TSTP Solution File: ALG360-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG360-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 12:10:30 EDT 2022
% Result : Timeout 300.03s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG360-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.09 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % DateTime : Thu Jun 9 06:56:37 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.86/1.28 *** allocated 10000 integers for termspace/termends
% 0.86/1.28 *** allocated 10000 integers for clauses
% 0.86/1.28 *** allocated 10000 integers for justifications
% 0.86/1.28 *** allocated 15000 integers for termspace/termends
% 0.86/1.28 *** allocated 22500 integers for termspace/termends
% 0.86/1.28 *** allocated 33750 integers for termspace/termends
% 0.86/1.28 Bliksem 1.12
% 0.86/1.28
% 0.86/1.28
% 0.86/1.28 Automatic Strategy Selection
% 0.86/1.28
% 0.86/1.28 Clauses:
% 0.86/1.28 [
% 0.86/1.28 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.86/1.28 , 'c_NthRoot_Oroot'( Y, X ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.86/1.28 ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.86/1.28 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.86/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.86/1.28 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.28 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.86/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Ocomplex_OComplex'( X, Y )
% 0.86/1.28 , 'c_Complex_Oii', 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ) ) ],
% 0.86/1.28 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_nat' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.86/1.28 ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.86/1.28 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.86/1.28 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.86/1.28 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.86/1.28 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 0.86/1.28 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_NthRoot_Oroot'( Y, X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.86/1.28 , 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ),
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.28 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.28 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.86/1.28 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.28 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.28 , X ) ) ), =( Y, Z ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.28 , X ) ) ), =( Y, Z ) ],
% 0.86/1.28 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.28 'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( X, Z ), 'tc_RealDef_Oreal'
% 0.86/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.28 ), X, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.86/1.28 ],
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.86/1.28 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.86/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.86/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.86/1.28 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 0.86/1.28 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.86/1.28 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.28 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.28 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.28 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.28 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.86/1.28 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.28 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.28 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.28 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.86/1.28 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.86/1.28 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.86/1.28 [ ~( =( 'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( X, Z ) ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ), =( Y, Z ) ],
% 0.86/1.28 [ =( 'c_Complex_ORe'( 'c_HOL_Osgn__class_Osgn'( X, 'tc_Complex_Ocomplex'
% 0.86/1.28 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_Complex_ORe'( X ),
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.86/1.28 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'(
% 0.86/1.28 Z, 'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.28 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.28 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.28 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.28 Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.28 X, 'tc_nat' ) ), =( 'c_NthRoot_Oroot'( X, 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.86/1.28 ],
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 0.86/1.28 ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.86/1.28 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Oabs__class_Oabs'( Y,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( 'c_NthRoot_Oroot'( X, Y
% 0.86/1.28 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.86/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.86/1.28 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.86/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.28 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.86/1.28 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( 'c_Suc'( X ), 'c_Power_Opower__class_Opower'( Y
% 0.86/1.28 , 'c_Suc'( X ), 'tc_RealDef_Oreal' ) ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.86/1.28 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.86/1.28 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), Y, 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ =( 'c_Complex_ORe'( 'c_Complex_Oii' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.28 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( X
% 0.86/1.28 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.86/1.28 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.86/1.28 [ ~( =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.28 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.28 , X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.28 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Oroot'( Y, X ),
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.86/1.28 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 0.86/1.28 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.86/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.86/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( Z, Y ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.86/1.28 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.86/1.28 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Oroot'( X, Y ), X,
% 0.86/1.28 'tc_RealDef_Oreal' ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.28 , X, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( Z, Y ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.28 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.28 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.86/1.28 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.28 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.28 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.86/1.28 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.86/1.28 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.86/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.86/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.28 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.28 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.28 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.86/1.28 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.86/1.28 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.28 , X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.86/1.28 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.86/1.28 , X ), Z, X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.28 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.86/1.28 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.86/1.28 ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.86/1.28 ), X ), Y ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.86/1.28 , 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.86/1.28 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X
% 0.86/1.28 , 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), =(
% 0.86/1.28 'c_NthRoot_Oroot'( Y, 'c_Power_Opower__class_Opower'( X, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), X ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_Power_Opower__class_Opower'( Y, X,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), Y ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.28 , X, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.86/1.28 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.28 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.28 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.86/1.28 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.28 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.86/1.28 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.28 [ =( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ),
% 0.86/1.28 'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.28 , T, X ) ) ), =( Z, T ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.28 , T, X ) ) ), =( Y, Z ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.28 X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.86/1.28 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.28 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.28 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Oii',
% 0.86/1.28 'c_Complex_Ocomplex_OComplex'( X, Y ), 'tc_Complex_Ocomplex' ),
% 0.86/1.28 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.86/1.28 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.86/1.28 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.28 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.86/1.28 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.28 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.86/1.28 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ), =( Y, Z ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ), =( Y, Z ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.28 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.86/1.28 ],
% 0.86/1.28 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.86/1.28 ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.86/1.28 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.86/1.28 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Oroot'(
% 0.86/1.28 X, Y ), 'c_NthRoot_Oroot'( X, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Oroot'(
% 0.86/1.28 X, Y ), 'c_NthRoot_Oroot'( X, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.86/1.28 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 0.86/1.28 'c_Complex_Oii' ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.86/1.28 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.86/1.28 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.86/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.28 ), 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.28 ), 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ),
% 0.86/1.28 'c_NthRoot_Oroot'( Z, Y ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.86/1.28 , Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat'
% 0.86/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.28 ), Z, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ) ) ],
% 0.86/1.28 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_Power_Opower__class_Opower'( Y, Z,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Oroot'(
% 0.86/1.28 X, Y ), Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Oroot'(
% 0.86/1.28 X, Y ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.28 [ =( 'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_RealVector_Oof__real'( X,
% 0.86/1.28 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.28 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.86/1.28 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.86/1.28 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.86/1.28 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.86/1.28 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ =( 'c_Complex_Oii', 'c_Complex_Ocomplex_OComplex'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.86/1.28 ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ) ) ],
% 0.86/1.28 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.86/1.28 'c_Complex_Ocomplex_OComplex'( Z, T ), 'tc_Complex_Ocomplex' ),
% 0.86/1.28 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oplus__class_Oplus'( X, Z,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 0.86/1.28 X ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 0.86/1.28 X ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_NthRoot_Oroot'( Y, Z ) ),
% 0.86/1.28 'c_NthRoot_Oroot'( Y, 'c_NthRoot_Oroot'( X, Z ) ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.28 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.86/1.28 , 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Oroot'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.86/1.28 , 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.86/1.28 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.86/1.28 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.28 [ =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_nat' ) ) ), 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( X,
% 0.86/1.28 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_nat' ) ) ), 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( X,
% 0.86/1.28 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.28 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.86/1.28 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.86/1.28 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.28 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.86/1.28 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.28 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.28 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.28 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.28 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.28 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.28 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.86/1.28 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.86/1.28 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.86/1.28 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.86/1.28 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.86/1.28 ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.86/1.28 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 Z, X ) ) ],
% 0.86/1.28 [ ~( =( 'c_Power_Opower__class_Opower'( X, 'c_Suc'( 'c_Suc'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( 'c_Suc'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_RealDef_Oreal' ) ) ), =(
% 0.86/1.28 X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ) ), =( X, Y ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Oroot'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.28 ), X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.28 , X, 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Oroot'( Y, X ), 'tc_RealDef_Oreal' ) ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.28 , X, 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( Z, X ), 'c_NthRoot_Oroot'(
% 0.86/1.28 Z, Y ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ),
% 0.86/1.28 'c_NthRoot_Oroot'( X, Z ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_Power_Opower__class_Opower'( X, 'c_Suc'( Y ),
% 0.86/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 0.86/1.28 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.86/1.28 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.86/1.28 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.86/1.28 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.28 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_NthRoot_Oroot'( Z, X ), 'c_NthRoot_Oroot'( Z, Y ), 'tc_RealDef_Oreal'
% 0.86/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.28 ), Z, 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( X, Z ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ),
% 0.86/1.28 'c_NthRoot_Oroot'( X, Z ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.28 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_NthRoot_Oroot'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.86/1.28 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.86/1.28 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.28 X, 'tc_nat' ) ), =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.86/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.86/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.86/1.28 [ =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Oroot'( X, Y ), X,
% 0.86/1.28 'tc_RealDef_Oreal' ), Y ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.28 ), Y ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.28 ), Y ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.28 ), Y ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.28 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.86/1.28 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.86/1.28 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Oii',
% 0.86/1.28 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ),
% 0.86/1.28 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ) ) ],
% 0.86/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( X,
% 0.86/1.28 'tc_Complex_Ocomplex' ), 'c_Complex_Oii', 'tc_Complex_Ocomplex' ),
% 0.86/1.28 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.28 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.28 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.28 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.28 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.28 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.86/1.28 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.28 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.28 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.28 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.28 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.28 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Z, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.28 , X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.28 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.86/1.28 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.28 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.28 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.28 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.28 , T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.28 , T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.28 , T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.86/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ), T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.86/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.28 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.86/1.28 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), 'c_NthRoot_Oroot'( Y, X ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( Y
% 0.86/1.28 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.86/1.28 ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.86/1.28 ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.28 ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.86/1.28 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.28 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.86/1.28 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.28 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.28 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.86/1.28 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.86/1.28 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.86/1.28 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 0.86/1.28 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.28 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), =( Y,
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.28 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.86/1.28 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.86/1.28 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.86/1.28 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.86/1.28 , 'tc_nat' ) ) ],
% 0.86/1.28 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 0.86/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Oroot'( Y, X ), 'tc_RealDef_Oreal' ) ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.28 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 0.86/1.28 ) ],
% 0.86/1.28 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.86/1.28 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.28 X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ =( 'c_Complex_ORe'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.86/1.28 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_ORe'( X
% 0.86/1.28 ), 'c_Complex_ORe'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.86/1.28 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.86/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.28 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.28 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.86/1.28 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ =( 'c_Complex_ORe'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), X ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.28 'c_Power_Opower__class_Opower'( X, 'c_Suc'( Z ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), 'tc_RealDef_Oreal' ),
% 0.86/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 Y, X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.86/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.86/1.28 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.86/1.28 'tc_RealDef_Oreal' ) ],
% 0.86/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ),
% 0.86/1.28 'c_NthRoot_Oroot'( Z, Y ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'(
% 0.86/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.28 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.86/1.28 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( =( 'v_na____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.86/1.28 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.86/1.28 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.86/1.28 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.86/1.28 , Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.86/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.86/1.28 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.86/1.28 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.86/1.28 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.86/1.28 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.86/1.28 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.86/1.28 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.86/1.28 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 Y, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.86/1.28 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.86/1.28 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.86/1.28 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.86/1.28 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.86/1.28 , X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.86/1.28 , X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.28 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.28 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.28 , Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.28 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.28 , Y, X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.28 , Z, X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.28 , Z, X ), X ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.86/1.28 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.86/1.28 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.86/1.28 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.86/1.28 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.28 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.28 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.28 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.86/1.28 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.86/1.28 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.86/1.28 , X ), W, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.86/1.28 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.86/1.28 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.86/1.28 , X ), T, X ), W, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.86/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.86/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.86/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.86/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.86/1.28 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.86/1.28 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.86/1.28 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.28 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.86/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.28 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.86/1.28 X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.28 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.86/1.28 ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.28 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.86/1.28 ), Y ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.28 , U, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.28 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.28 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.28 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.28 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.86/1.28 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.28 , Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.86/1.28 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ), T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.86/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.28 , T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.28 , T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.28 , Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.86/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.28 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.28 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.28 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.86/1.28 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.86/1.28 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.86/1.28 , X ), W, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.28 ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.86/1.28 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.86/1.28 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.86/1.28 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.28 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.28 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.28 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.28 Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.28 ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.28 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.28 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.28 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.86/1.28 , X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.28 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.28 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.28 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.28 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.86/1.28 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.28 Z, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.28 ],
% 0.86/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.86/1.28 ), Y ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.86/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.86/1.28 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.86/1.28 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.86/1.28 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.28 X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.28 , X ), X ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.28 Z, T, X ), X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.86/1.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.86/1.28 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.28 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.28 ,
% 0.86/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.86/1.29 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.86/1.29 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.86/1.29 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.29 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.86/1.29 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.29 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.29 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.86/1.29 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.86/1.29 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.86/1.29 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.86/1.29 X ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.86/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.86/1.29 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.29 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.29 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.29 ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.86/1.29 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.29 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.29 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.29 Y, X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.86/1.29 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.29 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.29 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.86/1.29 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.86/1.29 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.86/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.86/1.29 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.29 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.29 Y, X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.29 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.86/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.86/1.29 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.86/1.29 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.86/1.29 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.29 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 Y, Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.86/1.29 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.86/1.29 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.86/1.29 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.86/1.29 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.86/1.29 , 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.86/1.29 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.86/1.29 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.86/1.29 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.86/1.29 ) ],
% 0.86/1.29 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.86/1.29 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.86/1.29 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.86/1.29 ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.86/1.29 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.86/1.29 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.29 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.86/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.29 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.86/1.29 ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.86/1.29 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.86/1.29 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.86/1.29 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.86/1.29 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.86/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.29 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 0.86/1.29 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.86/1.29 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 0.86/1.29 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.86/1.29 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 0.86/1.29 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.86/1.29 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.86/1.29 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.86/1.29 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.29 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.29 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.86/1.29 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.29 Z, Y, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.86/1.29 'c_RealVector_Oof__real'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 0.86/1.29 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.29 [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 0.86/1.29 ) ],
% 0.86/1.29 [ =( 'c_Complex_ORe'( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex'
% 0.86/1.29 ) ), X ) ],
% 0.86/1.29 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'(
% 0.86/1.29 Z, 'tc_Complex_Ocomplex' ) ) ), =( X, Z ) ],
% 0.86/1.29 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.86/1.29 'c_RealVector_Oof__real'( Z, 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ), Y ) ) ],
% 0.86/1.29 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( X,
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'( Y, Z ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), Z ) ) ],
% 0.86/1.29 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.86/1.29 ) ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.29 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.86/1.29 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.86/1.29 ) ],
% 0.86/1.29 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.29 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.86/1.29 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.86/1.29 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.86/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.86/1.29 , X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.29 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.29 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.29 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.29 ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.86/1.29 ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.29 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.86/1.29 , X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.86/1.29 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.86/1.29 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.86/1.29 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.86/1.29 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.86/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.86/1.29 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.86/1.29 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.86/1.29 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.86/1.29 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.86/1.29 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.86/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.86/1.29 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.86/1.29 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.86/1.29 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.86/1.29 'tc_RealDef_Oreal' ), X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.29 'c_RealVector_Oof__real'( Y, X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.86/1.29 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.86/1.29 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.86/1.29 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ =( 'c_Complex_ORe'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.86/1.29 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ =( 'c_Complex_Oexpi'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.86/1.29 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 'c_Complex_Oexpi'( X ), 'c_Complex_Oexpi'( Y ), 'tc_Complex_Ocomplex' ) )
% 0.86/1.29 ],
% 0.86/1.29 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ =( 'c_Power_Opower__class_Opower'( 'c_RealVector_Oof__real'( X,
% 0.86/1.29 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.29 [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oinverse__class_Oinverse'( Y,
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.29 [ ~( =( 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 'c_HOL_Ominus__class_Ominus'( X, 'c_Complex_Oii', 'tc_Complex_Ocomplex' )
% 0.86/1.29 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.86/1.29 , 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.86/1.29 'c_Complex_Oii', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.86/1.29 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.86/1.29 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.29 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.86/1.29 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.86/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.86/1.29 W, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.86/1.29 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.86/1.29 , X ), T, X ), W, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.86/1.29 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.86/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.86/1.29 W, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.86/1.29 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.86/1.29 , X ), W, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.86/1.29 X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.86/1.29 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.86/1.29 Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.86/1.29 Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.86/1.29 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.29 X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.86/1.29 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.29 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.29 X ), T, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.86/1.29 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.86/1.29 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.86/1.29 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.29 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 Y, T, X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.29 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 Y, T, X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.29 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.86/1.29 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.86/1.29 , Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.86/1.29 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.29 , Z, X ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.86/1.29 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.86/1.29 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.29 , Z, X ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.86/1.29 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.29 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.86/1.29 ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.29 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.86/1.29 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.86/1.29 ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.29 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.29 , T, X ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.29 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.29 , T, X ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.29 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.29 Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.29 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.29 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 X ), T, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.29 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 X ), T, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.29 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.29 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.86/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.29 ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.29 ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.29 ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.86/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.86/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.86/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.86/1.29 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.86/1.29 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.86/1.29 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.86/1.29 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( X,
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'( Y, Z ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 0.86/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Ocomplex_OComplex'( X, Y )
% 0.86/1.29 , 'c_RealVector_Oof__real'( Z, 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'( 'v_b',
% 0.86/1.29 'c_Power_Opower__class_Opower'( 'v_sko__local__XIH__1'( 'v_b', X ), X,
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.86/1.29 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.86/1.29 , 'tc_RealDef_Oreal' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.86/1.29 ~( 'c_HOL_Oord__class_Oless'( X, 'v_na____', 'tc_nat' ) ) ],
% 0.86/1.29 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( X, 'c_RealVector_Oof__real'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.86/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'v_v____', 'c_RealVector_Oof__real'( 'c_NthRoot_Oroot'( 'v_na____',
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ) ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_na____',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_Power_Opower__class_Opower'( 'v_v____', 'v_na____',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_RealVector_Oof__real'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.29 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.86/1.29 X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.29 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 Y, T, X ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 Y, T, X ) ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.29 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 Z, T, X ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.29 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 Z, T, X ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.29 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.86/1.29 X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.86/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.29 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.86/1.29 ), Y, X ) ), =( Z, T ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.29 , Y, X ) ) ],
% 0.86/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.86/1.29 , X ) ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.29 , Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.86/1.29 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.86/1.29 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.29 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.29 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.29 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.29 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.29 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.86/1.29 Y, Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.86/1.29 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.86/1.29 X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.86/1.29 X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.86/1.29 X ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.86/1.29 X ) ) ), =( Y, T ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.86/1.29 X ) ) ), =( Z, T ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.86/1.29 X ) ) ), =( Z, T ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.29 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.86/1.29 ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.86/1.29 X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.86/1.29 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.86/1.29 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.86/1.29 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.86/1.29 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.86/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.29 X ), T, X ) ) ],
% 0.86/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.86/1.29 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.86/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.29 T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.86/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.29 X ), T, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.29 T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.29 X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.29 T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.86/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.86/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.29 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.29 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.86/1.29 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.29 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.29 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.29 , Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.29 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.86/1.29 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.29 ), =( Z, Y ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.29 ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.29 ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.29 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.29 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.29 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.29 , Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.29 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.29 Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.86/1.29 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.86/1.29 =( Y, Z ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.86/1.29 ],
% 0.86/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.86/1.29 ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.86/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.29 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.29 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.29 , Y, X ) ) ],
% 0.86/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.29 , Y, X ) ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.86/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.29 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.29 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.29 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.29 ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_Power_Opower__class_Opower'( 'v_v____',
% 0.86/1.29 'v_na____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.86/1.29 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.29 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 Y, T, X ), Z, X ) ) ],
% 0.86/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.86/1.29 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.86/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.86/1.29 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.86/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.86/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_Power_Opower__class_Opower'( 'v_v____',
% 0.86/1.29 'v_na____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ ~( =( 'v_b', 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'v_b', 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.86/1.29 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.29 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'( 'v_b',
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'(
% 0.86/1.29 'v_v____', 'v_na____', 'tc_Complex_Ocomplex' ), 'c_RealVector_Oof__real'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.86/1.29 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.86/1.29 ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'(
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'v_b', 'tc_Complex_Ocomplex' ),
% 0.86/1.29 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.86/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.29 ],
% 0.86/1.29 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.86/1.29 ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.86/1.29 ],
% 0.86/1.29 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.86/1.29 ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.86/1.29 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.86/1.29 ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.86/1.29 ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.86/1.29 ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.86/1.29 ],
% 0.86/1.29 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.29 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.86/1.29 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.86/1.29 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.86/1.29 ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.86/1.29 ],
% 0.86/1.29 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.86/1.29 ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.86/1.29 ],
% 0.86/1.29 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.86/1.29 ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ,
% 0.86/1.29 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.29 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.29 ] .
% 0.86/1.29
% 0.86/1.29
% 0.86/1.29 percentage equality = 0.201725, percentage horn = 0.862352
% 0.86/1.29 This is a problem with some equality
% 0.86/1.29
% 0.86/1.29
% 0.86/1.29
% 0.86/1.29 Options Used:
% 0.86/1.29
% 0.86/1.29 useres = 1
% 0.86/1.29 useparamod = 1
% 0.86/1.29 useeqrefl = 1
% 0.86/1.29 useeqfact = 1
% 0.86/1.29 usefactor = 1
% 0.86/1.29 usesimpsplitting = 0
% 0.86/1.29 usesimpdemod = 5
% 0.86/1.29 usesimpres = 3
% 0.86/1.29
% 0.86/1.29 resimpinuse = 1000
% 0.86/1.29 resimpclauses = 20000
% 0.86/1.29 substype = eqrewr
% 0.86/1.29 backwardsubs = 1
% 0.86/1.29 selectoldest = 5
% 0.86/1.29
% 0.86/1.29 litorderings [0] = split
% 0.86/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.29
% 0.86/1.29 termordering = kbo
% 0.86/1.29
% 0.86/1.29 litapriori = 0
% 0.86/1.29 termapriori = 1
% 0.86/1.29 litaposteriori = 0
% 0.86/1.29 termaposteriori = 0
% 0.86/1.29 demodaposteriori = 0
% 0.86/1.29 ordereqreflfact = 0
% 0.86/1.29
% 0.86/1.29 litselect = negord
% 0.86/1.29
% 0.86/1.29 maxweight = 15
% 0.86/1.29 maxdepth = 30000
% 0.86/1.29 maxlength = 115
% 0.86/1.29 maxnrvars = 195
% 0.86/1.29 excuselevel = 1
% 0.86/1.29 increasemaxweight = 1
% 0.86/1.29
% 0.86/1.29 maxselected = 10000000
% 0.86/1.29 maxnrclauses = 10000000
% 0.86/1.29
% 0.86/1.29 showgenerated = 0
% 0.86/1.29 showkept = 0
% 0.86/1.29 showselected = 0
% 0.86/1.29 showdeleted = 0
% 0.86/1.29 showresimp = 1
% 0.86/1.29 showstatus = 2000
% 0.86/1.29
% 0.86/1.29 prologoutput = 1
% 0.86/1.29 nrgoals = 5000000
% 0.86/1.29 totalproof = 1
% 0.86/1.29
% 0.86/1.29 Symbols occurring in the translation:
% 0.86/1.29
% 0.86/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.29 . [1, 2] (w:1, o:142, a:1, s:1, b:0),
% 0.86/1.29 ! [4, 1] (w:0, o:62, a:1, s:1, b:0),
% 0.86/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.29 'c_NthRoot_Osqrt' [40, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.86/1.29 'tc_RealDef_Oreal' [42, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.86/1.29 'c_HOL_Oone__class_Oone' [43, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.86/1.29 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:176, a:1, s:1, b:0),
% 0.86/1.29 'c_NthRoot_Oroot' [46, 2] (w:1, o:167, a:1, s:1, b:0),
% 0.86/1.29 'tc_nat' [47, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.86/1.29 'c_HOL_Ozero__class_Ozero' [48, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.86/1.29 'c_lessequals' [49, 3] (w:1, o:177, a:1, s:1, b:0),
% 0.86/1.29 'class_OrderedGroup_Opordered__ab__group__add__abs' [51, 1] (w:1, o:
% 0.86/1.29 71, a:1, s:1, b:0),
% 0.86/1.29 'c_HOL_Ouminus__class_Ouminus' [53, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.86/1.29 'c_HOL_Oabs__class_Oabs' [55, 2] (w:1, o:169, a:1, s:1, b:0),
% 0.86/1.29 'class_Ring__and__Field_Oordered__ring__strict' [57, 1] (w:1, o:77
% 0.86/1.29 , a:1, s:1, b:0),
% 0.86/1.29 'c_HOL_Otimes__class_Otimes' [58, 3] (w:1, o:178, a:1, s:1, b:0),
% 0.86/1.29 'class_Ring__and__Field_Oordered__idom' [59, 1] (w:1, o:78, a:1, s:1
% 0.86/1.29 , b:0),
% 0.86/1.29 'class_Ring__and__Field_Osemiring__0' [60, 1] (w:1, o:83, a:1, s:1
% 0.86/1.29 , b:0),
% 0.86/1.29 'class_Power_Opower' [61, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.86/1.29 'c_Power_Opower__class_Opower' [62, 3] (w:1, o:179, a:1, s:1, b:0),
% 0.86/1.29 'class_Ring__and__Field_Ozero__neq__one' [63, 1] (w:1, o:106, a:1, s:
% 0.86/1.29 1, b:0),
% 0.86/1.29 'class_Ring__and__Field_Ono__zero__divisors' [64, 1] (w:1, o:76, a:1
% 0.86/1.29 , s:1, b:0),
% 0.86/1.29 'class_Ring__and__Field_Omult__zero' [65, 1] (w:1, o:73, a:1, s:1, b:
% 0.86/1.29 0),
% 0.86/1.29 'c_Complex_Ocomplex_OComplex' [66, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.86/1.29 'c_Complex_Oii' [67, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.86/1.29 'tc_Complex_Ocomplex' [68, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.86/1.29 'class_OrderedGroup_Opordered__ab__group__add' [70, 1] (w:1, o:84, a:
% 0.86/1.29 1, s:1, b:0),
% 0.86/1.29 'class_OrderedGroup_Olordered__ab__group__add' [71, 1] (w:1, o:85, a:
% 0.86/1.29 1, s:1, b:0),
% 0.86/1.29 'c_HOL_Oplus__class_Oplus' [72, 3] (w:1, o:180, a:1, s:1, b:0),
% 0.86/1.29 'class_RealVector_Oreal__normed__vector' [73, 1] (w:1, o:107, a:1, s:
% 0.86/1.29 1, b:0),
% 0.86/1.29 'c_HOL_Osgn__class_Osgn' [74, 2] (w:1, o:171, a:1, s:1, b:0),
% 0.86/1.29 'class_Ring__and__Field_Opordered__ring__abs' [75, 1] (w:1, o:113, a:
% 0.86/1.29 1, s:1, b:0),
% 0.86/1.29 'c_Suc' [77, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.86/1.29 'class_Ring__and__Field_Oidom' [81, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.86/1.29 'c_Ring__and__Field_Odvd__class_Odvd' [82, 3] (w:1, o:181, a:1, s:1
% 0.86/1.29 , b:0),
% 0.86/1.29 'c_HOL_Ominus__class_Ominus' [83, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.86/1.29 'c_RealVector_Onorm__class_Onorm' [84, 2] (w:1, o:172, a:1, s:1, b:0)
% 0.86/1.29 ,
% 0.86/1.29 'class_Ring__and__Field_Ocomm__semiring__1' [85, 1] (w:1, o:118, a:1
% 0.86/1.29 , s:1, b:0),
% 0.86/1.29 'class_RealVector_Oreal__vector' [87, 1] (w:1, o:119, a:1, s:1, b:0)
% 0.86/1.29 ,
% 0.86/1.29 'c_RealVector_OscaleR__class_OscaleR' [88, 3] (w:1, o:183, a:1, s:1
% 0.86/1.29 , b:0),
% 0.86/1.29 'class_Orderings_Oorder' [90, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.86/1.29 'class_Lattices_Oboolean__algebra' [92, 1] (w:1, o:120, a:1, s:1, b:0
% 0.86/1.29 ),
% 0.86/1.29 'class_OrderedGroup_Ogroup__add' [93, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.86/1.29
% 0.86/1.29 'class_OrderedGroup_Olordered__ab__group__add__abs' [94, 1] (w:1, o:
% 0.86/1.29 88, a:1, s:1, b:0),
% 0.86/1.29 'c_HOL_Oinverse__class_Odivide' [95, 3] (w:1, o:184, a:1, s:1, b:0),
% 0.86/1.29
% 0.86/1.29 'class_RealVector_Oreal__normed__field' [96, 1] (w:1, o:121, a:1, s:1
% 0.86/1.29 , b:0),
% 0.86/1.29 'c_HOL_Oinverse__class_Oinverse' [97, 2] (w:1, o:173, a:1, s:1, b:0)
% 0.86/1.29 ,
% 0.86/1.29 'class_Ring__and__Field_Oordered__field' [99, 1] (w:1, o:108, a:1, s:
% 0.86/1.29 1, b:0),
% 0.86/1.29 'class_Ring__and__Field_Omult__mono1' [104, 1] (w:1, o:74, a:1, s:1
% 0.86/1.29 , b:0),
% 0.86/1.29 'class_Ring__and__Field_Omult__mono' [105, 1] (w:1, o:75, a:1, s:1
% 0.86/1.29 , b:0),
% 0.86/1.29 'class_Ring__and__Field_Opordered__ring' [106, 1] (w:1, o:122, a:1
% 0.86/1.29 , s:1, b:0),
% 0.86/1.29 'c_Complex_ORe' [107, 1] (w:1, o:123, a:1, s:1, b:0),
% 5.96/6.38 'class_RealVector_Oreal__algebra__1' [108, 1] (w:1, o:124, a:1, s:1
% 5.96/6.38 , b:0),
% 5.96/6.38 'c_RealVector_Oof__real' [109, 2] (w:1, o:174, a:1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Odivision__ring' [110, 1] (w:1, o:126, a:1
% 5.96/6.38 , s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Odivision__by__zero' [111, 1] (w:1, o:127, a:
% 5.96/6.38 1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Opordered__cancel__semiring' [115, 1] (w:1
% 5.96/6.38 , o:128, a:1, s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Oordered__ab__group__add' [116, 1] (w:1, o:70, a:
% 5.96/6.38 1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Opordered__semiring' [117, 1] (w:1, o:129, a:
% 5.96/6.38 1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Oordered__semidom' [119, 1] (w:1, o:109, a:1
% 5.96/6.38 , s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Oab__group__add' [120, 1] (w:1, o:89, a:1, s:1
% 5.96/6.38 , b:0),
% 5.96/6.38 'class_Int_Onumber__ring' [121, 1] (w:1, o:130, a:1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Ofield' [122, 1] (w:1, o:131, a:1, s:1, b:0)
% 5.96/6.38 ,
% 5.96/6.38 'class_Ring__and__Field_Ocomm__ring__1' [123, 1] (w:1, o:116, a:1, s:
% 5.96/6.38 1, b:0),
% 5.96/6.38 'class_OrderedGroup_Opordered__comm__monoid__add' [127, 1] (w:1, o:90
% 5.96/6.38 , a:1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Oabs__if' [128, 1] (w:1, o:132, a:1, s:1, b:0
% 5.96/6.38 ),
% 5.96/6.38 'class_Orderings_Olinorder' [129, 1] (w:1, o:91, a:1, s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [131, 1]
% 5.96/6.38 (w:1, o:92, a:1, s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Ocomm__monoid__add' [132, 1] (w:1, o:93, a:1, s:1
% 5.96/6.38 , b:0),
% 5.96/6.38 'class_Ring__and__Field_Olordered__ring' [134, 1] (w:1, o:72, a:1, s:
% 5.96/6.38 1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Osgn__if' [135, 1] (w:1, o:133, a:1, s:1, b:0
% 5.96/6.38 ),
% 5.96/6.38 'class_Orderings_Opreorder' [140, 1] (w:1, o:94, a:1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Oordered__semiring__strict' [141, 1] (w:1, o:
% 5.96/6.38 110, a:1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Oordered__semiring' [142, 1] (w:1, o:111, a:1
% 5.96/6.38 , s:1, b:0),
% 5.96/6.38 'v_na____' [143, 0] (w:1, o:54, a:1, s:1, b:0),
% 5.96/6.38 'class_RealVector_Oreal__normed__div__algebra' [144, 1] (w:1, o:134
% 5.96/6.38 , a:1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Oring' [145, 1] (w:1, o:79, a:1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Oring__no__zero__divisors' [146, 1] (w:1, o:
% 5.96/6.38 80, a:1, s:1, b:0),
% 5.96/6.38 'class_RealVector_Oreal__normed__algebra' [147, 1] (w:1, o:135, a:1
% 5.96/6.38 , s:1, b:0),
% 5.96/6.38 'class_RealVector_Oreal__algebra' [148, 1] (w:1, o:136, a:1, s:1, b:0
% 5.96/6.38 ),
% 5.96/6.38 'class_Ring__and__Field_Odvd' [149, 1] (w:1, o:137, a:1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Ocomm__ring' [151, 1] (w:1, o:117, a:1, s:1
% 5.96/6.38 , b:0),
% 5.96/6.38 'class_OrderedGroup_Opordered__ab__semigroup__add' [155, 1] (w:1, o:
% 5.96/6.38 95, a:1, s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Omonoid__add' [156, 1] (w:1, o:96, a:1, s:1, b:0)
% 5.96/6.38 ,
% 5.96/6.38 'class_Ring__and__Field_Oordered__comm__semiring__strict' [157, 1]
% 5.96/6.38 (w:1, o:112, a:1, s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [158, 1]
% 5.96/6.38 (w:1, o:97, a:1, s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Omonoid__mult' [160, 1] (w:1, o:98, a:1, s:1, b:0
% 5.96/6.38 ),
% 5.96/6.38 'class_RealVector_Oreal__normed__algebra__1' [161, 1] (w:1, o:138, a:
% 5.96/6.38 1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Oring__1__no__zero__divisors' [162, 1] (w:1
% 5.96/6.38 , o:81, a:1, s:1, b:0),
% 5.96/6.38 'class_RealVector_Oreal__field' [165, 1] (w:1, o:139, a:1, s:1, b:0)
% 5.96/6.38 ,
% 5.96/6.38 'c_Complex_Oexpi' [166, 1] (w:1, o:140, a:1, s:1, b:0),
% 5.96/6.38 'v_b' [167, 0] (w:1, o:59, a:1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Oring__1' [168, 1] (w:1, o:82, a:1, s:1, b:0)
% 5.96/6.38 ,
% 5.96/6.38 'v_sko__local__XIH__1' [170, 2] (w:1, o:175, a:1, s:1, b:0),
% 5.96/6.38 'v_v____' [171, 0] (w:1, o:60, a:1, s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Ocancel__semigroup__add' [172, 1] (w:1, o:99, a:1
% 5.96/6.38 , s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Ocancel__ab__semigroup__add' [173, 1] (w:1, o:100
% 5.96/6.38 , a:1, s:1, b:0),
% 5.96/6.38 'class_Ring__and__Field_Ocomm__semiring' [174, 1] (w:1, o:125, a:1
% 5.96/6.38 , s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Oab__semigroup__mult' [180, 1] (w:1, o:101, a:1
% 5.96/6.38 , s:1, b:0),
% 5.96/6.38 'class_OrderedGroup_Ocomm__monoid__mult' [181, 1] (w:1, o:102, a:1
% 26.53/26.90 , s:1, b:0),
% 26.53/26.90 'class_OrderedGroup_Oab__semigroup__idem__mult' [182, 1] (w:1, o:103
% 26.53/26.90 , a:1, s:1, b:0),
% 26.53/26.90 'class_OrderedGroup_Oab__semigroup__add' [183, 1] (w:1, o:104, a:1
% 26.53/26.90 , s:1, b:0),
% 26.53/26.90 'class_Ring__and__Field_Osemiring' [184, 1] (w:1, o:141, a:1, s:1, b:
% 26.53/26.90 0).
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Starting Search:
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 3472
% 26.53/26.90 Kept: 2004
% 26.53/26.90 Inuse: 126
% 26.53/26.90 Deleted: 0
% 26.53/26.90 Deletedinuse: 0
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 10435
% 26.53/26.90 Kept: 4011
% 26.53/26.90 Inuse: 230
% 26.53/26.90 Deleted: 0
% 26.53/26.90 Deletedinuse: 0
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 18426
% 26.53/26.90 Kept: 6022
% 26.53/26.90 Inuse: 263
% 26.53/26.90 Deleted: 0
% 26.53/26.90 Deletedinuse: 0
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 26072
% 26.53/26.90 Kept: 8027
% 26.53/26.90 Inuse: 289
% 26.53/26.90 Deleted: 0
% 26.53/26.90 Deletedinuse: 0
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 34273
% 26.53/26.90 Kept: 10072
% 26.53/26.90 Inuse: 316
% 26.53/26.90 Deleted: 0
% 26.53/26.90 Deletedinuse: 0
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 55083
% 26.53/26.90 Kept: 12595
% 26.53/26.90 Inuse: 346
% 26.53/26.90 Deleted: 0
% 26.53/26.90 Deletedinuse: 0
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 62772
% 26.53/26.90 Kept: 14619
% 26.53/26.90 Inuse: 382
% 26.53/26.90 Deleted: 1
% 26.53/26.90 Deletedinuse: 0
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 73018
% 26.53/26.90 Kept: 16691
% 26.53/26.90 Inuse: 430
% 26.53/26.90 Deleted: 1
% 26.53/26.90 Deletedinuse: 0
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 81950
% 26.53/26.90 Kept: 18701
% 26.53/26.90 Inuse: 454
% 26.53/26.90 Deleted: 1
% 26.53/26.90 Deletedinuse: 0
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying clauses:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 92237
% 26.53/26.90 Kept: 20845
% 26.53/26.90 Inuse: 479
% 26.53/26.90 Deleted: 357
% 26.53/26.90 Deletedinuse: 3
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 105541
% 26.53/26.90 Kept: 22889
% 26.53/26.90 Inuse: 519
% 26.53/26.90 Deleted: 358
% 26.53/26.90 Deletedinuse: 4
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 111511
% 26.53/26.90 Kept: 24890
% 26.53/26.90 Inuse: 538
% 26.53/26.90 Deleted: 358
% 26.53/26.90 Deletedinuse: 4
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 121736
% 26.53/26.90 Kept: 27058
% 26.53/26.90 Inuse: 564
% 26.53/26.90 Deleted: 358
% 26.53/26.90 Deletedinuse: 4
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 136671
% 26.53/26.90 Kept: 29293
% 26.53/26.90 Inuse: 573
% 26.53/26.90 Deleted: 360
% 26.53/26.90 Deletedinuse: 5
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 148005
% 26.53/26.90 Kept: 31421
% 26.53/26.90 Inuse: 628
% 26.53/26.90 Deleted: 362
% 26.53/26.90 Deletedinuse: 7
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 161364
% 26.53/26.90 Kept: 33599
% 26.53/26.90 Inuse: 674
% 26.53/26.90 Deleted: 366
% 26.53/26.90 Deletedinuse: 7
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 170279
% 26.53/26.90 Kept: 35637
% 26.53/26.90 Inuse: 699
% 26.53/26.90 Deleted: 366
% 26.53/26.90 Deletedinuse: 7
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 182655
% 26.53/26.90 Kept: 37663
% 26.53/26.90 Inuse: 714
% 26.53/26.90 Deleted: 366
% 26.53/26.90 Deletedinuse: 7
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 198489
% 26.53/26.90 Kept: 39738
% 26.53/26.90 Inuse: 782
% 26.53/26.90 Deleted: 368
% 26.53/26.90 Deletedinuse: 7
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying clauses:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 210852
% 26.53/26.90 Kept: 41793
% 26.53/26.90 Inuse: 822
% 26.53/26.90 Deleted: 777
% 26.53/26.90 Deletedinuse: 7
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 219298
% 26.53/26.90 Kept: 43882
% 26.53/26.90 Inuse: 842
% 26.53/26.90 Deleted: 777
% 26.53/26.90 Deletedinuse: 7
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 228491
% 26.53/26.90 Kept: 46266
% 26.53/26.90 Inuse: 865
% 26.53/26.90 Deleted: 777
% 26.53/26.90 Deletedinuse: 7
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 239184
% 26.53/26.90 Kept: 48465
% 26.53/26.90 Inuse: 872
% 26.53/26.90 Deleted: 777
% 26.53/26.90 Deletedinuse: 7
% 26.53/26.90
% 26.53/26.90 Resimplifying inuse:
% 26.53/26.90 Done
% 26.53/26.90
% 26.53/26.90
% 26.53/26.90 Intermediate Status:
% 26.53/26.90 Generated: 247009
% 77.06/77.44 Kept: 51139
% 77.06/77.44 Inuse: 887
% 77.06/77.44 Deleted: 777
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 261908
% 77.06/77.44 Kept: 55114
% 77.06/77.44 Inuse: 920
% 77.06/77.44 Deleted: 779
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 274071
% 77.06/77.44 Kept: 57123
% 77.06/77.44 Inuse: 954
% 77.06/77.44 Deleted: 779
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 289102
% 77.06/77.44 Kept: 59616
% 77.06/77.44 Inuse: 975
% 77.06/77.44 Deleted: 779
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying clauses:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 310146
% 77.06/77.44 Kept: 62858
% 77.06/77.44 Inuse: 990
% 77.06/77.44 Deleted: 1322
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 324858
% 77.06/77.44 Kept: 65088
% 77.06/77.44 Inuse: 1035
% 77.06/77.44 Deleted: 1322
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 334583
% 77.06/77.44 Kept: 67545
% 77.06/77.44 Inuse: 1040
% 77.06/77.44 Deleted: 1322
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 345066
% 77.06/77.44 Kept: 69565
% 77.06/77.44 Inuse: 1048
% 77.06/77.44 Deleted: 1322
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 358120
% 77.06/77.44 Kept: 72251
% 77.06/77.44 Inuse: 1070
% 77.06/77.44 Deleted: 1322
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 377061
% 77.06/77.44 Kept: 74337
% 77.06/77.44 Inuse: 1075
% 77.06/77.44 Deleted: 1322
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 386101
% 77.06/77.44 Kept: 76420
% 77.06/77.44 Inuse: 1087
% 77.06/77.44 Deleted: 1322
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 392783
% 77.06/77.44 Kept: 79151
% 77.06/77.44 Inuse: 1090
% 77.06/77.44 Deleted: 1322
% 77.06/77.44 Deletedinuse: 7
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 404317
% 77.06/77.44 Kept: 81179
% 77.06/77.44 Inuse: 1103
% 77.06/77.44 Deleted: 1325
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying clauses:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 429037
% 77.06/77.44 Kept: 84274
% 77.06/77.44 Inuse: 1120
% 77.06/77.44 Deleted: 1668
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 445274
% 77.06/77.44 Kept: 86708
% 77.06/77.44 Inuse: 1130
% 77.06/77.44 Deleted: 1668
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 466428
% 77.06/77.44 Kept: 89765
% 77.06/77.44 Inuse: 1145
% 77.06/77.44 Deleted: 1668
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 478291
% 77.06/77.44 Kept: 91772
% 77.06/77.44 Inuse: 1170
% 77.06/77.44 Deleted: 1668
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 496348
% 77.06/77.44 Kept: 94621
% 77.06/77.44 Inuse: 1195
% 77.06/77.44 Deleted: 1668
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 508444
% 77.06/77.44 Kept: 96653
% 77.06/77.44 Inuse: 1222
% 77.06/77.44 Deleted: 1668
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 520645
% 77.06/77.44 Kept: 100653
% 77.06/77.44 Inuse: 1235
% 77.06/77.44 Deleted: 1668
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying clauses:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 531729
% 77.06/77.44 Kept: 102695
% 77.06/77.44 Inuse: 1260
% 77.06/77.44 Deleted: 1918
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 544675
% 77.06/77.44 Kept: 104846
% 77.06/77.44 Inuse: 1290
% 77.06/77.44 Deleted: 1918
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 555840
% 77.06/77.44 Kept: 107329
% 77.06/77.44 Inuse: 1303
% 77.06/77.44 Deleted: 1918
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 566081
% 77.06/77.44 Kept: 109493
% 77.06/77.44 Inuse: 1310
% 77.06/77.44 Deleted: 1918
% 77.06/77.44 Deletedinuse: 10
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44 Resimplifying inuse:
% 77.06/77.44 Done
% 77.06/77.44
% 77.06/77.44
% 77.06/77.44 Intermediate Status:
% 77.06/77.44 Generated: 580689
% 77.06/77.44 Kept: 111593
% 77.06/77.44 Inuse: 1340
% 77.06/77.44 Deleted: 1918
% 77.06/77.44 Deletedinuse: 10
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 595023
% 164.71/165.08 Kept: 113769
% 164.71/165.08 Inuse: 1365
% 164.71/165.08 Deleted: 1918
% 164.71/165.08 Deletedinuse: 10
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 605486
% 164.71/165.08 Kept: 115846
% 164.71/165.08 Inuse: 1385
% 164.71/165.08 Deleted: 1918
% 164.71/165.08 Deletedinuse: 10
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 617375
% 164.71/165.08 Kept: 117908
% 164.71/165.08 Inuse: 1410
% 164.71/165.08 Deleted: 1918
% 164.71/165.08 Deletedinuse: 10
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 633243
% 164.71/165.08 Kept: 120510
% 164.71/165.08 Inuse: 1420
% 164.71/165.08 Deleted: 1918
% 164.71/165.08 Deletedinuse: 10
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying clauses:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 651608
% 164.71/165.08 Kept: 123276
% 164.71/165.08 Inuse: 1430
% 164.71/165.08 Deleted: 4137
% 164.71/165.08 Deletedinuse: 10
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 676220
% 164.71/165.08 Kept: 127213
% 164.71/165.08 Inuse: 1440
% 164.71/165.08 Deleted: 4137
% 164.71/165.08 Deletedinuse: 10
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 689797
% 164.71/165.08 Kept: 129221
% 164.71/165.08 Inuse: 1467
% 164.71/165.08 Deleted: 4137
% 164.71/165.08 Deletedinuse: 10
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 726954
% 164.71/165.08 Kept: 133272
% 164.71/165.08 Inuse: 1480
% 164.71/165.08 Deleted: 4137
% 164.71/165.08 Deletedinuse: 10
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 735475
% 164.71/165.08 Kept: 135336
% 164.71/165.08 Inuse: 1498
% 164.71/165.08 Deleted: 4137
% 164.71/165.08 Deletedinuse: 10
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 745401
% 164.71/165.08 Kept: 137410
% 164.71/165.08 Inuse: 1517
% 164.71/165.08 Deleted: 4144
% 164.71/165.08 Deletedinuse: 14
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 755818
% 164.71/165.08 Kept: 139424
% 164.71/165.08 Inuse: 1537
% 164.71/165.08 Deleted: 4144
% 164.71/165.08 Deletedinuse: 14
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 768878
% 164.71/165.08 Kept: 142169
% 164.71/165.08 Inuse: 1547
% 164.71/165.08 Deleted: 4144
% 164.71/165.08 Deletedinuse: 14
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying clauses:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 780438
% 164.71/165.08 Kept: 144528
% 164.71/165.08 Inuse: 1552
% 164.71/165.08 Deleted: 6142
% 164.71/165.08 Deletedinuse: 14
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 803086
% 164.71/165.08 Kept: 146728
% 164.71/165.08 Inuse: 1562
% 164.71/165.08 Deleted: 6144
% 164.71/165.08 Deletedinuse: 16
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 815482
% 164.71/165.08 Kept: 148746
% 164.71/165.08 Inuse: 1585
% 164.71/165.08 Deleted: 6144
% 164.71/165.08 Deletedinuse: 16
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 828197
% 164.71/165.08 Kept: 150790
% 164.71/165.08 Inuse: 1607
% 164.71/165.08 Deleted: 6144
% 164.71/165.08 Deletedinuse: 16
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 850048
% 164.71/165.08 Kept: 154163
% 164.71/165.08 Inuse: 1617
% 164.71/165.08 Deleted: 6144
% 164.71/165.08 Deletedinuse: 16
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 866271
% 164.71/165.08 Kept: 156260
% 164.71/165.08 Inuse: 1652
% 164.71/165.08 Deleted: 6144
% 164.71/165.08 Deletedinuse: 16
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 877064
% 164.71/165.08 Kept: 158273
% 164.71/165.08 Inuse: 1675
% 164.71/165.08 Deleted: 6146
% 164.71/165.08 Deletedinuse: 18
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 888905
% 164.71/165.08 Kept: 160295
% 164.71/165.08 Inuse: 1699
% 164.71/165.08 Deleted: 6149
% 164.71/165.08 Deletedinuse: 21
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 907680
% 164.71/165.08 Kept: 163139
% 164.71/165.08 Inuse: 1707
% 164.71/165.08 Deleted: 6149
% 164.71/165.08 Deletedinuse: 21
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying clauses:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 925322
% 164.71/165.08 Kept: 165755
% 164.71/165.08 Inuse: 1712
% 164.71/165.08 Deleted: 7145
% 164.71/165.08 Deletedinuse: 21
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 941219
% 164.71/165.08 Kept: 167820
% 164.71/165.08 Inuse: 1739
% 164.71/165.08 Deleted: 7145
% 164.71/165.08 Deletedinuse: 21
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08
% 164.71/165.08 Intermediate Status:
% 164.71/165.08 Generated: 957386
% 164.71/165.08 Kept: 170237
% 164.71/165.08 Inuse: 1762
% 164.71/165.08 Deleted: 7164
% 164.71/165.08 Deletedinuse: 40
% 164.71/165.08
% 164.71/165.08 Resimplifying inuse:
% 164.71/165.08 Done
% 164.71/165.08
% 164.71/165.08 Resimplifying inuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------