TSTP Solution File: ALG355-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG355-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 12:10:28 EDT 2022
% Result : Timeout 300.02s 300.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG355-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 9 01:56:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.03/1.39 *** allocated 10000 integers for termspace/termends
% 1.03/1.39 *** allocated 10000 integers for clauses
% 1.03/1.39 *** allocated 10000 integers for justifications
% 1.03/1.39 *** allocated 15000 integers for termspace/termends
% 1.03/1.39 *** allocated 22500 integers for termspace/termends
% 1.03/1.39 *** allocated 33750 integers for termspace/termends
% 1.03/1.39 Bliksem 1.12
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 Automatic Strategy Selection
% 1.03/1.39
% 1.03/1.39 Clauses:
% 1.03/1.39 [
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.39 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.39 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.03/1.39 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.39 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.03/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.03/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.39 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.39 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.39 Y, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.03/1.39 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 1.03/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.03/1.39 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 1.03/1.39 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.03/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.03/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.39 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.03/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.39 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.39 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.03/1.39 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.39 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.39 ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.39 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.03/1.39 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.03/1.39 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.03/1.39 ), X ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.03/1.39 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.03/1.39 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.39 , Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.39 , Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.39 ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.03/1.39 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.39 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.03/1.39 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.03/1.39 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.39 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.39 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.39 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.39 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.03/1.39 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.03/1.39 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 1.03/1.39 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.03/1.39 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.03/1.39 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.39 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.39 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.39 ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.03/1.39 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.39 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.39 ), =( Z, Y ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.03/1.39 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.03/1.39 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.03/1.39 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.39 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.39 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.03/1.39 , X ) ) ), =( Y, Z ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.03/1.39 , X ) ) ), =( Y, Z ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.03/1.39 , X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.39 Z, T, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.03/1.39 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.39 ) ],
% 1.03/1.39 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.39 , T, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.39 , T, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.39 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.03/1.39 , X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.03/1.39 ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.03/1.39 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.03/1.39 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.39 ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.03/1.39 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.39 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.39 , T, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.03/1.39 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.03/1.39 ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 X ), T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.03/1.39 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.39 ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.03/1.39 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.03/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.03/1.39 ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.03/1.39 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.03/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.39 Y, Z, X ), X ) ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.03/1.39 , 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.03/1.39 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.39 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.39 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.03/1.39 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.39 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.39 ), Y ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.39 ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.39 ) ) ],
% 1.03/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.39 ), Y ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.39 ), Y ) ],
% 1.03/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.03/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.03/1.39 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.39 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.03/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.39 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.39 X ) ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.03/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.03/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.39 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.03/1.39 ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.03/1.39 ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.39 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.03/1.39 ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.39 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.39 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.03/1.39 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.03/1.39 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.39 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.03/1.39 ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.03/1.39 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.03/1.39 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.03/1.39 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.39 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.39 ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.39 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.39 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.39 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.39 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.39 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.39 ), X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.39 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.39 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.39 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.39 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.39 ), X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.03/1.39 ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.39 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.39 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.03/1.39 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ) ) ],
% 1.03/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.39 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.03/1.39 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.03/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.39 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 X ), T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.39 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.39 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.39 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.39 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.39 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.39 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.39 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.39 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.39 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.39 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.39 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.39 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.39 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.03/1.39 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.03/1.39 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.03/1.39 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.39 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.03/1.39 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 Y, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 Y, Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.39 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.39 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.03/1.39 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.03/1.39 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.39 , Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.39 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.03/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.03/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.03/1.39 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Z, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Z, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.03/1.39 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.39 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.39 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.03/1.39 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.39 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.03/1.39 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 Z, T, 'tc_nat' ), X ) ) ],
% 1.03/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.03/1.39 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.03/1.39 , X ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.03/1.39 , X ), Z, X ) ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.03/1.39 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.39 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.03/1.39 Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.03/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.39 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ =( 'c_Complex_ORe'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), X ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ =( 'c_Complex_OIm'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), Y ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 1.03/1.39 ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.03/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.39 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.03/1.39 , X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.39 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.39 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.39 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.39 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.39 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.39 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.39 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.39 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.39 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.39 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.39 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.39 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.39 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.39 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.39 Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.39 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , T, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.39 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , T, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.39 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.03/1.39 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.03/1.39 ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.39 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.03/1.39 ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.39 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , Z, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.39 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , Z, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.39 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.03/1.39 , Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.39 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 Y, T, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.39 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 Y, T, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.39 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.39 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.39 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 X ), T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.39 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.39 X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.39 Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.03/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.39 Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.03/1.39 X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.39 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.39 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.03/1.39 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.39 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.03/1.39 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.39 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.39 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.39 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.39 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.39 , T, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.39 , T, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.39 , Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.03/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.03/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.03/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.39 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.03/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.39 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.39 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.39 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.39 , X ), X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.39 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.39 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.39 , X ), X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.39 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.39 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.39 ), X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.39 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.39 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.39 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.39 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.39 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.40 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.03/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.03/1.40 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.40 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.03/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.03/1.40 , X ), W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.03/1.40 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.03/1.40 W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.03/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.03/1.40 , X ), T, X ), W, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.03/1.40 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.03/1.40 W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.40 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.03/1.40 , X ), W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.40 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.03/1.40 , X ), T, X ), W, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.03/1.40 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.03/1.40 , X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.03/1.40 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.03/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.03/1.40 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.03/1.40 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.03/1.40 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.03/1.40 , Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.03/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.03/1.40 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.03/1.40 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.03/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.03/1.40 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.03/1.40 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.03/1.40 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.03/1.40 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.03/1.40 X ), X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.03/1.40 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_OIm'( X ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.03/1.40 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.40 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), T, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.03/1.40 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.03/1.40 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_Complex_Ocomplex_OComplex'( X
% 1.03/1.40 , Y ), 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.03/1.40 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.03/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_Complex_Ocomplex' ),
% 1.03/1.40 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Complex_ORe'( X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Complex_ORe'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Complex_OIm'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Complex_OIm'( X ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_Complex_ORe'( X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Complex_OIm'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.40 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.40 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ), =( Y
% 1.03/1.40 , Z ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), =(
% 1.03/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.40 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.40 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.40 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.03/1.40 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.40 Y, X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.03/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.03/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.03/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.03/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.40 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.03/1.40 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.03/1.40 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.03/1.40 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.03/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.03/1.40 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.03/1.40 ), X ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.03/1.40 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.03/1.40 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( X ),
% 1.03/1.40 'c_Complex_OIm'( X ) ), X ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), X ) ), 'c_lessequals'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ) ), X ), ~(
% 1.03/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_NthRoot_Osqrt'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( T, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocomplex_OComplex'( X
% 1.03/1.40 , Y ), 'tc_Complex_Ocomplex' ), 'c_NthRoot_Osqrt'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( T,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_RealVector_Onorm__class_Onorm'( 'v_z', 'tc_Complex_Ocomplex' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Complex_ORe'( 'v_z' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Complex_OIm'( 'v_z' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ =( 'c_Complex_OIm'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.03/1.40 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Complex_OIm'( X ), 'tc_RealDef_Oreal'
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_Complex_ORe'( X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Complex_OIm'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.03/1.40 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.40 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.03/1.40 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.03/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.03/1.40 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.03/1.40 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.03/1.40 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.03/1.40 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.03/1.40 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.03/1.40 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 Z, Y, X ), X ) ) ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 X ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.03/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.03/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.03/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.40 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.03/1.40 , X ), W, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.40 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.03/1.40 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.40 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.03/1.40 Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.03/1.40 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.03/1.40 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.03/1.40 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.03/1.40 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.03/1.40 ), Y ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.03/1.40 ), Y ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.03/1.40 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( =( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ), Y ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( =( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_RealVector_Onorm__class_Onorm'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.40 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.03/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.03/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.03/1.40 ), Y ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.03/1.40 , U, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.03/1.40 ), Y ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.03/1.40 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.40 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.40 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.40 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.03/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.03/1.40 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.40 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, T, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.03/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.03/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.40 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.03/1.40 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.40 , T, X ) ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.03/1.40 , T, X ) ) ), =( Z, T ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.03/1.40 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.40 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.03/1.40 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.03/1.40 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.03/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.40 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.03/1.40 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.40 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.03/1.40 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.40 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.40 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.03/1.40 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.40 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.40 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.03/1.40 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.03/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( T, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( T, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X )
% 1.03/1.40 ) ],
% 1.03/1.40 [ =( 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.03/1.40 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Complex_ORe'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Complex_OIm'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ =( 'c_Complex_ORe'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.03/1.40 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.40 'c_Complex_ORe'( X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Complex_ORe'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_Complex_OIm'( X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.03/1.40 X ), X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.03/1.40 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.03/1.40 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.03/1.40 [ ~( =( 'c_Complex_OIm'( X ), 'c_Complex_OIm'( Y ) ) ), ~( =(
% 1.03/1.40 'c_Complex_ORe'( X ), 'c_Complex_ORe'( Y ) ) ), =( X, Y ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.03/1.40 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.03/1.40 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.40 ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.40 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.40 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.40 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.03/1.40 Y, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.03/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.03/1.40 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.03/1.40 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.03/1.40 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.03/1.40 X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.03/1.40 X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.40 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.03/1.40 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.03/1.40 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Complex_OIm'( 'c_HOL_Oinverse__class_Oinverse'( 'v_b',
% 1.03/1.40 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_Complex_OIm'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'v_b', 'tc_Complex_Ocomplex' ) ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Complex_OIm'( 'v_b' ), 'c_Complex_OIm'(
% 1.03/1.40 'v_b' ), 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Complex_ORe'( 'v_b' ), 'c_Complex_ORe'( 'v_b' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 'c_Complex_ORe'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'v_b', 'tc_Complex_Ocomplex' ) ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Complex_ORe'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'v_b', 'tc_Complex_Ocomplex' ) ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Complex_OIm'( 'v_b' ), 'c_Complex_OIm'(
% 1.03/1.40 'v_b' ), 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Complex_ORe'( 'v_b' ), 'c_Complex_ORe'( 'v_b' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_Complex_ORe'( 'c_HOL_Oinverse__class_Oinverse'( 'v_b',
% 1.03/1.40 'tc_Complex_Ocomplex' ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( 'c_Complex_OIm'(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'v_b', 'tc_Complex_Ocomplex' ) ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Complex_OIm'( 'v_b' ), 'c_Complex_OIm'(
% 1.03/1.40 'v_b' ), 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Complex_ORe'( 'v_b' ), 'c_Complex_ORe'( 'v_b' ), 'tc_RealDef_Oreal' )
% 1.03/1.40 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.03/1.40 X ) ) ), =( Y, T ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.03/1.40 X ) ) ), =( Z, T ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.03/1.40 X ) ) ), =( Z, T ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.03/1.40 X ), X ) ) ],
% 1.03/1.40 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.03/1.40 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 X ), T, X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.40 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.40 T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.40 X ), T, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.03/1.40 T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.40 X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.03/1.40 T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.40 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.03/1.40 Y, X ), Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.03/1.40 , X ), Y ) ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.03/1.40 , X ), Y ) ],
% 1.03/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.03/1.40 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.03/1.40 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.40 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.03/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.03/1.40 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.03/1.40 ), X ), Y ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.40 , Y, X ) ) ],
% 1.03/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.40 , Y, X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.03/1.40 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.03/1.40 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.40 , T, X ), X ) ) ],
% 1.03/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.40 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y
% 1.03/1.40 , X ) ) ],
% 1.03/1.40 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.03/1.40 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.03/1.40 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.03/1.40 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 1.03/1.40 ) ) ],
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.03/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.03/1.40 ],
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.03/1.40 ,
% 1.03/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.40 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_Power_Opower__class_Opower'( Y
% 1.03/1.40 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.40 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.03/1.41 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.03/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 'c_Power_Opower__class_Opower'( 'c_Complex_ORe'(
% 1.03/1.41 'c_HOL_Oinverse__class_Oinverse'( 'v_b', 'tc_Complex_Ocomplex' ) ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_Power_Opower__class_Opower'( 'c_Complex_OIm'(
% 1.03/1.41 'c_HOL_Oinverse__class_Oinverse'( 'v_b', 'tc_Complex_Ocomplex' ) ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.41 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Complex_OIm'( 'v_b' ), 'c_Complex_OIm'(
% 1.03/1.41 'v_b' ), 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 'c_Complex_ORe'( 'v_b' ), 'c_Complex_ORe'( 'v_b' ), 'tc_RealDef_Oreal' )
% 1.03/1.41 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.03/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.03/1.41 'v_b', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.03/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.41 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.41 'c_Power_Opower__class_Opower'( 'c_RealVector_Onorm__class_Onorm'( 'v_b'
% 1.03/1.41 , 'tc_Complex_Ocomplex' ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.03/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.03/1.41 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.03/1.41 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.03/1.41 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.03/1.41 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.03/1.41 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.03/1.41 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.03/1.41 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.03/1.41 ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.41 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.41 ] .
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 percentage equality = 0.196145, percentage horn = 0.860182
% 1.03/1.41 This is a problem with some equality
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 Options Used:
% 1.03/1.41
% 1.03/1.41 useres = 1
% 1.03/1.41 useparamod = 1
% 1.03/1.41 useeqrefl = 1
% 1.03/1.41 useeqfact = 1
% 1.03/1.41 usefactor = 1
% 1.03/1.41 usesimpsplitting = 0
% 1.03/1.41 usesimpdemod = 5
% 1.03/1.41 usesimpres = 3
% 1.03/1.41
% 1.03/1.41 resimpinuse = 1000
% 1.03/1.41 resimpclauses = 20000
% 1.03/1.41 substype = eqrewr
% 1.03/1.41 backwardsubs = 1
% 1.03/1.41 selectoldest = 5
% 1.03/1.41
% 1.03/1.41 litorderings [0] = split
% 1.03/1.41 litorderings [1] = extend the termordering, first sorting on arguments
% 1.03/1.41
% 1.03/1.41 termordering = kbo
% 1.03/1.41
% 1.03/1.41 litapriori = 0
% 1.03/1.41 termapriori = 1
% 1.03/1.41 litaposteriori = 0
% 1.03/1.41 termaposteriori = 0
% 1.03/1.41 demodaposteriori = 0
% 1.03/1.41 ordereqreflfact = 0
% 1.03/1.41
% 1.03/1.41 litselect = negord
% 1.03/1.41
% 1.03/1.41 maxweight = 15
% 1.03/1.41 maxdepth = 30000
% 1.03/1.41 maxlength = 115
% 1.03/1.41 maxnrvars = 195
% 1.03/1.41 excuselevel = 1
% 1.03/1.41 increasemaxweight = 1
% 1.03/1.41
% 1.03/1.41 maxselected = 10000000
% 1.03/1.41 maxnrclauses = 10000000
% 1.03/1.41
% 1.03/1.41 showgenerated = 0
% 1.03/1.41 showkept = 0
% 1.03/1.41 showselected = 0
% 1.03/1.41 showdeleted = 0
% 1.03/1.41 showresimp = 1
% 1.03/1.41 showstatus = 2000
% 1.03/1.41
% 1.03/1.41 prologoutput = 1
% 1.03/1.41 nrgoals = 5000000
% 1.03/1.41 totalproof = 1
% 1.03/1.41
% 1.03/1.41 Symbols occurring in the translation:
% 1.03/1.41
% 1.03/1.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.03/1.41 . [1, 2] (w:1, o:135, a:1, s:1, b:0),
% 1.03/1.41 ! [4, 1] (w:0, o:60, a:1, s:1, b:0),
% 1.03/1.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.41 'class_Orderings_Oorder' [40, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.03/1.41 'c_lessequals' [44, 3] (w:1, o:168, a:1, s:1, b:0),
% 1.03/1.41 'tc_RealDef_Oreal' [46, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Ouminus__class_Ouminus' [47, 2] (w:1, o:160, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Ozero__class_Ozero' [49, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Oplus__class_Oplus' [50, 3] (w:1, o:169, a:1, s:1, b:0),
% 1.03/1.41 'tc_nat' [53, 0] (w:1, o:25, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes' [54, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.03/1.41 'class_Ring__and__Field_Oordered__field' [56, 1] (w:1, o:69, a:1, s:1
% 1.03/1.41 , b:0),
% 1.03/1.41 'c_HOL_Oinverse__class_Odivide' [58, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.03/1.41
% 1.03/1.41 'class_Ring__and__Field_Ofield' [60, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.03/1.41 'class_Ring__and__Field_Odivision__by__zero' [61, 1] (w:1, o:74, a:1
% 1.03/1.41 , s:1, b:0),
% 1.03/1.41 'class_OrderedGroup_Oordered__ab__group__add' [62, 1] (w:1, o:75, a:1
% 1.03/1.41 , s:1, b:0),
% 1.03/1.41 'c_HOL_Ominus__class_Ominus' [65, 3] (w:1, o:172, a:1, s:1, b:0),
% 1.03/1.41 'c_HOL_Oabs__class_Oabs' [66, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.03/1.41 'class_OrderedGroup_Opordered__ab__group__add__abs' [67, 1] (w:1, o:
% 1.03/1.41 76, a:1, s:1, b:0),
% 1.03/1.41 'class_OrderedGroup_Opordered__comm__monoid__add' [70, 1] (w:1, o:77
% 1.03/1.41 , a:1, s:1, b:0),
% 1.03/1.41 'class_OrderedGroup_Opordered__ab__group__add' [71, 1] (w:1, o:78, a:
% 1.03/1.41 1, s:1, b:0),
% 1.03/1.41 'c_Transcendental_Opi' [72, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.03/1.41 'c_NthRoot_Osqrt' [73, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.03/1.41 'tc_Complex_Ocomplex' [74, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.03/1.41 'c_RealVector_Onorm__class_Onorm' [75, 2] (w:1, o:162, a:1, s:1, b:0)
% 1.03/1.41 ,
% 1.03/1.41 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [76, 1]
% 1.03/1.41 (w:1, o:80, a:1, s:1, b:0),
% 1.03/1.41 'class_OrderedGroup_Ocomm__monoid__add' [77, 1] (w:1, o:81, a:1, s:1
% 1.03/1.41 , b:0),
% 1.03/1.41 'class_OrderedGroup_Olordered__ab__group__add' [79, 1] (w:1, o:82, a:
% 1.03/1.41 1, s:1, b:0),
% 1.03/1.41 'class_RealVector_Oreal__normed__vector' [80, 1] (w:1, o:83, a:1, s:1
% 1.03/1.41 , b:0),
% 1.03/1.41 'c_HOL_Oinverse__class_Oinverse' [81, 2] (w:1, o:163, a:1, s:1, b:0)
% 1.03/1.41 ,
% 1.03/1.41 'class_Orderings_Olinorder' [82, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.03/1.41 'class_Orderings_Opreorder' [83, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.03/1.41 'class_Ring__and__Field_Oordered__semiring__strict' [86, 1] (w:1, o:
% 1.03/1.41 87, a:1, s:1, b:0),
% 1.03/1.41 'c_Complex_Ocomplex_OComplex' [90, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.03/1.41 'class_Ring__and__Field_Oordered__idom' [93, 1] (w:1, o:88, a:1, s:1
% 1.03/1.41 , b:0),
% 1.03/1.41 'class_Lattices_Oboolean__algebra' [94, 1] (w:1, o:89, a:1, s:1, b:0)
% 1.03/1.41 ,
% 1.03/1.41 'class_OrderedGroup_Ogroup__add' [95, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.03/1.41
% 1.03/1.41 'class_Ring__and__Field_Oordered__semidom' [96, 1] (w:1, o:91, a:1
% 1.03/1.41 , s:1, b:0),
% 1.03/1.41 'c_Power_Opower__class_Opower' [97, 3] (w:1, o:173, a:1, s:1, b:0),
% 1.03/1.41 'class_Ring__and__Field_Oabs__if' [98, 1] (w:1, o:92, a:1, s:1, b:0)
% 1.03/1.41 ,
% 1.03/1.41 'class_OrderedGroup_Olordered__ab__group__add__abs' [99, 1] (w:1, o:
% 5.65/6.01 93, a:1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Oordered__semiring' [100, 1] (w:1, o:94, a:1
% 5.65/6.01 , s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Oordered__ring__strict' [101, 1] (w:1, o:86
% 5.65/6.01 , a:1, s:1, b:0),
% 5.65/6.01 'class_RealVector_Oreal__normed__field' [102, 1] (w:1, o:95, a:1, s:1
% 5.65/6.01 , b:0),
% 5.65/6.01 'class_Int_Onumber' [104, 1] (w:1, o:96, a:1, s:1, b:0),
% 5.65/6.01 'c_Int_Onumber__class_Onumber__of' [105, 2] (w:1, o:165, a:1, s:1, b:
% 5.65/6.01 0),
% 5.65/6.01 'class_OrderedGroup_Oab__group__add' [107, 1] (w:1, o:97, a:1, s:1
% 5.65/6.01 , b:0),
% 5.65/6.01 'class_Int_Onumber__ring' [110, 1] (w:1, o:98, a:1, s:1, b:0),
% 5.65/6.01 'c_Int_OPls' [111, 0] (w:1, o:50, a:1, s:1, b:0),
% 5.65/6.01 'c_Int_OBit1' [112, 1] (w:1, o:100, a:1, s:1, b:0),
% 5.65/6.01 'c_Int_OBit0' [113, 1] (w:1, o:99, a:1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Oordered__comm__semiring__strict' [114, 1]
% 5.65/6.01 (w:1, o:101, a:1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Omult__mono1' [115, 1] (w:1, o:103, a:1, s:1
% 5.65/6.01 , b:0),
% 5.65/6.01 'class_Ring__and__Field_Omult__mono' [116, 1] (w:1, o:104, a:1, s:1
% 5.65/6.01 , b:0),
% 5.65/6.01 'class_Ring__and__Field_Opordered__ring' [117, 1] (w:1, o:105, a:1
% 5.65/6.01 , s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Opordered__cancel__semiring' [118, 1] (w:1
% 5.65/6.01 , o:106, a:1, s:1, b:0),
% 5.65/6.01 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [119, 1]
% 5.65/6.01 (w:1, o:107, a:1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Oring' [120, 1] (w:1, o:108, a:1, s:1, b:0),
% 5.65/6.01
% 5.65/6.01 'class_Ring__and__Field_Oidom' [121, 1] (w:1, o:109, a:1, s:1, b:0),
% 5.65/6.01
% 5.65/6.01 'class_RealVector_Oreal__normed__algebra' [122, 1] (w:1, o:110, a:1
% 5.65/6.01 , s:1, b:0),
% 5.65/6.01 'class_OrderedGroup_Opordered__ab__semigroup__add' [124, 1] (w:1, o:
% 5.65/6.01 111, a:1, s:1, b:0),
% 5.65/6.01 'class_OrderedGroup_Omonoid__mult' [125, 1] (w:1, o:112, a:1, s:1, b:
% 5.65/6.01 0),
% 5.65/6.01 'class_Ring__and__Field_Ocomm__semiring__1' [126, 1] (w:1, o:72, a:1
% 5.65/6.01 , s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Odivision__ring' [129, 1] (w:1, o:113, a:1
% 5.65/6.01 , s:1, b:0),
% 5.65/6.01 'c_Complex_ORe' [131, 1] (w:1, o:114, a:1, s:1, b:0),
% 5.65/6.01 'c_Complex_OIm' [132, 1] (w:1, o:115, a:1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Ocomm__ring__1' [133, 1] (w:1, o:71, a:1, s:1
% 5.65/6.01 , b:0),
% 5.65/6.01 'class_Ring__and__Field_Opordered__semiring' [134, 1] (w:1, o:117, a:
% 5.65/6.01 1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Opordered__ring__abs' [136, 1] (w:1, o:116
% 5.65/6.01 , a:1, s:1, b:0),
% 5.65/6.01 'class_RealVector_Oreal__normed__algebra__1' [137, 1] (w:1, o:118, a:
% 5.65/6.01 1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Olordered__ring' [139, 1] (w:1, o:102, a:1
% 5.65/6.01 , s:1, b:0),
% 5.65/6.01 hAPP [141, 2] (w:1, o:166, a:1, s:1, b:0),
% 5.65/6.01 'v_z' [143, 0] (w:1, o:54, a:1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Oring__1__no__zero__divisors' [144, 1] (w:1
% 5.65/6.01 , o:119, a:1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Ozero__neq__one' [145, 1] (w:1, o:120, a:1
% 5.65/6.01 , s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Ono__zero__divisors' [146, 1] (w:1, o:68, a:1
% 5.65/6.01 , s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Omult__zero' [147, 1] (w:1, o:67, a:1, s:1
% 5.65/6.01 , b:0),
% 5.65/6.01 'class_Power_Opower' [148, 1] (w:1, o:128, a:1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Osemiring__1' [149, 1] (w:1, o:130, a:1, s:1
% 5.65/6.01 , b:0),
% 5.65/6.01 'class_OrderedGroup_Omonoid__add' [150, 1] (w:1, o:121, a:1, s:1, b:0
% 5.65/6.01 ),
% 5.65/6.01 'class_RealVector_Oreal__field' [151, 1] (w:1, o:131, a:1, s:1, b:0)
% 5.65/6.01 ,
% 5.65/6.01 'class_Ring__and__Field_Oring__no__zero__divisors' [154, 1] (w:1, o:
% 5.65/6.01 129, a:1, s:1, b:0),
% 5.65/6.01 'class_RealVector_Oreal__normed__div__algebra' [155, 1] (w:1, o:132
% 5.65/6.01 , a:1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Osemiring' [156, 1] (w:1, o:133, a:1, s:1, b:
% 5.65/6.01 0),
% 5.65/6.01 'v_b' [157, 0] (w:1, o:55, a:1, s:1, b:0),
% 5.65/6.01 'class_OrderedGroup_Ocancel__semigroup__add' [158, 1] (w:1, o:122, a:
% 5.65/6.01 1, s:1, b:0),
% 5.65/6.01 'class_OrderedGroup_Ocancel__ab__semigroup__add' [159, 1] (w:1, o:123
% 5.65/6.01 , a:1, s:1, b:0),
% 5.65/6.01 'class_Ring__and__Field_Ocomm__semiring' [160, 1] (w:1, o:73, a:1, s:
% 5.65/6.01 1, b:0),
% 5.65/6.01 'class_OrderedGroup_Oab__semigroup__mult' [168, 1] (w:1, o:124, a:1
% 5.65/6.01 , s:1, b:0),
% 5.65/6.01 'class_OrderedGroup_Ocomm__monoid__mult' [169, 1] (w:1, o:125, a:1
% 27.78/28.19 , s:1, b:0),
% 27.78/28.19 'class_OrderedGroup_Oab__semigroup__idem__mult' [170, 1] (w:1, o:126
% 27.78/28.19 , a:1, s:1, b:0),
% 27.78/28.19 'class_OrderedGroup_Oab__semigroup__add' [171, 1] (w:1, o:127, a:1
% 27.78/28.19 , s:1, b:0),
% 27.78/28.19 'class_Int_Oring__char__0' [172, 1] (w:1, o:134, a:1, s:1, b:0),
% 27.78/28.19 'tc_Int_Oint' [173, 0] (w:1, o:59, a:1, s:1, b:0).
% 27.78/28.19
% 27.78/28.19
% 27.78/28.19 Starting Search:
% 27.78/28.19
% 27.78/28.19 Resimplifying inuse:
% 27.78/28.19 Done
% 27.78/28.19
% 27.78/28.19
% 27.78/28.19 Intermediate Status:
% 27.78/28.19 Generated: 3028
% 27.78/28.19 Kept: 2001
% 27.78/28.19 Inuse: 158
% 27.78/28.19 Deleted: 0
% 27.78/28.19 Deletedinuse: 0
% 27.78/28.19
% 27.78/28.19 Resimplifying inuse:
% 27.78/28.19 Done
% 27.78/28.19
% 27.78/28.19 Resimplifying inuse:
% 27.78/28.19 Done
% 27.78/28.19
% 27.78/28.19
% 27.78/28.19 Intermediate Status:
% 27.78/28.19 Generated: 6452
% 27.78/28.19 Kept: 4196
% 27.78/28.19 Inuse: 256
% 27.78/28.19 Deleted: 0
% 27.78/28.19 Deletedinuse: 0
% 27.78/28.19
% 27.78/28.19 Resimplifying inuse:
% 27.78/28.19 Done
% 27.78/28.19
% 27.78/28.19
% 27.78/28.19 Intermediate Status:
% 27.78/28.19 Generated: 12006
% 27.78/28.19 Kept: 6278
% 27.78/28.19 Inuse: 291
% 27.78/28.19 Deleted: 0
% 27.78/28.19 Deletedinuse: 0
% 27.78/28.19
% 27.78/28.19 Resimplifying inuse:
% 27.78/28.19 Done
% 27.78/28.19
% 27.78/28.19 Resimplifying inuse:
% 27.78/28.19 Done
% 27.78/28.19
% 27.78/28.19
% 27.78/28.19 Intermediate Status:
% 27.78/28.19 Generated: 17276
% 27.78/28.19 Kept: 8288
% 27.78/28.19 Inuse: 345
% 27.78/28.19 Deleted: 0
% 27.78/28.19 Deletedinuse: 0
% 27.78/28.19
% 27.78/28.19 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 26892
% 27.78/28.20 Kept: 10877
% 27.78/28.20 Inuse: 361
% 27.78/28.20 Deleted: 0
% 27.78/28.20 Deletedinuse: 0
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 31819
% 27.78/28.20 Kept: 12882
% 27.78/28.20 Inuse: 377
% 27.78/28.20 Deleted: 0
% 27.78/28.20 Deletedinuse: 0
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 37147
% 27.78/28.20 Kept: 14883
% 27.78/28.20 Inuse: 423
% 27.78/28.20 Deleted: 0
% 27.78/28.20 Deletedinuse: 0
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 42691
% 27.78/28.20 Kept: 16952
% 27.78/28.20 Inuse: 461
% 27.78/28.20 Deleted: 0
% 27.78/28.20 Deletedinuse: 0
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 48653
% 27.78/28.20 Kept: 18959
% 27.78/28.20 Inuse: 502
% 27.78/28.20 Deleted: 0
% 27.78/28.20 Deletedinuse: 0
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying clauses:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 55767
% 27.78/28.20 Kept: 20975
% 27.78/28.20 Inuse: 542
% 27.78/28.20 Deleted: 294
% 27.78/28.20 Deletedinuse: 0
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 63932
% 27.78/28.20 Kept: 22979
% 27.78/28.20 Inuse: 595
% 27.78/28.20 Deleted: 294
% 27.78/28.20 Deletedinuse: 0
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 71876
% 27.78/28.20 Kept: 24998
% 27.78/28.20 Inuse: 639
% 27.78/28.20 Deleted: 296
% 27.78/28.20 Deletedinuse: 2
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 80376
% 27.78/28.20 Kept: 27011
% 27.78/28.20 Inuse: 677
% 27.78/28.20 Deleted: 296
% 27.78/28.20 Deletedinuse: 2
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 87646
% 27.78/28.20 Kept: 29118
% 27.78/28.20 Inuse: 721
% 27.78/28.20 Deleted: 296
% 27.78/28.20 Deletedinuse: 2
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 95767
% 27.78/28.20 Kept: 31130
% 27.78/28.20 Inuse: 767
% 27.78/28.20 Deleted: 296
% 27.78/28.20 Deletedinuse: 2
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 111301
% 27.78/28.20 Kept: 35491
% 27.78/28.20 Inuse: 797
% 27.78/28.20 Deleted: 298
% 27.78/28.20 Deletedinuse: 4
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 118298
% 27.78/28.20 Kept: 37577
% 27.78/28.20 Inuse: 826
% 27.78/28.20 Deleted: 298
% 27.78/28.20 Deletedinuse: 4
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 125999
% 27.78/28.20 Kept: 39618
% 27.78/28.20 Inuse: 866
% 27.78/28.20 Deleted: 298
% 27.78/28.20 Deletedinuse: 4
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying clauses:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 134295
% 27.78/28.20 Kept: 41627
% 27.78/28.20 Inuse: 901
% 27.78/28.20 Deleted: 1592
% 27.78/28.20 Deletedinuse: 10
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 141918
% 27.78/28.20 Kept: 43639
% 27.78/28.20 Inuse: 938
% 27.78/28.20 Deleted: 1592
% 27.78/28.20 Deletedinuse: 10
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 149216
% 27.78/28.20 Kept: 45657
% 27.78/28.20 Inuse: 968
% 27.78/28.20 Deleted: 1592
% 27.78/28.20 Deletedinuse: 10
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 27.78/28.20 Done
% 27.78/28.20
% 27.78/28.20
% 27.78/28.20 Intermediate Status:
% 27.78/28.20 Generated: 157217
% 27.78/28.20 Kept: 47664
% 27.78/28.20 Inuse: 1007
% 27.78/28.20 Deleted: 1595
% 27.78/28.20 Deletedinuse: 13
% 27.78/28.20
% 27.78/28.20 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 164325
% 75.69/76.07 Kept: 49786
% 75.69/76.07 Inuse: 1041
% 75.69/76.07 Deleted: 1595
% 75.69/76.07 Deletedinuse: 13
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 176983
% 75.69/76.07 Kept: 53056
% 75.69/76.07 Inuse: 1055
% 75.69/76.07 Deleted: 1599
% 75.69/76.07 Deletedinuse: 13
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 192239
% 75.69/76.07 Kept: 55534
% 75.69/76.07 Inuse: 1067
% 75.69/76.07 Deleted: 1605
% 75.69/76.07 Deletedinuse: 19
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 199516
% 75.69/76.07 Kept: 57555
% 75.69/76.07 Inuse: 1101
% 75.69/76.07 Deleted: 1605
% 75.69/76.07 Deletedinuse: 19
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 206783
% 75.69/76.07 Kept: 59568
% 75.69/76.07 Inuse: 1133
% 75.69/76.07 Deleted: 1605
% 75.69/76.07 Deletedinuse: 19
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying clauses:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 221529
% 75.69/76.07 Kept: 61859
% 75.69/76.07 Inuse: 1151
% 75.69/76.07 Deleted: 2482
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 229239
% 75.69/76.07 Kept: 64007
% 75.69/76.07 Inuse: 1185
% 75.69/76.07 Deleted: 2513
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 240197
% 75.69/76.07 Kept: 66575
% 75.69/76.07 Inuse: 1215
% 75.69/76.07 Deleted: 2513
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 250756
% 75.69/76.07 Kept: 68897
% 75.69/76.07 Inuse: 1225
% 75.69/76.07 Deleted: 2513
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 260058
% 75.69/76.07 Kept: 71039
% 75.69/76.07 Inuse: 1240
% 75.69/76.07 Deleted: 2513
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 266853
% 75.69/76.07 Kept: 73043
% 75.69/76.07 Inuse: 1260
% 75.69/76.07 Deleted: 2513
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 273613
% 75.69/76.07 Kept: 75057
% 75.69/76.07 Inuse: 1280
% 75.69/76.07 Deleted: 2513
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 282211
% 75.69/76.07 Kept: 77065
% 75.69/76.07 Inuse: 1306
% 75.69/76.07 Deleted: 2513
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 301091
% 75.69/76.07 Kept: 82929
% 75.69/76.07 Inuse: 1324
% 75.69/76.07 Deleted: 2513
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying clauses:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 310676
% 75.69/76.07 Kept: 84940
% 75.69/76.07 Inuse: 1341
% 75.69/76.07 Deleted: 3020
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 320833
% 75.69/76.07 Kept: 87068
% 75.69/76.07 Inuse: 1365
% 75.69/76.07 Deleted: 3020
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 329243
% 75.69/76.07 Kept: 89220
% 75.69/76.07 Inuse: 1390
% 75.69/76.07 Deleted: 3020
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 336896
% 75.69/76.07 Kept: 91242
% 75.69/76.07 Inuse: 1418
% 75.69/76.07 Deleted: 3020
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 349361
% 75.69/76.07 Kept: 93664
% 75.69/76.07 Inuse: 1435
% 75.69/76.07 Deleted: 3020
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 360196
% 75.69/76.07 Kept: 95771
% 75.69/76.07 Inuse: 1450
% 75.69/76.07 Deleted: 3020
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 367271
% 75.69/76.07 Kept: 97783
% 75.69/76.07 Inuse: 1476
% 75.69/76.07 Deleted: 3020
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 377385
% 75.69/76.07 Kept: 100117
% 75.69/76.07 Inuse: 1495
% 75.69/76.07 Deleted: 3020
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 386711
% 75.69/76.07 Kept: 102121
% 75.69/76.07 Inuse: 1512
% 75.69/76.07 Deleted: 3020
% 75.69/76.07 Deletedinuse: 22
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying clauses:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07 Resimplifying inuse:
% 75.69/76.07 Done
% 75.69/76.07
% 75.69/76.07
% 75.69/76.07 Intermediate Status:
% 75.69/76.07 Generated: 394374
% 75.69/76.07 Kept: 104272
% 75.69/76.07 Inuse: 1540
% 75.69/76.07 Deleted: 3434
% 75.69/76.07 Deletedinuse: 22
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.62
% 152.23/152.62
% 152.23/152.62 Intermediate Status:
% 152.23/152.62 Generated: 403151
% 152.23/152.62 Kept: 106283
% 152.23/152.62 Inuse: 1552
% 152.23/152.62 Deleted: 3434
% 152.23/152.62 Deletedinuse: 22
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.62
% 152.23/152.62
% 152.23/152.62 Intermediate Status:
% 152.23/152.62 Generated: 410778
% 152.23/152.62 Kept: 108347
% 152.23/152.62 Inuse: 1575
% 152.23/152.62 Deleted: 3434
% 152.23/152.62 Deletedinuse: 22
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.62
% 152.23/152.62
% 152.23/152.62 Intermediate Status:
% 152.23/152.62 Generated: 417225
% 152.23/152.62 Kept: 111163
% 152.23/152.62 Inuse: 1578
% 152.23/152.62 Deleted: 3434
% 152.23/152.62 Deletedinuse: 22
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.62
% 152.23/152.62
% 152.23/152.62 Intermediate Status:
% 152.23/152.62 Generated: 425450
% 152.23/152.62 Kept: 113172
% 152.23/152.62 Inuse: 1599
% 152.23/152.62 Deleted: 3434
% 152.23/152.62 Deletedinuse: 22
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.62
% 152.23/152.62
% 152.23/152.62 Intermediate Status:
% 152.23/152.62 Generated: 439728
% 152.23/152.62 Kept: 116258
% 152.23/152.62 Inuse: 1620
% 152.23/152.62 Deleted: 3434
% 152.23/152.62 Deletedinuse: 22
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.62
% 152.23/152.62
% 152.23/152.62 Intermediate Status:
% 152.23/152.62 Generated: 450130
% 152.23/152.62 Kept: 118661
% 152.23/152.62 Inuse: 1645
% 152.23/152.62 Deleted: 3434
% 152.23/152.62 Deletedinuse: 22
% 152.23/152.62
% 152.23/152.62 Resimplifying inuse:
% 152.23/152.62 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 458395
% 152.23/152.63 Kept: 120679
% 152.23/152.63 Inuse: 1666
% 152.23/152.63 Deleted: 3434
% 152.23/152.63 Deletedinuse: 22
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 465114
% 152.23/152.63 Kept: 122693
% 152.23/152.63 Inuse: 1686
% 152.23/152.63 Deleted: 3434
% 152.23/152.63 Deletedinuse: 22
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying clauses:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 472471
% 152.23/152.63 Kept: 124708
% 152.23/152.63 Inuse: 1707
% 152.23/152.63 Deleted: 4015
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 481978
% 152.23/152.63 Kept: 126727
% 152.23/152.63 Inuse: 1728
% 152.23/152.63 Deleted: 4015
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 492961
% 152.23/152.63 Kept: 129083
% 152.23/152.63 Inuse: 1740
% 152.23/152.63 Deleted: 4015
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 500771
% 152.23/152.63 Kept: 131216
% 152.23/152.63 Inuse: 1765
% 152.23/152.63 Deleted: 4015
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 510501
% 152.23/152.63 Kept: 133223
% 152.23/152.63 Inuse: 1773
% 152.23/152.63 Deleted: 4015
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 520467
% 152.23/152.63 Kept: 135470
% 152.23/152.63 Inuse: 1780
% 152.23/152.63 Deleted: 4015
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 529785
% 152.23/152.63 Kept: 137650
% 152.23/152.63 Inuse: 1805
% 152.23/152.63 Deleted: 4015
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 539229
% 152.23/152.63 Kept: 141058
% 152.23/152.63 Inuse: 1814
% 152.23/152.63 Deleted: 4015
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 555724
% 152.23/152.63 Kept: 144130
% 152.23/152.63 Inuse: 1820
% 152.23/152.63 Deleted: 4015
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying clauses:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 569080
% 152.23/152.63 Kept: 146535
% 152.23/152.63 Inuse: 1835
% 152.23/152.63 Deleted: 4514
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 597276
% 152.23/152.63 Kept: 150956
% 152.23/152.63 Inuse: 1855
% 152.23/152.63 Deleted: 4514
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 610090
% 152.23/152.63 Kept: 153418
% 152.23/152.63 Inuse: 1865
% 152.23/152.63 Deleted: 4514
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 637514
% 152.23/152.63 Kept: 157279
% 152.23/152.63 Inuse: 1875
% 152.23/152.63 Deleted: 4514
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 647538
% 152.23/152.63 Kept: 159698
% 152.23/152.63 Inuse: 1900
% 152.23/152.63 Deleted: 4514
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 675349
% 152.23/152.63 Kept: 163330
% 152.23/152.63 Inuse: 1920
% 152.23/152.63 Deleted: 4514
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 Intermediate Status:
% 152.23/152.63 Generated: 686053
% 152.23/152.63 Kept: 165393
% 152.23/152.63 Inuse: 1925
% 152.23/152.63 Deleted: 4514
% 152.23/152.63 Deletedinuse: 26
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying clauses:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63 Resimplifying inuse:
% 152.23/152.63 Done
% 152.23/152.63
% 152.23/152.63
% 152.23/152.63 IntermediatCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------