12.98
% 12.50/12.98
% 12.50/12.98 Starting Search:
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98
% 12.50/12.98 Intermediate Status:
% 12.50/12.98 Generated: 3388
% 12.50/12.98 Kept: 2045
% 12.50/12.98 Inuse: 75
% 12.50/12.98 Deleted: 1
% 12.50/12.98 Deletedinuse: 0
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98
% 12.50/12.98 Intermediate Status:
% 12.50/12.98 Generated: 6566
% 12.50/12.98 Kept: 4051
% 12.50/12.98 Inuse: 159
% 12.50/12.98 Deleted: 4
% 12.50/12.98 Deletedinuse: 0
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98
% 12.50/12.98 Intermediate Status:
% 12.50/12.98 Generated: 9987
% 12.50/12.98 Kept: 6070
% 12.50/12.98 Inuse: 231
% 12.50/12.98 Deleted: 5
% 12.50/12.98 Deletedinuse: 0
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98
% 12.50/12.98 Intermediate Status:
% 12.50/12.98 Generated: 15175
% 12.50/12.98 Kept: 8485
% 12.50/12.98 Inuse: 289
% 12.50/12.98 Deleted: 7
% 12.50/12.98 Deletedinuse: 0
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98
% 12.50/12.98 Intermediate Status:
% 12.50/12.98 Generated: 20384
% 12.50/12.98 Kept: 10496
% 12.50/12.98 Inuse: 366
% 12.50/12.98 Deleted: 7
% 12.50/12.98 Deletedinuse: 0
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98
% 12.50/12.98 Intermediate Status:
% 12.50/12.98 Generated: 25462
% 12.50/12.98 Kept: 12518
% 12.50/12.98 Inuse: 413
% 12.50/12.98 Deleted: 7
% 12.50/12.98 Deletedinuse: 0
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98
% 12.50/12.98 Intermediate Status:
% 12.50/12.98 Generated: 30498
% 12.50/12.98 Kept: 14536
% 12.50/12.98 Inuse: 462
% 12.50/12.98 Deleted: 8
% 12.50/12.98 Deletedinuse: 0
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98 Resimplifying inuse:
% 12.50/12.98 Done
% 12.50/12.98
% 12.50/12.98
% 12.50/12.98 Intermediate Status:
% 12.50/12.98 Generated: 35830
% 12.50/12.98 Kept: 17396
% 12.50/12.98 Inuse: 507
% 53.98/54.42 Deleted: 9
% 53.98/54.42 Deletedinuse: 0
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 44955
% 53.98/54.42 Kept: 19402
% 53.98/54.42 Inuse: 546
% 53.98/54.42 Deleted: 10
% 53.98/54.42 Deletedinuse: 0
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying clauses:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 52656
% 53.98/54.42 Kept: 21420
% 53.98/54.42 Inuse: 601
% 53.98/54.42 Deleted: 675
% 53.98/54.42 Deletedinuse: 0
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 62696
% 53.98/54.42 Kept: 23575
% 53.98/54.42 Inuse: 681
% 53.98/54.42 Deleted: 676
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 71736
% 53.98/54.42 Kept: 25579
% 53.98/54.42 Inuse: 778
% 53.98/54.42 Deleted: 676
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 90243
% 53.98/54.42 Kept: 27701
% 53.98/54.42 Inuse: 786
% 53.98/54.42 Deleted: 676
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 105221
% 53.98/54.42 Kept: 31574
% 53.98/54.42 Inuse: 823
% 53.98/54.42 Deleted: 676
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 127178
% 53.98/54.42 Kept: 34985
% 53.98/54.42 Inuse: 846
% 53.98/54.42 Deleted: 676
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 141577
% 53.98/54.42 Kept: 37059
% 53.98/54.42 Inuse: 851
% 53.98/54.42 Deleted: 676
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 150877
% 53.98/54.42 Kept: 39258
% 53.98/54.42 Inuse: 886
% 53.98/54.42 Deleted: 676
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying clauses:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 159546
% 53.98/54.42 Kept: 41349
% 53.98/54.42 Inuse: 936
% 53.98/54.42 Deleted: 1744
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 170104
% 53.98/54.42 Kept: 43376
% 53.98/54.42 Inuse: 946
% 53.98/54.42 Deleted: 1744
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 180965
% 53.98/54.42 Kept: 45440
% 53.98/54.42 Inuse: 976
% 53.98/54.42 Deleted: 1744
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 189663
% 53.98/54.42 Kept: 47603
% 53.98/54.42 Inuse: 1016
% 53.98/54.42 Deleted: 1744
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 199305
% 53.98/54.42 Kept: 49745
% 53.98/54.42 Inuse: 1056
% 53.98/54.42 Deleted: 1744
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 209264
% 53.98/54.42 Kept: 51749
% 53.98/54.42 Inuse: 1061
% 53.98/54.42 Deleted: 1744
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 219915
% 53.98/54.42 Kept: 53766
% 53.98/54.42 Inuse: 1068
% 53.98/54.42 Deleted: 1744
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 231238
% 53.98/54.42 Kept: 56426
% 53.98/54.42 Inuse: 1071
% 53.98/54.42 Deleted: 1744
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 250542
% 53.98/54.42 Kept: 58438
% 53.98/54.42 Inuse: 1083
% 53.98/54.42 Deleted: 1746
% 53.98/54.42 Deletedinuse: 1
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 270487
% 53.98/54.42 Kept: 62119
% 53.98/54.42 Inuse: 1085
% 53.98/54.42 Deleted: 1752
% 53.98/54.42 Deletedinuse: 6
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying clauses:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 279552
% 53.98/54.42 Kept: 64246
% 53.98/54.42 Inuse: 1118
% 53.98/54.42 Deleted: 2218
% 53.98/54.42 Deletedinuse: 6
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 287914
% 53.98/54.42 Kept: 66282
% 53.98/54.42 Inuse: 1150
% 53.98/54.42 Deleted: 2218
% 53.98/54.42 Deletedinuse: 6
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 297563
% 53.98/54.42 Kept: 68417
% 53.98/54.42 Inuse: 1183
% 53.98/54.42 Deleted: 2218
% 53.98/54.42 Deletedinuse: 6
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 318824
% 53.98/54.42 Kept: 74091
% 53.98/54.42 Inuse: 1213
% 53.98/54.42 Deleted: 2218
% 53.98/54.42 Deletedinuse: 6
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 338657
% 53.98/54.42 Kept: 76517
% 53.98/54.42 Inuse: 1218
% 53.98/54.42 Deleted: 2218
% 53.98/54.42 Deletedinuse: 6
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42 Resimplifying inuse:
% 53.98/54.42 Done
% 53.98/54.42
% 53.98/54.42
% 53.98/54.42 Intermediate Status:
% 53.98/54.42 Generated: 348849
% 53.98/54.42 Kept: 78626
% 158.92/159.38 Inuse: 1233
% 158.92/159.38 Deleted: 2218
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 357667
% 158.92/159.38 Kept: 80651
% 158.92/159.38 Inuse: 1258
% 158.92/159.38 Deleted: 2218
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying clauses:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 373814
% 158.92/159.38 Kept: 83911
% 158.92/159.38 Inuse: 1273
% 158.92/159.38 Deleted: 2434
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 388764
% 158.92/159.38 Kept: 86657
% 158.92/159.38 Inuse: 1293
% 158.92/159.38 Deleted: 2434
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 414515
% 158.92/159.38 Kept: 90236
% 158.92/159.38 Inuse: 1308
% 158.92/159.38 Deleted: 2434
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 422790
% 158.92/159.38 Kept: 92336
% 158.92/159.38 Inuse: 1328
% 158.92/159.38 Deleted: 2434
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 431152
% 158.92/159.38 Kept: 94478
% 158.92/159.38 Inuse: 1348
% 158.92/159.38 Deleted: 2434
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 441812
% 158.92/159.38 Kept: 96496
% 158.92/159.38 Inuse: 1362
% 158.92/159.38 Deleted: 2434
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 478956
% 158.92/159.38 Kept: 100982
% 158.92/159.38 Inuse: 1388
% 158.92/159.38 Deleted: 2434
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying clauses:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 486603
% 158.92/159.38 Kept: 103067
% 158.92/159.38 Inuse: 1408
% 158.92/159.38 Deleted: 3011
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 496151
% 158.92/159.38 Kept: 105376
% 158.92/159.38 Inuse: 1433
% 158.92/159.38 Deleted: 3011
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 504444
% 158.92/159.38 Kept: 107660
% 158.92/159.38 Inuse: 1458
% 158.92/159.38 Deleted: 3011
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 517482
% 158.92/159.38 Kept: 110277
% 158.92/159.38 Inuse: 1473
% 158.92/159.38 Deleted: 3011
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 529222
% 158.92/159.38 Kept: 112732
% 158.92/159.38 Inuse: 1483
% 158.92/159.38 Deleted: 3011
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 548765
% 158.92/159.38 Kept: 116439
% 158.92/159.38 Inuse: 1493
% 158.92/159.38 Deleted: 3011
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 559646
% 158.92/159.38 Kept: 118447
% 158.92/159.38 Inuse: 1501
% 158.92/159.38 Deleted: 3011
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 594263
% 158.92/159.38 Kept: 122394
% 158.92/159.38 Inuse: 1513
% 158.92/159.38 Deleted: 3011
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying clauses:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 612447
% 158.92/159.38 Kept: 125524
% 158.92/159.38 Inuse: 1523
% 158.92/159.38 Deleted: 3454
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 629865
% 158.92/159.38 Kept: 128743
% 158.92/159.38 Inuse: 1533
% 158.92/159.38 Deleted: 3454
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 640891
% 158.92/159.38 Kept: 130799
% 158.92/159.38 Inuse: 1553
% 158.92/159.38 Deleted: 3454
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 664562
% 158.92/159.38 Kept: 134240
% 158.92/159.38 Inuse: 1573
% 158.92/159.38 Deleted: 3454
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 671688
% 158.92/159.38 Kept: 137185
% 158.92/159.38 Inuse: 1576
% 158.92/159.38 Deleted: 3454
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 729292
% 158.92/159.38 Kept: 139650
% 158.92/159.38 Inuse: 1578
% 158.92/159.38 Deleted: 3454
% 158.92/159.38 Deletedinuse: 6
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 748453
% 158.92/159.38 Kept: 142013
% 158.92/159.38 Inuse: 1598
% 158.92/159.38 Deleted: 3456
% 158.92/159.38 Deletedinuse: 8
% 158.92/159.38
% 158.92/159.38 Resimplifying inuse:
% 158.92/159.38 Done
% 158.92/159.38
% 158.92/159.38
% 158.92/159.38 Intermediate Status:
% 158.92/159.38 Generated: 764084
% 158.92/159.38 Kept: 144600
% 158.92/159.38 Inuse: 1603
% 158.92/159.38 Deleted: 3456
% 286.35/286.85 Deletedinuse: 8
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying clauses:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 782648
% 286.35/286.85 Kept: 151765
% 286.35/286.85 Inuse: 1608
% 286.35/286.85 Deleted: 3900
% 286.35/286.85 Deletedinuse: 8
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 798415
% 286.35/286.85 Kept: 154311
% 286.35/286.85 Inuse: 1613
% 286.35/286.85 Deleted: 3900
% 286.35/286.85 Deletedinuse: 8
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 812302
% 286.35/286.85 Kept: 156316
% 286.35/286.85 Inuse: 1637
% 286.35/286.85 Deleted: 3900
% 286.35/286.85 Deletedinuse: 8
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 825497
% 286.35/286.85 Kept: 158366
% 286.35/286.85 Inuse: 1658
% 286.35/286.85 Deleted: 3900
% 286.35/286.85 Deletedinuse: 8
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 838945
% 286.35/286.85 Kept: 160517
% 286.35/286.85 Inuse: 1678
% 286.35/286.85 Deleted: 3900
% 286.35/286.85 Deletedinuse: 8
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 852380
% 286.35/286.85 Kept: 162627
% 286.35/286.85 Inuse: 1703
% 286.35/286.85 Deleted: 3900
% 286.35/286.85 Deletedinuse: 8
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 871698
% 286.35/286.85 Kept: 167108
% 286.35/286.85 Inuse: 1722
% 286.35/286.85 Deleted: 3904
% 286.35/286.85 Deletedinuse: 11
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying clauses:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 888392
% 286.35/286.85 Kept: 169273
% 286.35/286.85 Inuse: 1737
% 286.35/286.85 Deleted: 4559
% 286.35/286.85 Deletedinuse: 11
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 905259
% 286.35/286.85 Kept: 171723
% 286.35/286.85 Inuse: 1757
% 286.35/286.85 Deleted: 4559
% 286.35/286.85 Deletedinuse: 11
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 918595
% 286.35/286.85 Kept: 174100
% 286.35/286.85 Inuse: 1777
% 286.35/286.85 Deleted: 4559
% 286.35/286.85 Deletedinuse: 11
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 964690
% 286.35/286.85 Kept: 179420
% 286.35/286.85 Inuse: 1802
% 286.35/286.85 Deleted: 4559
% 286.35/286.85 Deletedinuse: 11
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 978571
% 286.35/286.85 Kept: 181470
% 286.35/286.85 Inuse: 1812
% 286.35/286.85 Deleted: 4559
% 286.35/286.85 Deletedinuse: 11
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 992916
% 286.35/286.85 Kept: 183471
% 286.35/286.85 Inuse: 1824
% 286.35/286.85 Deleted: 4563
% 286.35/286.85 Deletedinuse: 13
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1027742
% 286.35/286.85 Kept: 186929
% 286.35/286.85 Inuse: 1825
% 286.35/286.85 Deleted: 4563
% 286.35/286.85 Deletedinuse: 13
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1036030
% 286.35/286.85 Kept: 190120
% 286.35/286.85 Inuse: 1828
% 286.35/286.85 Deleted: 4563
% 286.35/286.85 Deletedinuse: 13
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying clauses:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1052662
% 286.35/286.85 Kept: 192571
% 286.35/286.85 Inuse: 1855
% 286.35/286.85 Deleted: 5124
% 286.35/286.85 Deletedinuse: 14
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1086031
% 286.35/286.85 Kept: 195823
% 286.35/286.85 Inuse: 1885
% 286.35/286.85 Deleted: 5124
% 286.35/286.85 Deletedinuse: 14
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1104980
% 286.35/286.85 Kept: 197839
% 286.35/286.85 Inuse: 1890
% 286.35/286.85 Deleted: 5124
% 286.35/286.85 Deletedinuse: 14
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1123962
% 286.35/286.85 Kept: 199854
% 286.35/286.85 Inuse: 1895
% 286.35/286.85 Deleted: 5124
% 286.35/286.85 Deletedinuse: 14
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1143045
% 286.35/286.85 Kept: 201881
% 286.35/286.85 Inuse: 1900
% 286.35/286.85 Deleted: 5124
% 286.35/286.85 Deletedinuse: 14
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1161681
% 286.35/286.85 Kept: 204927
% 286.35/286.85 Inuse: 1915
% 286.35/286.85 Deleted: 5124
% 286.35/286.85 Deletedinuse: 14
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1177342
% 286.35/286.85 Kept: 207287
% 286.35/286.85 Inuse: 1925
% 286.35/286.85 Deleted: 5124
% 286.35/286.85 Deletedinuse: 14
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1198651
% 286.35/286.85 Kept: 209307
% 286.35/286.85 Inuse: 1963
% 286.35/286.85 Deleted: 5124
% 286.35/286.85 Deletedinuse: 14
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying clauses:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1253116
% 286.35/286.85 Kept: 214001
% 286.35/286.85 Inuse: 1990
% 286.35/286.85 Deleted: 5950
% 286.35/286.85 Deletedinuse: 14
% 286.35/286.85
% 286.35/286.85 Resimplifying inuse:
% 286.35/286.85 Done
% 286.35/286.85
% 286.35/286.85
% 286.35/286.85 Intermediate Status:
% 286.35/286.85 Generated: 1294527
% 286.35/286.85 Kept: 216962
% 286.35/286.85 InCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------