TSTP Solution File: ALG376-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG376-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 : Thu Jul 14 12:10:36 EDT 2022
% Result : Unknown 158.50s 158.97s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ALG376-1 : TPTP v8.1.0. Released v4.1.0.
% 0.15/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Wed Jun 8 14:43:21 EDT 2022
% 0.22/0.36 % CPUTime :
% 1.12/1.50 *** allocated 10000 integers for termspace/termends
% 1.12/1.50 *** allocated 10000 integers for clauses
% 1.12/1.50 *** allocated 10000 integers for justifications
% 1.12/1.50 *** allocated 15000 integers for termspace/termends
% 1.12/1.50 *** allocated 22500 integers for termspace/termends
% 1.12/1.50 *** allocated 33750 integers for termspace/termends
% 1.12/1.50 Bliksem 1.12
% 1.12/1.50
% 1.12/1.50
% 1.12/1.50 Automatic Strategy Selection
% 1.12/1.50
% 1.12/1.50 Clauses:
% 1.12/1.50 [
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.50 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.12/1.50 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.12/1.50 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.50 ) ],
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.12/1.50 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.50 ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.12/1.50 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.12/1.50 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.12/1.50 ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.50 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.50 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.12/1.50 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.50 ],
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.12/1.50 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.12/1.50 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.12/1.50 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.12/1.50 ) ],
% 1.12/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.12/1.50 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.12/1.50 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.12/1.50 , Y, 'tc_nat' ) ) ],
% 1.12/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.12/1.50 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.12/1.50 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.50 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.50 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.50 ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.50 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.50 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.12/1.50 ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.50 ), X ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.50 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.12/1.50 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 1.12/1.50 ) ) ), =( X, Y ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.50 , T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.50 , Z, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.50 , T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.50 , Z, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.50 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.12/1.50 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.50 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.12/1.50 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.50 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.50 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.50 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.50 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.50 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.12/1.50 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.12/1.50 [ =( 'c_Transcendental_Otan'(
% 1.12/1.50 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ) )
% 1.12/1.50 , X ) ],
% 1.12/1.50 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1'(
% 1.12/1.50 X, Y, Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 1.12/1.50 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'v_r', 'tc_RealDef_Oreal' ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.12/1.50 ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.50 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.50 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.50 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.12/1.50 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.12/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.50 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.12/1.50 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.12/1.50 T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.12/1.50 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.12/1.50 X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.12/1.50 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.12/1.50 T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.12/1.50 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.50 X ), T, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.12/1.50 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.50 T, X ), X ) ) ],
% 1.12/1.50 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.12/1.50 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.12/1.50 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.50 X ), T, X ) ) ],
% 1.12/1.50 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.50 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.12/1.50 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.12/1.50 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.12/1.50 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.50 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.12/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.12/1.50 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.50 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.12/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.12/1.50 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.50 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.12/1.50 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.12/1.50 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.50 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 ) ],
% 1.12/1.50 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.50 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.12/1.50 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.50 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.12/1.50 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.50 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.12/1.50 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.12/1.50 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.12/1.50 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.50 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.50 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.50 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.12/1.50 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.50 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.12/1.50 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.12/1.50 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.12/1.50 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.12/1.50 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.12/1.50 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.12/1.50 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.12/1.50 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.12/1.50 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.12/1.50 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.12/1.50 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.50 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.50 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.12/1.50 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.50 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.50 'tc_RealDef_Oreal' ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.50 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.12/1.50 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.50 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.50 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.12/1.50 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.50 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.50 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.50 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.12/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.50 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.12/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.12/1.50 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.50 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.50 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.12/1.50 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.12/1.50 ],
% 1.12/1.50 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.50 ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.12/1.50 ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.12/1.50 ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.12/1.50 ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.12/1.50 ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.12/1.50 ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.12/1.50 ],
% 1.12/1.50 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.12/1.50 ), X ), Y ) ],
% 1.12/1.50 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.12/1.50 , 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.50 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.50 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.50 , Y, X ) ) ],
% 1.12/1.50 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.50 , Y, X ) ) ],
% 1.12/1.50 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.50 'tc_Int_Oint' ), Z, 'tc_Int_Oint' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Int_Oint' ), 'tc_Int_Oint' ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.50 'tc_Int_Oint' ), 'tc_Int_Oint' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.50 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_Int_Oint' ), 'tc_Int_Oint' ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ =( 'c_Transcendental_Otan'(
% 1.12/1.50 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ) ), X ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.50 ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.12/1.50 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.12/1.50 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.12/1.50 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.12/1.50 ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.50 ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.12/1.50 ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.50 ), X ) ) ],
% 1.12/1.50 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.12/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.50 X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.50 , T, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.50 , Z, X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.12/1.50 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.12/1.50 ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.50 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.12/1.51 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ =( 'c_RealDef_Oreal'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.51 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_RealDef_Oreal'( X, 'tc_nat' )
% 1.12/1.51 , 'c_RealDef_Oreal'( Y, 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.12/1.51 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'v_d____', 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.12/1.51 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.12/1.51 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.12/1.51 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_Int_Oint' ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_Int_Oint' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.12/1.51 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.12/1.51 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.12/1.51 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.51 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.51 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_RealDef_Oreal'(
% 1.12/1.51 X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ 'c_lessequals'( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y
% 1.12/1.51 , 'tc_nat' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.51 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.12/1.51 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.12/1.51 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.12/1.51 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.12/1.51 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.12/1.51 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.12/1.51 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.51 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.12/1.51 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.51 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.12/1.51 X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.51 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.12/1.51 Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.12/1.51 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.51 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.12/1.51 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 1.12/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.12/1.51 'c_Transcendental_Otan'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.12/1.51 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.12/1.51 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.51 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.51 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.51 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.51 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.12/1.51 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.12/1.51 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.51 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.12/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.12/1.51 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.12/1.51 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.12/1.51 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.12/1.51 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.51 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.51 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.12/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.51 , T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.51 , T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.12/1.51 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.12/1.51 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 Y, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.12/1.51 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.12/1.51 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.12/1.51 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.51 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.12/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.12/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.12/1.51 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.12/1.51 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_g____'( X ),
% 1.12/1.51 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.12/1.51 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.12/1.51 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.51 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.51 'v_sko__local__Xs1__1'( 'v_p', 'v_r', X ), 'tc_Complex_Ocomplex' ), 'v_r'
% 1.12/1.51 , 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 'tc_RealDef_Oreal' ), X,
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.51 'tc_Int_Oint' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.12/1.51 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.12/1.51 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), T, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Int_Oint' ), X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.51 'tc_Int_Oint' ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.12/1.51 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.12/1.51 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.12/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.12/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.51 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.12/1.51 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.51 , X ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.12/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.12/1.51 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.12/1.51 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.12/1.51 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.12/1.51 , Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.12/1.51 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.12/1.51 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.12/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.12/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.12/1.51 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.12/1.51 X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.12/1.51 Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.12/1.51 X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.12/1.51 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.12/1.51 , X ), W, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.12/1.51 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.12/1.51 , X ), T, X ), W, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 'c_Int_OMin', X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.12/1.51 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.12/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.12/1.51 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.51 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.12/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.12/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.12/1.51 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.12/1.51 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.12/1.51 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.12/1.51 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.12/1.51 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.12/1.51 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.12/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_OPls', X, 'tc_Int_Oint' ), X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Int_OPls', 'tc_Int_Oint' ), X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.12/1.51 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.12/1.51 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.51 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.51 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.12/1.51 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.12/1.51 ) ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 'c_Int_OBit1'( Y ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), 'c_Int_Oiszero'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.12/1.51 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.12/1.51 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.12/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.12/1.51 ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.51 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.12/1.51 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.12/1.51 , 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.12/1.51 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.51 Y ), X ), X ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.12/1.51 , X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.12/1.51 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.12/1.51 ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y
% 1.12/1.51 ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.51 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.12/1.51 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.12/1.51 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.12/1.51 , X ), W, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.12/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.12/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.12/1.51 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.12/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.12/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.12/1.51 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.51 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.51 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.12/1.51 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y )
% 1.12/1.51 , 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.51 'tc_Int_Oint' ) ) ) ],
% 1.12/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y )
% 1.12/1.51 , 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.51 'tc_Int_Oint' ) ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.12/1.51 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.12/1.51 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.12/1.51 ), X ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.12/1.51 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.12/1.51 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.51 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.51 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.51 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.12/1.51 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.12/1.51 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.12/1.51 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.12/1.51 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.12/1.51 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.12/1.51 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 1.12/1.51 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.51 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.12/1.51 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'(
% 1.12/1.51 'c_Transcendental_Otan'( X ) ) ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Oarctan'( 'c_Transcendental_Otan'( X ) ), X ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.51 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.51 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.51 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.51 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.51 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.12/1.51 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.12/1.51 W, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.12/1.51 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.12/1.51 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 1.12/1.51 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.12/1.51 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.12/1.51 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.12/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y )
% 1.12/1.51 , 'tc_Int_Oint' ), 'c_Int_OBit0'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.51 'tc_Int_Oint' ) ) ) ],
% 1.12/1.51 [ =( 'c_Int_OBit0'( X ), 'c_HOL_Oplus__class_Oplus'( X, X, 'tc_Int_Oint'
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.12/1.51 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.12/1.51 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.12/1.51 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.12/1.51 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.12/1.51 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.12/1.51 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.51 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.12/1.51 Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.51 , Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.51 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.51 , X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.12/1.51 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.12/1.51 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.12/1.51 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.12/1.51 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.12/1.51 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.12/1.51 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.12/1.51 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.12/1.51 'c_Transcendental_Otan'( X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.12/1.51 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.12/1.51 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.12/1.51 , 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.12/1.51 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.51 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.12/1.51 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.12/1.51 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.51 'tc_nat' ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 1.12/1.51 'tc_nat' ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.51 'tc_nat' ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.51 'tc_nat' ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.12/1.51 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.12/1.51 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.12/1.51 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.12/1.51 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.12/1.51 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.12/1.51 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.12/1.51 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.51 'c_Int_OMin', 'tc_RealDef_Oreal' ), Y, X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.12/1.52 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.52 ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.12/1.52 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.52 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.12/1.52 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.12/1.52 , X ), Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.12/1.52 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.12/1.52 ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.52 ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.52 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.12/1.52 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.12/1.52 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.12/1.52 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.12/1.52 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ) ) ],
% 1.12/1.52 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ) ), 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) )
% 1.12/1.52 ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.12/1.52 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.12/1.52 , X ), T, X ), W, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.12/1.52 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.12/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.12/1.52 W, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.12/1.52 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.12/1.52 , X ), W, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.12/1.52 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.12/1.52 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.12/1.52 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.52 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.12/1.52 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.12/1.52 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.52 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.52 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.12/1.52 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.52 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.12/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.12/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.12/1.52 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), T, X ), X ),
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Int_Oint' ), X ), T, X ) ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.12/1.52 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.12/1.52 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.52 ), X ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.12/1.52 , X ), Y ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.12/1.52 , X ), Y ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.12/1.52 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.12/1.52 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.12/1.52 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.52 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.12/1.52 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.12/1.52 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.12/1.52 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.52 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.12/1.52 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.52 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.12/1.52 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.12/1.52 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.12/1.52 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.12/1.52 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.12/1.52 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.52 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.12/1.52 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.12/1.52 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.12/1.52 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.52 , U, X ), X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.12/1.52 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.12/1.52 , X ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.12/1.52 ), X ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Z, X, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1'(
% 1.12/1.52 T, Y, Z ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1'(
% 1.12/1.52 X, T, Z ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 1.12/1.52 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_Polynomial_Opoly'( 'v_p', Y, 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), 'v_r',
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 1.12/1.52 X, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ) ) ), ~(
% 1.12/1.52 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Z, 'v_s____', 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_Polynomial_Opoly'( 'v_p', 'v_sko__local__Xs1__1'( 'v_p', 'v_r', X ),
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( 'v_s____'
% 1.12/1.52 , 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.12/1.52 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.12/1.52 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.12/1.52 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal'
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.12/1.52 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.52 ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), X ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.12/1.52 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.12/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.12/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.12/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.12/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'v_g____'( 'v_f____'( X ) ), 'v_z____',
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_d____',
% 1.12/1.52 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'v_N1____', X, 'tc_nat' ) ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Opoly'( 'v_p', X,
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_p', 'v_z____',
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 1.12/1.52 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_Polynomial_Opoly'( 'v_p', 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.12/1.52 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_d____',
% 1.12/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.12/1.52 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_Polynomial_Opoly'( 'v_p', 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p', 'v_z____'
% 1.12/1.52 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Opoly'( 'v_p', X,
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_p', 'v_z____',
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 1.12/1.52 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_Polynomial_Opoly'( 'v_p', 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.12/1.52 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_d____',
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_Polynomial_Opoly'( 'v_p', 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_N2____', 'tc_nat' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.12/1.52 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.52 X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.12/1.52 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.52 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.12/1.52 X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.52 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 Z, T, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 Z, T, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.52 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.12/1.52 X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.52 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 Y, T, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 Y, T, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.12/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.12/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.52 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.52 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.52 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.52 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.52 , Y, X ) ) ],
% 1.12/1.52 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.52 , Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.12/1.52 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.12/1.52 X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.12/1.52 X ) ) ],
% 1.12/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.12/1.52 X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.12/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 1.12/1.52 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.12/1.52 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.12/1.52 X ) ) ), =( Y, T ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.12/1.52 X ) ) ), =( Z, T ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.12/1.52 X ) ) ), =( Z, T ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.52 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.12/1.52 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.12/1.52 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.12/1.52 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.12/1.52 X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), ~(
% 1.12/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.12/1.52 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.52 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 Y, X ), Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.52 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.12/1.52 ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.12/1.52 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.12/1.52 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.12/1.52 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.12/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.12/1.52 ), =( Z, Y ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.52 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.52 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.12/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.12/1.52 , X ) ) ), =( Y, Z ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.12/1.52 , X ) ) ), =( Y, Z ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.52 , X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.12/1.52 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.12/1.52 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.12/1.52 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.12/1.52 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.12/1.52 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.12/1.52 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.52 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.12/1.52 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.12/1.52 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.12/1.52 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.52 , T, X ) ) ), =( Z, T ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.12/1.52 , T, X ) ) ), =( Y, Z ) ],
% 1.12/1.52 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.12/1.52 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 Y, Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.52 , U, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.12/1.52 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.12/1.52 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.12/1.52 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.12/1.52 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 Z, Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.12/1.52 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.12/1.52 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.12/1.52 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.12/1.52 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.12/1.52 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.12/1.52 , Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.52 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Opoly'( 'v_p', X,
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_p', 'v_z____',
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 1.12/1.52 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_Polynomial_Opoly'( 'v_p', 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.12/1.52 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_d____',
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'v_g____'( 'v_f____'(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'v_N1____', 'v_N2____', 'tc_nat' ) ) ),
% 1.12/1.52 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_d____',
% 1.12/1.52 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'v_N1____',
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'v_N1____', 'v_N2____', 'tc_nat' ), 'tc_nat'
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Opoly'( 'v_p', 'v_g____'(
% 1.12/1.52 'v_f____'( 'c_HOL_Oplus__class_Oplus'( 'v_N1____', 'v_N2____', 'tc_nat' )
% 1.12/1.52 ) ), 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_p', 'v_z____',
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 1.12/1.52 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.52 'c_Polynomial_Opoly'( 'v_p', 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.12/1.52 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_s____',
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.12/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.12/1.52 ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.12/1.52 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.12/1.52 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.12/1.52 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.12/1.52 ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.12/1.52 ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.12/1.52 ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.12/1.52 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.12/1.52 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.12/1.52 ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.12/1.52 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.12/1.52 ] .
% 1.12/1.52
% 1.12/1.52
% 1.12/1.52 percentage equality = 0.181551, percentage horn = 0.862568
% 1.12/1.52 This is a problem with some equality
% 1.12/1.52
% 1.12/1.52
% 1.12/1.52
% 1.12/1.52 Options Used:
% 1.12/1.52
% 1.12/1.52 useres = 1
% 1.12/1.52 useparamod = 1
% 1.12/1.52 useeqrefl = 1
% 1.12/1.52 useeqfact = 1
% 1.12/1.52 usefactor = 1
% 1.12/1.52 usesimpsplitting = 0
% 1.12/1.52 usesimpdemod = 5
% 1.12/1.52 usesimpres = 3
% 1.12/1.52
% 1.12/1.52 resimpinuse = 1000
% 1.12/1.52 resimpclauses = 20000
% 1.12/1.52 substype = eqrewr
% 1.12/1.52 backwardsubs = 1
% 1.12/1.52 selectoldest = 5
% 1.12/1.52
% 1.12/1.52 litorderings [0] = split
% 1.12/1.52 litorderings [1] = extend the termordering, first sorting on arguments
% 1.12/1.52
% 1.12/1.52 termordering = kbo
% 1.12/1.52
% 1.12/1.52 litapriori = 0
% 1.12/1.52 termapriori = 1
% 1.12/1.52 litaposteriori = 0
% 1.12/1.52 termaposteriori = 0
% 1.12/1.52 demodaposteriori = 0
% 1.12/1.52 ordereqreflfact = 0
% 1.12/1.52
% 1.12/1.52 litselect = negord
% 1.12/1.52
% 1.12/1.52 maxweight = 15
% 1.12/1.52 maxdepth = 30000
% 1.12/1.52 maxlength = 115
% 1.12/1.52 maxnrvars = 195
% 1.12/1.52 excuselevel = 1
% 1.12/1.52 increasemaxweight = 1
% 1.12/1.52
% 1.12/1.52 maxselected = 10000000
% 1.12/1.52 maxnrclauses = 10000000
% 1.12/1.52
% 1.12/1.52 showgenerated = 0
% 1.12/1.52 showkept = 0
% 1.12/1.52 showselected = 0
% 1.12/1.52 showdeleted = 0
% 1.12/1.52 showresimp = 1
% 1.12/1.52 showstatus = 2000
% 1.12/1.52
% 1.12/1.52 prologoutput = 1
% 1.12/1.52 nrgoals = 5000000
% 1.12/1.52 totalproof = 1
% 1.12/1.52
% 1.12/1.52 Symbols occurring in the translation:
% 1.12/1.52
% 1.12/1.52 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.12/1.52 . [1, 2] (w:1, o:141, a:1, s:1, b:0),
% 1.12/1.52 ! [4, 1] (w:0, o:62, a:1, s:1, b:0),
% 1.12/1.52 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.12/1.52 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.12/1.52 'class_Ring__and__Field_Omult__mono1' [40, 1] (w:1, o:68, a:1, s:1
% 1.12/1.52 , b:0),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:174, a:1, s:1, b:0),
% 1.12/1.52 'c_lessequals' [45, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero' [46, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.12/1.52 'class_Ring__and__Field_Oordered__field' [47, 1] (w:1, o:73, a:1, s:1
% 1.12/1.52 , b:0),
% 1.12/1.52 'c_HOL_Oord__class_Oless' [48, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.12/1.52 'c_HOL_Oinverse__class_Oinverse' [49, 2] (w:1, o:166, a:1, s:1, b:0)
% 1.12/1.52 ,
% 1.12/1.52 'c_NthRoot_Osqrt' [51, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.12/1.52 'tc_RealDef_Oreal' [53, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.12/1.52 'class_Ring__and__Field_Oordered__semiring__strict' [54, 1] (w:1, o:
% 1.12/1.52 76, a:1, s:1, b:0),
% 1.12/1.52 'class_Ring__and__Field_Oordered__ring__strict' [55, 1] (w:1, o:75
% 1.12/1.52 , a:1, s:1, b:0),
% 1.12/1.52 'tc_nat' [57, 0] (w:1, o:30, a:1, s:1, b:0),
% 1.12/1.52 'c_RealDef_Oreal' [58, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.12/1.52 'c_Transcendental_Opi' [59, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.12/1.52 'c_Transcendental_Otan' [60, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.12/1.52 'class_OrderedGroup_Opordered__ab__group__add' [61, 1] (w:1, o:81, a:
% 1.12/1.52 1, s:1, b:0),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus' [62, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero' [63, 1] (w:1, o:84, a:1
% 1.12/1.52 , s:1, b:0),
% 1.12/1.52 'c_HOL_Oone__class_Oone' [64, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.12/1.52 'class_Int_Onumber' [65, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide' [66, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.12/1.52
% 1.12/1.52 'c_Int_Onumber__class_Onumber__of' [68, 2] (w:1, o:170, a:1, s:1, b:0
% 1.12/1.52 ),
% 1.12/1.52 'class_OrderedGroup_Oab__semigroup__idem__mult' [69, 1] (w:1, o:87
% 1.12/1.52 , a:1, s:1, b:0),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus' [70, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.12/1.52 'class_Ring__and__Field_Opordered__ring__abs' [71, 1] (w:1, o:92, a:1
% 1.12/1.52 , s:1, b:0),
% 1.12/1.52 'c_HOL_Oabs__class_Oabs' [72, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.12/1.52 'class_OrderedGroup_Opordered__ab__group__add__abs' [74, 1] (w:1, o:
% 1.12/1.52 93, a:1, s:1, b:0),
% 1.12/1.52 'c_Transcendental_Oarctan' [75, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.12/1.52 'class_Orderings_Oorder' [76, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.12/1.52 'class_Ring__and__Field_Ofield' [78, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.12/1.52 'class_Ring__and__Field_Ocomm__semiring__1' [79, 1] (w:1, o:82, a:1
% 1.12/1.52 , s:1, b:0),
% 1.12/1.52 'class_Ring__and__Field_Ozero__neq__one' [84, 1] (w:1, o:97, a:1, s:1
% 4.31/4.68 , b:0),
% 4.31/4.68 'class_Ring__and__Field_Oring__no__zero__divisors' [85, 1] (w:1, o:98
% 4.31/4.68 , a:1, s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Ono__zero__divisors' [86, 1] (w:1, o:72, a:1
% 4.31/4.68 , s:1, b:0),
% 4.31/4.68 'class_OrderedGroup_Opordered__comm__monoid__add' [87, 1] (w:1, o:99
% 4.31/4.68 , a:1, s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Oordered__semiring' [88, 1] (w:1, o:88, a:1
% 4.31/4.68 , s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Omult__mono' [89, 1] (w:1, o:70, a:1, s:1, b:
% 4.31/4.68 0),
% 4.31/4.68 'class_Ring__and__Field_Opordered__ring' [90, 1] (w:1, o:100, a:1, s:
% 4.31/4.68 1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Oidom' [91, 1] (w:1, o:101, a:1, s:1, b:0),
% 4.31/4.68 'class_Int_Onumber__ring' [92, 1] (w:1, o:102, a:1, s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Odivision__ring' [95, 1] (w:1, o:103, a:1, s:
% 4.31/4.68 1, b:0),
% 4.31/4.68 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1' [96, 1
% 4.31/4.68 ] (w:1, o:77, a:1, s:1, b:0),
% 4.31/4.68 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1' [97, 3] (w:1, o:179
% 4.31/4.68 , a:1, s:1, b:0),
% 4.31/4.68 'v_r' [98, 0] (w:1, o:39, a:1, s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Opordered__cancel__semiring' [99, 1] (w:1, o:
% 4.31/4.68 104, a:1, s:1, b:0),
% 4.31/4.68 'class_OrderedGroup_Oab__semigroup__mult' [100, 1] (w:1, o:105, a:1
% 4.31/4.68 , s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Opordered__semiring' [104, 1] (w:1, o:106, a:
% 4.31/4.68 1, s:1, b:0),
% 4.31/4.68 'class_RealVector_Oreal__normed__vector' [105, 1] (w:1, o:107, a:1
% 4.31/4.68 , s:1, b:0),
% 4.31/4.68 'c_RealVector_Onorm__class_Onorm' [106, 2] (w:1, o:171, a:1, s:1, b:0
% 4.31/4.68 ),
% 4.31/4.68 'c_HOL_Ominus__class_Ominus' [107, 3] (w:1, o:180, a:1, s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Oordered__idom' [108, 1] (w:1, o:89, a:1, s:1
% 4.31/4.68 , b:0),
% 4.31/4.68 'class_RealVector_Oreal__vector' [109, 1] (w:1, o:108, a:1, s:1, b:0)
% 4.31/4.68 ,
% 4.31/4.68 'c_RealVector_OscaleR__class_OscaleR' [110, 3] (w:1, o:181, a:1, s:1
% 4.31/4.68 , b:0),
% 4.31/4.68 'class_RealVector_Oreal__normed__algebra' [111, 1] (w:1, o:109, a:1
% 4.31/4.68 , s:1, b:0),
% 4.31/4.68 'class_RealVector_Oreal__algebra' [113, 1] (w:1, o:110, a:1, s:1, b:0
% 4.31/4.68 ),
% 4.31/4.68 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [114, 1]
% 4.31/4.68 (w:1, o:111, a:1, s:1, b:0),
% 4.31/4.68 'class_OrderedGroup_Ocomm__monoid__add' [115, 1] (w:1, o:112, a:1, s:
% 4.31/4.68 1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Olordered__ring' [116, 1] (w:1, o:67, a:1, s:
% 4.31/4.68 1, b:0),
% 4.31/4.68 'class_OrderedGroup_Omonoid__mult' [117, 1] (w:1, o:115, a:1, s:1, b:
% 4.31/4.68 0),
% 4.31/4.68 'class_OrderedGroup_Ocomm__monoid__mult' [118, 1] (w:1, o:116, a:1
% 4.31/4.68 , s:1, b:0),
% 4.31/4.68 'tc_Int_Oint' [119, 0] (w:1, o:43, a:1, s:1, b:0),
% 4.31/4.68 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1' [120, 1]
% 4.31/4.68 (w:1, o:78, a:1, s:1, b:0),
% 4.31/4.68 'v_d____' [121, 0] (w:1, o:44, a:1, s:1, b:0),
% 4.31/4.68 'c_Int_OMin' [122, 0] (w:1, o:45, a:1, s:1, b:0),
% 4.31/4.68 'c_Int_Oiszero' [123, 2] (w:1, o:172, a:1, s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Oordered__comm__semiring__strict' [126, 1]
% 4.31/4.68 (w:1, o:90, a:1, s:1, b:0),
% 4.31/4.68 'class_OrderedGroup_Olordered__ab__group__add' [127, 1] (w:1, o:113
% 4.31/4.68 , a:1, s:1, b:0),
% 4.31/4.68 'class_OrderedGroup_Oordered__ab__group__add' [128, 1] (w:1, o:80, a:
% 4.31/4.68 1, s:1, b:0),
% 4.31/4.68 'class_RealVector_Oreal__normed__div__algebra' [130, 1] (w:1, o:117
% 4.31/4.68 , a:1, s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Oordered__semidom' [131, 1] (w:1, o:91, a:1
% 4.31/4.68 , s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Omult__zero' [132, 1] (w:1, o:71, a:1, s:1
% 4.31/4.68 , b:0),
% 4.31/4.68 'class_Ring__and__Field_Osemiring__1' [133, 1] (w:1, o:119, a:1, s:1
% 4.31/4.68 , b:0),
% 4.31/4.68 'class_Orderings_Opreorder' [134, 1] (w:1, o:120, a:1, s:1, b:0),
% 4.31/4.68 'class_Orderings_Olinorder' [138, 1] (w:1, o:121, a:1, s:1, b:0),
% 4.31/4.68 'class_OrderedGroup_Opordered__ab__semigroup__add' [139, 1] (w:1, o:
% 4.31/4.68 122, a:1, s:1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Ocomm__semiring' [140, 1] (w:1, o:83, a:1, s:
% 4.31/4.68 1, b:0),
% 4.31/4.68 'class_Ring__and__Field_Osemiring' [143, 1] (w:1, o:123, a:1, s:1, b:
% 4.31/4.68 0),
% 4.31/4.68 'class_OrderedGroup_Omonoid__add' [145, 1] (w:1, o:124, a:1, s:1, b:0
% 4.31/4.68 ),
% 4.31/4.68 'c_Int_OBit0' [146, 1] (w:1, o:125, a:1, s:1, b:0),
% 4.31/4.68 'v_g____' [147, 1] (w:1, o:127, a:1, s:1, b:0),
% 4.31/4.68 'tc_Complex_Ocomplex' [148, 0] (w:1, o:51, a:1, s:1, b:0),
% 18.38/18.77 'c_Int_OPls' [149, 0] (w:1, o:52, a:1, s:1, b:0),
% 18.38/18.77 'c_Int_OBit1' [150, 1] (w:1, o:128, a:1, s:1, b:0),
% 18.38/18.77 'v_p' [151, 0] (w:1, o:53, a:1, s:1, b:0),
% 18.38/18.77 'v_sko__local__Xs1__1' [152, 3] (w:1, o:182, a:1, s:1, b:0),
% 18.38/18.77 'v_s____' [153, 0] (w:1, o:54, a:1, s:1, b:0),
% 18.38/18.77 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [155, 1]
% 18.38/18.77 (w:1, o:129, a:1, s:1, b:0),
% 18.38/18.77 'class_OrderedGroup_Oab__group__add' [159, 1] (w:1, o:130, a:1, s:1
% 18.38/18.77 , b:0),
% 18.38/18.77 'class_OrderedGroup_Ogroup__add' [160, 1] (w:1, o:131, a:1, s:1, b:0)
% 18.38/18.77 ,
% 18.38/18.77 'class_Int_Oring__char__0' [161, 1] (w:1, o:132, a:1, s:1, b:0),
% 18.38/18.77 'class_Ring__and__Field_Oring' [162, 1] (w:1, o:118, a:1, s:1, b:0),
% 18.38/18.77
% 18.38/18.77 'class_OrderedGroup_Olordered__ab__group__add__abs' [163, 1] (w:1, o:
% 18.38/18.77 114, a:1, s:1, b:0),
% 18.38/18.77 'class_Ring__and__Field_Oabs__if' [164, 1] (w:1, o:133, a:1, s:1, b:0
% 18.38/18.77 ),
% 18.38/18.77 hAPP [166, 2] (w:1, o:173, a:1, s:1, b:0),
% 18.38/18.77 'class_RealVector_Oreal__normed__field' [168, 1] (w:1, o:134, a:1, s:
% 18.38/18.77 1, b:0),
% 18.38/18.77 'c_Polynomial_Opoly' [172, 3] (w:1, o:183, a:1, s:1, b:0),
% 18.38/18.77 'class_RealVector_Oreal__field' [173, 1] (w:1, o:135, a:1, s:1, b:0)
% 18.38/18.77 ,
% 18.38/18.77 'v_f____' [174, 1] (w:1, o:126, a:1, s:1, b:0),
% 18.38/18.77 'v_z____' [175, 0] (w:1, o:59, a:1, s:1, b:0),
% 18.38/18.77 'v_N1____' [176, 0] (w:1, o:60, a:1, s:1, b:0),
% 18.38/18.77 'v_N2____' [178, 0] (w:1, o:61, a:1, s:1, b:0),
% 18.38/18.77 'class_OrderedGroup_Ocancel__semigroup__add' [179, 1] (w:1, o:136, a:
% 18.38/18.77 1, s:1, b:0),
% 18.38/18.77 'class_OrderedGroup_Ocancel__ab__semigroup__add' [180, 1] (w:1, o:137
% 18.38/18.77 , a:1, s:1, b:0),
% 18.38/18.77 'class_RealVector_Oreal__normed__algebra__1' [181, 1] (w:1, o:138, a:
% 18.38/18.77 1, s:1, b:0),
% 18.38/18.77 'class_Lattices_Oboolean__algebra' [182, 1] (w:1, o:139, a:1, s:1, b:
% 18.38/18.77 0),
% 18.38/18.77 'class_OrderedGroup_Oab__semigroup__add' [183, 1] (w:1, o:140, a:1
% 18.38/18.77 , s:1, b:0).
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Starting Search:
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 4094
% 18.38/18.77 Kept: 2115
% 18.38/18.77 Inuse: 135
% 18.38/18.77 Deleted: 1
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 9582
% 18.38/18.77 Kept: 4125
% 18.38/18.77 Inuse: 234
% 18.38/18.77 Deleted: 5
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 15845
% 18.38/18.77 Kept: 6132
% 18.38/18.77 Inuse: 248
% 18.38/18.77 Deleted: 5
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 22822
% 18.38/18.77 Kept: 8236
% 18.38/18.77 Inuse: 291
% 18.38/18.77 Deleted: 5
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 32897
% 18.38/18.77 Kept: 10533
% 18.38/18.77 Inuse: 310
% 18.38/18.77 Deleted: 6
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 40533
% 18.38/18.77 Kept: 12624
% 18.38/18.77 Inuse: 340
% 18.38/18.77 Deleted: 6
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 61700
% 18.38/18.77 Kept: 14683
% 18.38/18.77 Inuse: 369
% 18.38/18.77 Deleted: 7
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 75258
% 18.38/18.77 Kept: 17275
% 18.38/18.77 Inuse: 404
% 18.38/18.77 Deleted: 7
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 89896
% 18.38/18.77 Kept: 19784
% 18.38/18.77 Inuse: 471
% 18.38/18.77 Deleted: 10
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying clauses:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 101764
% 18.38/18.77 Kept: 21839
% 18.38/18.77 Inuse: 491
% 18.38/18.77 Deleted: 468
% 18.38/18.77 Deletedinuse: 3
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 118503
% 18.38/18.77 Kept: 24312
% 18.38/18.77 Inuse: 521
% 18.38/18.77 Deleted: 468
% 18.38/18.77 Deletedinuse: 3
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 127870
% 18.38/18.77 Kept: 27009
% 18.38/18.77 Inuse: 531
% 18.38/18.77 Deleted: 468
% 18.38/18.77 Deletedinuse: 3
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 144317
% 18.38/18.77 Kept: 29080
% 18.38/18.77 Inuse: 537
% 18.38/18.77 Deleted: 483
% 18.38/18.77 Deletedinuse: 4
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 159002
% 18.38/18.77 Kept: 31193
% 63.74/64.14 Inuse: 542
% 63.74/64.14 Deleted: 503
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 168842
% 63.74/64.14 Kept: 33406
% 63.74/64.14 Inuse: 564
% 63.74/64.14 Deleted: 506
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 186399
% 63.74/64.14 Kept: 35953
% 63.74/64.14 Inuse: 589
% 63.74/64.14 Deleted: 506
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 199012
% 63.74/64.14 Kept: 38026
% 63.74/64.14 Inuse: 619
% 63.74/64.14 Deleted: 506
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 208392
% 63.74/64.14 Kept: 40235
% 63.74/64.14 Inuse: 654
% 63.74/64.14 Deleted: 506
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying clauses:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 216328
% 63.74/64.14 Kept: 42299
% 63.74/64.14 Inuse: 684
% 63.74/64.14 Deleted: 841
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 225802
% 63.74/64.14 Kept: 44308
% 63.74/64.14 Inuse: 716
% 63.74/64.14 Deleted: 841
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 233318
% 63.74/64.14 Kept: 46319
% 63.74/64.14 Inuse: 733
% 63.74/64.14 Deleted: 841
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 243330
% 63.74/64.14 Kept: 48367
% 63.74/64.14 Inuse: 749
% 63.74/64.14 Deleted: 841
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 254021
% 63.74/64.14 Kept: 51026
% 63.74/64.14 Inuse: 778
% 63.74/64.14 Deleted: 841
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 270209
% 63.74/64.14 Kept: 53695
% 63.74/64.14 Inuse: 824
% 63.74/64.14 Deleted: 841
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 281675
% 63.74/64.14 Kept: 55994
% 63.74/64.14 Inuse: 854
% 63.74/64.14 Deleted: 841
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 289165
% 63.74/64.14 Kept: 58157
% 63.74/64.14 Inuse: 879
% 63.74/64.14 Deleted: 841
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 297711
% 63.74/64.14 Kept: 60273
% 63.74/64.14 Inuse: 904
% 63.74/64.14 Deleted: 841
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying clauses:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 308248
% 63.74/64.14 Kept: 62301
% 63.74/64.14 Inuse: 939
% 63.74/64.14 Deleted: 1666
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 321866
% 63.74/64.14 Kept: 64950
% 63.74/64.14 Inuse: 954
% 63.74/64.14 Deleted: 1666
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 335119
% 63.74/64.14 Kept: 67697
% 63.74/64.14 Inuse: 989
% 63.74/64.14 Deleted: 1666
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 345765
% 63.74/64.14 Kept: 69873
% 63.74/64.14 Inuse: 1009
% 63.74/64.14 Deleted: 1666
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 358008
% 63.74/64.14 Kept: 72033
% 63.74/64.14 Inuse: 1029
% 63.74/64.14 Deleted: 1666
% 63.74/64.14 Deletedinuse: 4
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 369781
% 63.74/64.14 Kept: 74230
% 63.74/64.14 Inuse: 1055
% 63.74/64.14 Deleted: 1667
% 63.74/64.14 Deletedinuse: 5
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 382627
% 63.74/64.14 Kept: 76493
% 63.74/64.14 Inuse: 1071
% 63.74/64.14 Deleted: 1670
% 63.74/64.14 Deletedinuse: 5
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 391820
% 63.74/64.14 Kept: 79680
% 63.74/64.14 Inuse: 1081
% 63.74/64.14 Deleted: 1670
% 63.74/64.14 Deletedinuse: 5
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying clauses:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 403063
% 63.74/64.14 Kept: 81847
% 63.74/64.14 Inuse: 1106
% 63.74/64.14 Deleted: 2366
% 63.74/64.14 Deletedinuse: 5
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 415126
% 63.74/64.14 Kept: 83875
% 63.74/64.14 Inuse: 1141
% 63.74/64.14 Deleted: 2366
% 63.74/64.14 Deletedinuse: 5
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 63.74/64.14 Done
% 63.74/64.14
% 63.74/64.14
% 63.74/64.14 Intermediate Status:
% 63.74/64.14 Generated: 425264
% 63.74/64.14 Kept: 86042
% 63.74/64.14 Inuse: 1166
% 63.74/64.14 Deleted: 2366
% 63.74/64.14 Deletedinuse: 5
% 63.74/64.14
% 63.74/64.14 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 456655
% 151.74/152.12 Kept: 89958
% 151.74/152.12 Inuse: 1191
% 151.74/152.12 Deleted: 2366
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 481288
% 151.74/152.12 Kept: 92071
% 151.74/152.12 Inuse: 1196
% 151.74/152.12 Deleted: 2366
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 492065
% 151.74/152.12 Kept: 94904
% 151.74/152.12 Inuse: 1211
% 151.74/152.12 Deleted: 2366
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 505670
% 151.74/152.12 Kept: 97423
% 151.74/152.12 Inuse: 1231
% 151.74/152.12 Deleted: 2366
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 517641
% 151.74/152.12 Kept: 99445
% 151.74/152.12 Inuse: 1246
% 151.74/152.12 Deleted: 2366
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying clauses:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 532404
% 151.74/152.12 Kept: 101448
% 151.74/152.12 Inuse: 1282
% 151.74/152.12 Deleted: 3947
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 545078
% 151.74/152.12 Kept: 106622
% 151.74/152.12 Inuse: 1296
% 151.74/152.12 Deleted: 3947
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 554433
% 151.74/152.12 Kept: 108647
% 151.74/152.12 Inuse: 1322
% 151.74/152.12 Deleted: 3947
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 565245
% 151.74/152.12 Kept: 113053
% 151.74/152.12 Inuse: 1338
% 151.74/152.12 Deleted: 3948
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 579506
% 151.74/152.12 Kept: 115266
% 151.74/152.12 Inuse: 1365
% 151.74/152.12 Deleted: 3948
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 592838
% 151.74/152.12 Kept: 117299
% 151.74/152.12 Inuse: 1392
% 151.74/152.12 Deleted: 3948
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 600545
% 151.74/152.12 Kept: 119867
% 151.74/152.12 Inuse: 1395
% 151.74/152.12 Deleted: 3948
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying clauses:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 612741
% 151.74/152.12 Kept: 122169
% 151.74/152.12 Inuse: 1415
% 151.74/152.12 Deleted: 4406
% 151.74/152.12 Deletedinuse: 5
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 621864
% 151.74/152.12 Kept: 124288
% 151.74/152.12 Inuse: 1435
% 151.74/152.12 Deleted: 4408
% 151.74/152.12 Deletedinuse: 7
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 631095
% 151.74/152.12 Kept: 126321
% 151.74/152.12 Inuse: 1453
% 151.74/152.12 Deleted: 4408
% 151.74/152.12 Deletedinuse: 7
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 640806
% 151.74/152.12 Kept: 128321
% 151.74/152.12 Inuse: 1472
% 151.74/152.12 Deleted: 4408
% 151.74/152.12 Deletedinuse: 7
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 649816
% 151.74/152.12 Kept: 130380
% 151.74/152.12 Inuse: 1490
% 151.74/152.12 Deleted: 4408
% 151.74/152.12 Deletedinuse: 7
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 661628
% 151.74/152.12 Kept: 132387
% 151.74/152.12 Inuse: 1513
% 151.74/152.12 Deleted: 4408
% 151.74/152.12 Deletedinuse: 7
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 672422
% 151.74/152.12 Kept: 134704
% 151.74/152.12 Inuse: 1530
% 151.74/152.12 Deleted: 4408
% 151.74/152.12 Deletedinuse: 7
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 682785
% 151.74/152.12 Kept: 136916
% 151.74/152.12 Inuse: 1555
% 151.74/152.12 Deleted: 4408
% 151.74/152.12 Deletedinuse: 7
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 691695
% 151.74/152.12 Kept: 138927
% 151.74/152.12 Inuse: 1575
% 151.74/152.12 Deleted: 4408
% 151.74/152.12 Deletedinuse: 7
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 709961
% 151.74/152.12 Kept: 142198
% 151.74/152.12 Inuse: 1585
% 151.74/152.12 Deleted: 4408
% 151.74/152.12 Deletedinuse: 7
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying clauses:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 726655
% 151.74/152.12 Kept: 145011
% 151.74/152.12 Inuse: 1590
% 151.74/152.12 Deleted: 6686
% 151.74/152.12 Deletedinuse: 7
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 739642
% 151.74/152.12 Kept: 147404
% 151.74/152.12 Inuse: 1615
% 151.74/152.12 Deleted: 6687
% 151.74/152.12 Deletedinuse: 8
% 151.74/152.12
% 151.74/152.12 Resimplifying inuse:
% 151.74/152.12 Done
% 151.74/152.12
% 151.74/152.12
% 151.74/152.12 Intermediate Status:
% 151.74/152.12 Generated: 746095
% 151.74/152.12 Kept: 149969
% 151.74/152.12 Inuse: 1617
% 158.50/158.96 Deleted: 6687
% 158.50/158.96 Deletedinuse: 8
% 158.50/158.96
% 158.50/158.96 Resimplifying inuse:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96 Resimplifying inuse:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96
% 158.50/158.96 Intermediate Status:
% 158.50/158.96 Generated: 754734
% 158.50/158.96 Kept: 151971
% 158.50/158.96 Inuse: 1635
% 158.50/158.96 Deleted: 6687
% 158.50/158.96 Deletedinuse: 8
% 158.50/158.96
% 158.50/158.96 Resimplifying inuse:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96 Resimplifying inuse:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96
% 158.50/158.96 Intermediate Status:
% 158.50/158.96 Generated: 769974
% 158.50/158.96 Kept: 154861
% 158.50/158.96 Inuse: 1650
% 158.50/158.96 Deleted: 6687
% 158.50/158.96 Deletedinuse: 8
% 158.50/158.96
% 158.50/158.96 Resimplifying inuse:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96 Resimplifying inuse:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96
% 158.50/158.96 Intermediate Status:
% 158.50/158.96 Generated: 783663
% 158.50/158.96 Kept: 157303
% 158.50/158.96 Inuse: 1660
% 158.50/158.96 Deleted: 6687
% 158.50/158.96 Deletedinuse: 8
% 158.50/158.96
% 158.50/158.96
% 158.50/158.96 Intermediate Status:
% 158.50/158.96 Generated: 827285
% 158.50/158.96 Kept: 160887
% 158.50/158.96 Inuse: 1665
% 158.50/158.96 Deleted: 6687
% 158.50/158.96 Deletedinuse: 8
% 158.50/158.96
% 158.50/158.96 Resimplifying inuse:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96 Resimplifying inuse:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96 Resimplifying clauses:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96
% 158.50/158.96 Intermediate Status:
% 158.50/158.96 Generated: 840481
% 158.50/158.96 Kept: 162952
% 158.50/158.96 Inuse: 1690
% 158.50/158.96 Deleted: 7180
% 158.50/158.96 Deletedinuse: 8
% 158.50/158.96
% 158.50/158.96 Resimplifying inuse:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96 Resimplifying inuse:
% 158.50/158.96 Done
% 158.50/158.96
% 158.50/158.96
% 158.50/158.96 Intermediate Status:
% 158.50/158.96 Generated: 852015
% 158.50/158.96 Kept: 165314
% 158.50/158.96 Inuse: 1715
% 158.50/158.97 Deleted: 7182
% 158.50/158.97 Deletedinuse: 10
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 866945
% 158.50/158.97 Kept: 168320
% 158.50/158.97 Inuse: 1730
% 158.50/158.97 Deleted: 7182
% 158.50/158.97 Deletedinuse: 10
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 876941
% 158.50/158.97 Kept: 170483
% 158.50/158.97 Inuse: 1735
% 158.50/158.97 Deleted: 7182
% 158.50/158.97 Deletedinuse: 10
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 886476
% 158.50/158.97 Kept: 172486
% 158.50/158.97 Inuse: 1758
% 158.50/158.97 Deleted: 7293
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 897625
% 158.50/158.97 Kept: 174487
% 158.50/158.97 Inuse: 1792
% 158.50/158.97 Deleted: 7293
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 907223
% 158.50/158.97 Kept: 176591
% 158.50/158.97 Inuse: 1810
% 158.50/158.97 Deleted: 7293
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 941120
% 158.50/158.97 Kept: 180517
% 158.50/158.97 Inuse: 1820
% 158.50/158.97 Deleted: 7293
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 953833
% 158.50/158.97 Kept: 182699
% 158.50/158.97 Inuse: 1825
% 158.50/158.97 Deleted: 7293
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying clauses:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 961529
% 158.50/158.97 Kept: 186728
% 158.50/158.97 Inuse: 1825
% 158.50/158.97 Deleted: 15018
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 994962
% 158.50/158.97 Kept: 189539
% 158.50/158.97 Inuse: 1830
% 158.50/158.97 Deleted: 15018
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 1029497
% 158.50/158.97 Kept: 192479
% 158.50/158.97 Inuse: 1835
% 158.50/158.97 Deleted: 15018
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 1037643
% 158.50/158.97 Kept: 194575
% 158.50/158.97 Inuse: 1850
% 158.50/158.97 Deleted: 15018
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 1053750
% 158.50/158.97 Kept: 199412
% 158.50/158.97 Inuse: 1865
% 158.50/158.97 Deleted: 15018
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 1092052
% 158.50/158.97 Kept: 201652
% 158.50/158.97 Inuse: 1870
% 158.50/158.97 Deleted: 15018
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 1127855
% 158.50/158.97 Kept: 203739
% 158.50/158.97 Inuse: 1875
% 158.50/158.97 Deleted: 15018
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 1136861
% 158.50/158.97 Kept: 205791
% 158.50/158.97 Inuse: 1898
% 158.50/158.97 Deleted: 15018
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying clauses:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 1143883
% 158.50/158.97 Kept: 208030
% 158.50/158.97 Inuse: 1910
% 158.50/158.97 Deleted: 15596
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 1150366
% 158.50/158.97 Kept: 210039
% 158.50/158.97 Inuse: 1924
% 158.50/158.97 Deleted: 15596
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97
% 158.50/158.97 Intermediate Status:
% 158.50/158.97 Generated: 1158176
% 158.50/158.97 Kept: 212358
% 158.50/158.97 Inuse: 1940
% 158.50/158.97 Deleted: 15596
% 158.50/158.97 Deletedinuse: 121
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Done
% 158.50/158.97
% 158.50/158.97 Resimplifying inuse:
% 158.50/158.97 Segmentation fault (core dumped)
% 158.50/158.97 Bliksem ended
%------------------------------------------------------------------------------