TSTP Solution File: ALG384-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG384-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 12:10:39 EDT 2022
% Result : Unsatisfiable 134.83s 135.27s
% Output : Refutation 134.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG384-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14 % Command : bliksem %s
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Wed Jun 8 12:02:40 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.87/1.28 *** allocated 10000 integers for termspace/termends
% 0.87/1.28 *** allocated 10000 integers for clauses
% 0.87/1.28 *** allocated 10000 integers for justifications
% 0.87/1.28 *** allocated 15000 integers for termspace/termends
% 0.87/1.28 Bliksem 1.12
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Automatic Strategy Selection
% 0.87/1.28
% 0.87/1.28 Clauses:
% 0.87/1.28 [
% 0.87/1.28 [ =( 'c_RealVector_Onorm__class_Onorm'( X, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.87/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.87/1.28 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.87/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.87/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.87/1.28 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.87/1.28 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.28 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.87/1.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.28 Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , T, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , T, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.87/1.28 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.87/1.28 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , Z, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.87/1.28 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , Z, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.87/1.28 , Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.87/1.28 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.87/1.28 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.87/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.87/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 Y, T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 Y, T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.87/1.28 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.87/1.28 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.87/1.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.87/1.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.28 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.87/1.28 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.28 X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.87/1.28 Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.87/1.28 Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.87/1.28 X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.87/1.28 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.87/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.28 , T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.28 , T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.28 , T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.87/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.87/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.87/1.28 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.87/1.28 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1'( Z, X ),
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.87/1.28 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.87/1.28 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1'( T, X ),
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.87/1.28 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1'( Z, X
% 0.87/1.28 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.87/1.28 , X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.87/1.28 , X ), X ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 0.87/1.28 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.87/1.28 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 Y, T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.87/1.28 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 0.87/1.28 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.28 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.87/1.28 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.87/1.28 Y, X ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'(
% 0.87/1.28 Z, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.28 , Y, X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.28 , Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.87/1.28 ), X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.87/1.28 , X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.87/1.28 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.87/1.28 =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.87/1.28 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.87/1.28 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.87/1.28 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.87/1.28 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.87/1.28 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.28 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.87/1.28 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.87/1.28 , X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.87/1.28 'c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1'( Z, X ),
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 0.87/1.28 ) ) ), =( X, Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.87/1.28 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_Transcendental_Oexp'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 0.87/1.28 'c_RealVector_Oof__real'( 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal'
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 0.87/1.28 Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.87/1.28 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.87/1.28 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.87/1.28 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.87/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.87/1.28 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.28 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.28 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.87/1.28 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.87/1.28 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.28 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.87/1.28 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.28 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.28 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.87/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.87/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ) ],
% 0.87/1.28 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.87/1.28 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.87/1.28 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 0.87/1.28 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y
% 0.87/1.28 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'( Y ),
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 0.87/1.28 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 0.87/1.28 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.87/1.28 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.87/1.28 , 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.87/1.28 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.87/1.28 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.87/1.28 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.28 T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.28 X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.28 T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.28 X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 T, X ), X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.28 X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.87/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.87/1.28 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.87/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.28 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.87/1.28 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( T, X ),
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.87/1.28 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.87/1.28 Z, X ),
% 0.87/1.28 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y, X
% 0.87/1.28 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 0.87/1.28 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.87/1.28 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.87/1.28 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.87/1.28 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.87/1.28 'tc_RealDef_Oreal' ) ), X ) ],
% 0.87/1.28 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.87/1.28 'tc_RealDef_Oreal' ) ), X ) ],
% 0.87/1.28 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.87/1.28 'tc_RealDef_Oreal' ) ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.87/1.28 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.87/1.28 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.87/1.28 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.87/1.28 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'( T,
% 0.87/1.28 Y, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.87/1.28 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.87/1.28 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.87/1.28 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.87/1.28 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.87/1.28 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.87/1.28 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.87/1.28 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.87/1.28 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.87/1.28 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.87/1.28 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.87/1.28 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.87/1.28 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.87/1.28 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.87/1.28 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.87/1.28 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.87/1.28 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.87/1.28 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.87/1.28 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.87/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.87/1.28 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.87/1.28 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.87/1.28 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.87/1.28 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.87/1.28 Z, X ), X ) ) ],
% 0.87/1.28 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.87/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.87/1.28 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.87/1.28 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.87/1.28 Y, X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.28 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.87/1.28 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.87/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.87/1.28 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.87/1.28 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'( Y ),
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y
% 0.87/1.28 , X ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1'
% 0.87/1.28 , 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Y
% 0.87/1.28 , X ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1'( Y, X )
% 0.87/1.28 , 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'(
% 0.87/1.28 Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ),
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ),
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1'( X, Y ),
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__1__1'( X, Y
% 0.87/1.28 , Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.87/1.28 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.87/1.28 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ),
% 0.87/1.28 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.87/1.28 X, Y ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X,
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), Y, 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1'( Y, X )
% 0.87/1.28 , 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1'(
% 0.87/1.28 X, Y, Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.87/1.28 , Z ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.87/1.28 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1'( Y, X ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1'
% 0.87/1.28 , 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ), Y,
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ), X,
% 0.87/1.28 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.87/1.28 , 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ),
% 0.87/1.28 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1'( X, Y,
% 0.87/1.28 Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1', 'tc_RealDef_Oreal'
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( Y, X ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.28 ), 'c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1'(
% 0.87/1.28 Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29 , Y, X ) ) ],
% 0.87/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.29 , X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29 , Y, X ) ) ],
% 0.87/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.29 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.87/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.29 ), =( Z, Y ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29 ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.29 ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.87/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.87/1.29 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.87/1.29 ), 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.87/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.29 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.87/1.29 ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.29 [ ~( =( 'v_c____', 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) )
% 0.87/1.29 ) ],
% 0.87/1.29 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.29 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____',
% 0.87/1.29 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.87/1.29 ],
% 0.87/1.29 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.87/1.29 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.87/1.29 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.87/1.29 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.87/1.29 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.87/1.29 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.87/1.29 ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.87/1.29 ],
% 0.87/1.29 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.87/1.29 'tc_Complex_Ocomplex' ) ],
% 0.87/1.29 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.87/1.29 ) ],
% 0.87/1.29 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.87/1.29 ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.87/1.29 ],
% 0.87/1.29 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.87/1.29 ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.87/1.29 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.87/1.29 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 0.87/1.29 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.87/1.29 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.87/1.29 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.87/1.29 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ]
% 0.87/1.29 ] .
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 percentage equality = 0.134232, percentage horn = 0.811429
% 0.87/1.29 This is a problem with some equality
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Options Used:
% 0.87/1.29
% 0.87/1.29 useres = 1
% 0.87/1.29 useparamod = 1
% 0.87/1.29 useeqrefl = 1
% 0.87/1.29 useeqfact = 1
% 0.87/1.29 usefactor = 1
% 0.87/1.29 usesimpsplitting = 0
% 0.87/1.29 usesimpdemod = 5
% 0.87/1.29 usesimpres = 3
% 0.87/1.29
% 0.87/1.29 resimpinuse = 1000
% 0.87/1.29 resimpclauses = 20000
% 0.87/1.29 substype = eqrewr
% 0.87/1.29 backwardsubs = 1
% 0.87/1.29 selectoldest = 5
% 0.87/1.29
% 0.87/1.29 litorderings [0] = split
% 0.87/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.29
% 0.87/1.29 termordering = kbo
% 0.87/1.29
% 0.87/1.29 litapriori = 0
% 0.87/1.29 termapriori = 1
% 0.87/1.29 litaposteriori = 0
% 0.87/1.29 termaposteriori = 0
% 0.93/1.51 demodaposteriori = 0
% 0.93/1.51 ordereqreflfact = 0
% 0.93/1.51
% 0.93/1.51 litselect = negord
% 0.93/1.51
% 0.93/1.51 maxweight = 15
% 0.93/1.51 maxdepth = 30000
% 0.93/1.51 maxlength = 115
% 0.93/1.51 maxnrvars = 195
% 0.93/1.51 excuselevel = 1
% 0.93/1.51 increasemaxweight = 1
% 0.93/1.51
% 0.93/1.51 maxselected = 10000000
% 0.93/1.51 maxnrclauses = 10000000
% 0.93/1.51
% 0.93/1.51 showgenerated = 0
% 0.93/1.51 showkept = 0
% 0.93/1.51 showselected = 0
% 0.93/1.51 showdeleted = 0
% 0.93/1.51 showresimp = 1
% 0.93/1.51 showstatus = 2000
% 0.93/1.51
% 0.93/1.51 prologoutput = 1
% 0.93/1.51 nrgoals = 5000000
% 0.93/1.51 totalproof = 1
% 0.93/1.51
% 0.93/1.51 Symbols occurring in the translation:
% 0.93/1.51
% 0.93/1.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.93/1.51 . [1, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.93/1.51 ! [4, 1] (w:0, o:52, a:1, s:1, b:0),
% 0.93/1.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.51 'tc_RealDef_Oreal' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.93/1.51 'c_RealVector_Onorm__class_Onorm' [41, 2] (w:1, o:129, a:1, s:1, b:0)
% 0.93/1.51 ,
% 0.93/1.51 'c_HOL_Oabs__class_Oabs' [42, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.93/1.51 'class_RealVector_Oreal__vector' [44, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.93/1.51
% 0.93/1.51 'c_HOL_Ozero__class_Ozero' [46, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.93/1.51 'c_RealVector_OscaleR__class_OscaleR' [47, 3] (w:1, o:148, a:1, s:1
% 0.93/1.51 , b:0),
% 0.93/1.51 'class_OrderedGroup_Opordered__ab__group__add__abs' [49, 1] (w:1, o:
% 0.93/1.51 60, a:1, s:1, b:0),
% 0.93/1.51 'class_Ring__and__Field_Odivision__ring' [50, 1] (w:1, o:62, a:1, s:1
% 0.93/1.51 , b:0),
% 0.93/1.51 'c_HOL_Oinverse__class_Oinverse' [51, 2] (w:1, o:131, a:1, s:1, b:0)
% 0.93/1.51 ,
% 0.93/1.51 'class_Ring__and__Field_Odivision__by__zero' [52, 1] (w:1, o:63, a:1
% 0.93/1.51 , s:1, b:0),
% 0.93/1.51 'class_Ring__and__Field_Oordered__idom' [53, 1] (w:1, o:67, a:1, s:1
% 0.93/1.51 , b:0),
% 0.93/1.51 'c_HOL_Osgn__class_Osgn' [54, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.93/1.51 'class_Ring__and__Field_Osgn__if' [55, 1] (w:1, o:69, a:1, s:1, b:0)
% 0.93/1.51 ,
% 0.93/1.51 'class_RealVector_Oreal__normed__vector' [56, 1] (w:1, o:70, a:1, s:1
% 0.93/1.51 , b:0),
% 0.93/1.51 'class_Ring__and__Field_Oring__no__zero__divisors' [57, 1] (w:1, o:68
% 0.93/1.51 , a:1, s:1, b:0),
% 0.93/1.51 'c_HOL_Otimes__class_Otimes' [58, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.93/1.51 'class_Ring__and__Field_Omult__zero' [59, 1] (w:1, o:72, a:1, s:1, b:
% 0.93/1.51 0),
% 0.93/1.51 'class_Ring__and__Field_Ocomm__semiring__1' [60, 1] (w:1, o:61, a:1
% 0.93/1.51 , s:1, b:0),
% 0.93/1.51 'class_RealVector_Oreal__normed__algebra' [62, 1] (w:1, o:73, a:1, s:
% 0.93/1.51 1, b:0),
% 0.93/1.51 'class_Ring__and__Field_Ofield' [64, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.93/1.51 'c_HOL_Oinverse__class_Odivide' [65, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.93/1.51
% 0.93/1.51 'class_Ring__and__Field_Ono__zero__divisors' [66, 1] (w:1, o:66, a:1
% 0.93/1.51 , s:1, b:0),
% 0.93/1.51 'class_RealVector_Oreal__normed__field' [67, 1] (w:1, o:75, a:1, s:1
% 0.93/1.51 , b:0),
% 0.93/1.51 'class_SEQ_Obanach' [68, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.93/1.51 'c_Transcendental_Oexp' [69, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.93/1.51 'class_Ring__and__Field_Oordered__semiring__strict' [70, 1] (w:1, o:
% 0.93/1.51 77, a:1, s:1, b:0),
% 0.93/1.51 'c_HOL_Oord__class_Oless' [73, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.93/1.51 'c_lessequals' [74, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.93/1.51 'class_Ring__and__Field_Oordered__field' [75, 1] (w:1, o:78, a:1, s:1
% 0.93/1.51 , b:0),
% 0.93/1.51 'class_Ring__and__Field_Oordered__semiring' [78, 1] (w:1, o:79, a:1
% 0.93/1.51 , s:1, b:0),
% 0.93/1.51 'class_Ring__and__Field_Oordered__ring__strict' [79, 1] (w:1, o:76
% 0.93/1.51 , a:1, s:1, b:0),
% 0.93/1.51 'class_Orderings_Oorder' [80, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.93/1.51 'class_Orderings_Opreorder' [81, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.93/1.51 'class_RealVector_Oreal__algebra__1' [82, 1] (w:1, o:80, a:1, s:1, b:
% 0.93/1.51 0),
% 0.93/1.51 'c_RealVector_Oof__real' [84, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.93/1.51 'c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1' [86, 2
% 0.93/1.51 ] (w:1, o:135, a:1, s:1, b:0),
% 0.93/1.51 'c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1' [88, 2
% 0.93/1.51 ] (w:1, o:136, a:1, s:1, b:0),
% 0.93/1.51 'c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1' [89, 2
% 0.93/1.51 ] (w:1, o:137, a:1, s:1, b:0),
% 0.93/1.51 'class_Ring__and__Field_Oordered__semidom' [90, 1] (w:1, o:81, a:1
% 0.93/1.51 , s:1, b:0),
% 0.93/1.51 'c_Nat_Osemiring__1__class_Oof__nat' [92, 2] (w:1, o:138, a:1, s:1
% 0.93/1.51 , b:0),
% 0.93/1.51 'class_RealVector_Ometric__space' [94, 1] (w:1, o:82, a:1, s:1, b:0)
% 18.42/18.82 ,
% 18.42/18.82 'c_RealVector_Odist__class_Odist' [95, 3] (w:1, o:153, a:1, s:1, b:0)
% 18.42/18.82 ,
% 18.42/18.82 'c_NthRoot_Osqrt' [96, 1] (w:1, o:95, a:1, s:1, b:0),
% 18.42/18.82 'tc_nat' [97, 0] (w:1, o:33, a:1, s:1, b:0),
% 18.42/18.82 'c_RealDef_Oreal' [98, 2] (w:1, o:139, a:1, s:1, b:0),
% 18.42/18.82 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1' [99, 2
% 18.42/18.82 ] (w:1, o:140, a:1, s:1, b:0),
% 18.42/18.82 'class_Ring__and__Field_Olordered__ring' [100, 1] (w:1, o:71, a:1, s:
% 18.42/18.82 1, b:0),
% 18.42/18.82 'class_Nat_Osemiring__char__0' [101, 1] (w:1, o:59, a:1, s:1, b:0),
% 18.42/18.82 'c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1' [102, 2
% 18.42/18.82 ] (w:1, o:141, a:1, s:1, b:0),
% 18.42/18.82 'class_Ring__and__Field_Opordered__ring__abs' [107, 1] (w:1, o:84, a:
% 18.42/18.82 1, s:1, b:0),
% 18.42/18.82 'class_OrderedGroup_Oab__semigroup__idem__mult' [108, 1] (w:1, o:96
% 18.42/18.82 , a:1, s:1, b:0),
% 18.42/18.82 'class_Ring__and__Field_Omult__mono1' [109, 1] (w:1, o:64, a:1, s:1
% 18.42/18.82 , b:0),
% 18.42/18.82 'class_Ring__and__Field_Omult__mono' [110, 1] (w:1, o:65, a:1, s:1
% 18.42/18.82 , b:0),
% 18.42/18.82 'class_Ring__and__Field_Opordered__ring' [111, 1] (w:1, o:85, a:1, s:
% 18.42/18.82 1, b:0),
% 18.42/18.82 'class_Orderings_Olinorder' [112, 1] (w:1, o:97, a:1, s:1, b:0),
% 18.42/18.82 'c_Transcendental_Opi' [113, 0] (w:1, o:36, a:1, s:1, b:0),
% 18.42/18.82 'c_NthRoot_Oroot' [114, 2] (w:1, o:142, a:1, s:1, b:0),
% 18.42/18.82 'c_Transcendental_Oln' [115, 1] (w:1, o:98, a:1, s:1, b:0),
% 18.42/18.82 'c_RealDef_Oreal__of__preal' [116, 1] (w:1, o:99, a:1, s:1, b:0),
% 18.42/18.82 'class_Ring__and__Field_Oabs__if' [118, 1] (w:1, o:86, a:1, s:1, b:0)
% 18.42/18.82 ,
% 18.42/18.82 'class_OrderedGroup_Olordered__ab__group__add__abs' [119, 1] (w:1, o:
% 18.42/18.82 100, a:1, s:1, b:0),
% 18.42/18.82 'class_Ring__and__Field_Opordered__cancel__semiring' [120, 1] (w:1
% 18.42/18.82 , o:87, a:1, s:1, b:0),
% 18.42/18.82 'class_OrderedGroup_Oab__semigroup__mult' [121, 1] (w:1, o:101, a:1
% 18.42/18.82 , s:1, b:0),
% 18.42/18.82 'class_Ring__and__Field_Opordered__semiring' [125, 1] (w:1, o:88, a:1
% 18.42/18.82 , s:1, b:0),
% 18.42/18.82 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1' [128, 2]
% 18.42/18.82 (w:1, o:143, a:1, s:1, b:0),
% 18.42/18.82 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1' [129, 2
% 18.42/18.82 ] (w:1, o:144, a:1, s:1, b:0),
% 18.42/18.82 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1' [132
% 18.42/18.82 , 3] (w:1, o:154, a:1, s:1, b:0),
% 18.42/18.82 'class_RealVector_Oreal__algebra' [134, 1] (w:1, o:89, a:1, s:1, b:0)
% 18.42/18.82 ,
% 18.42/18.82 'class_RealVector_Oreal__normed__algebra__1' [135, 1] (w:1, o:90, a:1
% 18.42/18.82 , s:1, b:0),
% 18.42/18.82 'class_RealVector_Oreal__normed__div__algebra' [137, 1] (w:1, o:91
% 18.42/18.82 , a:1, s:1, b:0),
% 18.42/18.82 'class_Int_Onumber__ring' [138, 1] (w:1, o:102, a:1, s:1, b:0),
% 18.42/18.82 'class_Ring__and__Field_Oordered__comm__semiring__strict' [141, 1]
% 18.42/18.82 (w:1, o:83, a:1, s:1, b:0),
% 18.42/18.82 'c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1' [142, 0] (w:1, o:
% 18.42/18.82 43, a:1, s:1, b:0),
% 18.42/18.82 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1' [143, 1
% 18.42/18.82 ] (w:1, o:103, a:1, s:1, b:0),
% 18.42/18.82 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1' [146, 2] (w:
% 18.42/18.82 1, o:145, a:1, s:1, b:0),
% 18.42/18.82 'c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1' [147, 2] (w:1
% 18.42/18.82 , o:146, a:1, s:1, b:0),
% 18.42/18.82 'c_Deriv_Osko__Deriv__Xlemma__interval__1__1' [148, 3] (w:1, o:155
% 18.42/18.82 , a:1, s:1, b:0),
% 18.42/18.82 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 18.42/18.82 [150, 2] (w:1, o:147, a:1, s:1, b:0),
% 18.42/18.82 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1' [151, 3] (w:1, o:
% 18.42/18.82 156, a:1, s:1, b:0),
% 18.42/18.82 'c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1' [152, 0] (w:1, o:
% 18.42/18.82 47, a:1, s:1, b:0),
% 18.42/18.82 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1' [154, 3
% 18.42/18.82 ] (w:1, o:157, a:1, s:1, b:0),
% 18.42/18.82 'c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1' [155, 0] (w:1
% 18.42/18.82 , o:49, a:1, s:1, b:0),
% 18.42/18.82 'v_c____' [156, 0] (w:1, o:50, a:1, s:1, b:0),
% 18.42/18.82 'tc_Complex_Ocomplex' [157, 0] (w:1, o:51, a:1, s:1, b:0).
% 18.42/18.82
% 18.42/18.82
% 18.42/18.82 Starting Search:
% 18.42/18.82
% 18.42/18.82 Resimplifying inuse:
% 18.42/18.82 Done
% 18.42/18.82
% 18.42/18.82
% 18.42/18.82 Intermediate Status:
% 18.42/18.82 Generated: 8827
% 18.42/18.82 Kept: 2021
% 18.42/18.82 Inuse: 105
% 18.42/18.82 Deleted: 2
% 18.42/18.82 Deletedinuse: 0
% 18.42/18.82
% 18.42/18.82 Resimplifying inuse:
% 18.42/18.82 Done
% 18.42/18.82
% 18.42/18.82 Resimplifying inuse:
% 18.42/18.82 Done
% 18.42/18.82
% 18.42/18.82
% 18.42/18.82 Intermediate Status:
% 73.70/74.06 Generated: 17357
% 73.70/74.06 Kept: 4025
% 73.70/74.06 Inuse: 174
% 73.70/74.06 Deleted: 2
% 73.70/74.06 Deletedinuse: 0
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 26948
% 73.70/74.06 Kept: 6025
% 73.70/74.06 Inuse: 264
% 73.70/74.06 Deleted: 2
% 73.70/74.06 Deletedinuse: 0
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 35882
% 73.70/74.06 Kept: 8112
% 73.70/74.06 Inuse: 319
% 73.70/74.06 Deleted: 2
% 73.70/74.06 Deletedinuse: 0
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 45725
% 73.70/74.06 Kept: 10246
% 73.70/74.06 Inuse: 372
% 73.70/74.06 Deleted: 2
% 73.70/74.06 Deletedinuse: 0
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 62982
% 73.70/74.06 Kept: 12990
% 73.70/74.06 Inuse: 434
% 73.70/74.06 Deleted: 3
% 73.70/74.06 Deletedinuse: 1
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 78747
% 73.70/74.06 Kept: 15008
% 73.70/74.06 Inuse: 488
% 73.70/74.06 Deleted: 3
% 73.70/74.06 Deletedinuse: 1
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 88725
% 73.70/74.06 Kept: 17042
% 73.70/74.06 Inuse: 538
% 73.70/74.06 Deleted: 4
% 73.70/74.06 Deletedinuse: 1
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 97712
% 73.70/74.06 Kept: 19048
% 73.70/74.06 Inuse: 581
% 73.70/74.06 Deleted: 6
% 73.70/74.06 Deletedinuse: 2
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying clauses:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 109597
% 73.70/74.06 Kept: 21051
% 73.70/74.06 Inuse: 610
% 73.70/74.06 Deleted: 709
% 73.70/74.06 Deletedinuse: 2
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 120783
% 73.70/74.06 Kept: 23051
% 73.70/74.06 Inuse: 638
% 73.70/74.06 Deleted: 709
% 73.70/74.06 Deletedinuse: 2
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 131233
% 73.70/74.06 Kept: 25217
% 73.70/74.06 Inuse: 652
% 73.70/74.06 Deleted: 709
% 73.70/74.06 Deletedinuse: 2
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 146181
% 73.70/74.06 Kept: 27422
% 73.70/74.06 Inuse: 672
% 73.70/74.06 Deleted: 709
% 73.70/74.06 Deletedinuse: 2
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 163476
% 73.70/74.06 Kept: 29880
% 73.70/74.06 Inuse: 692
% 73.70/74.06 Deleted: 709
% 73.70/74.06 Deletedinuse: 2
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 174200
% 73.70/74.06 Kept: 32028
% 73.70/74.06 Inuse: 732
% 73.70/74.06 Deleted: 732
% 73.70/74.06 Deletedinuse: 20
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 188781
% 73.70/74.06 Kept: 35312
% 73.70/74.06 Inuse: 760
% 73.70/74.06 Deleted: 734
% 73.70/74.06 Deletedinuse: 20
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 198180
% 73.70/74.06 Kept: 37344
% 73.70/74.06 Inuse: 790
% 73.70/74.06 Deleted: 741
% 73.70/74.06 Deletedinuse: 27
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 213870
% 73.70/74.06 Kept: 39594
% 73.70/74.06 Inuse: 835
% 73.70/74.06 Deleted: 741
% 73.70/74.06 Deletedinuse: 27
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying clauses:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 226427
% 73.70/74.06 Kept: 42052
% 73.70/74.06 Inuse: 855
% 73.70/74.06 Deleted: 2214
% 73.70/74.06 Deletedinuse: 27
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 237496
% 73.70/74.06 Kept: 44075
% 73.70/74.06 Inuse: 878
% 73.70/74.06 Deleted: 2214
% 73.70/74.06 Deletedinuse: 27
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 269345
% 73.70/74.06 Kept: 46737
% 73.70/74.06 Inuse: 885
% 73.70/74.06 Deleted: 2214
% 73.70/74.06 Deletedinuse: 27
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 292944
% 73.70/74.06 Kept: 49510
% 73.70/74.06 Inuse: 895
% 73.70/74.06 Deleted: 2214
% 73.70/74.06 Deletedinuse: 27
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 309421
% 73.70/74.06 Kept: 52276
% 73.70/74.06 Inuse: 905
% 73.70/74.06 Deleted: 2214
% 73.70/74.06 Deletedinuse: 27
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 324194
% 73.70/74.06 Kept: 54448
% 73.70/74.06 Inuse: 935
% 73.70/74.06 Deleted: 2216
% 73.70/74.06 Deletedinuse: 29
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 345695
% 73.70/74.06 Kept: 59623
% 73.70/74.06 Inuse: 965
% 73.70/74.06 Deleted: 2216
% 73.70/74.06 Deletedinuse: 29
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying inuse:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06 Resimplifying clauses:
% 73.70/74.06 Done
% 73.70/74.06
% 73.70/74.06
% 73.70/74.06 Intermediate Status:
% 73.70/74.06 Generated: 362910
% 73.70/74.06 Kept: 62519
% 73.70/74.06 Inuse: 990
% 73.70/74.06 Deleted: 4255
% 73.70/74.06 Deletedinuse: 29
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 373129
% 134.83/135.27 Kept: 64541
% 134.83/135.27 Inuse: 1013
% 134.83/135.27 Deleted: 4255
% 134.83/135.27 Deletedinuse: 29
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 384808
% 134.83/135.27 Kept: 66580
% 134.83/135.27 Inuse: 1045
% 134.83/135.27 Deleted: 4255
% 134.83/135.27 Deletedinuse: 29
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 395517
% 134.83/135.27 Kept: 68641
% 134.83/135.27 Inuse: 1055
% 134.83/135.27 Deleted: 4255
% 134.83/135.27 Deletedinuse: 29
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 411120
% 134.83/135.27 Kept: 71016
% 134.83/135.27 Inuse: 1075
% 134.83/135.27 Deleted: 4255
% 134.83/135.27 Deletedinuse: 29
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 425093
% 134.83/135.27 Kept: 73090
% 134.83/135.27 Inuse: 1086
% 134.83/135.27 Deleted: 4255
% 134.83/135.27 Deletedinuse: 29
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 432236
% 134.83/135.27 Kept: 75096
% 134.83/135.27 Inuse: 1112
% 134.83/135.27 Deleted: 4568
% 134.83/135.27 Deletedinuse: 342
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 442145
% 134.83/135.27 Kept: 77337
% 134.83/135.27 Inuse: 1135
% 134.83/135.27 Deleted: 4568
% 134.83/135.27 Deletedinuse: 342
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 451454
% 134.83/135.27 Kept: 79627
% 134.83/135.27 Inuse: 1160
% 134.83/135.27 Deleted: 4568
% 134.83/135.27 Deletedinuse: 342
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying clauses:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 461133
% 134.83/135.27 Kept: 81654
% 134.83/135.27 Inuse: 1175
% 134.83/135.27 Deleted: 15075
% 134.83/135.27 Deletedinuse: 342
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 471446
% 134.83/135.27 Kept: 83661
% 134.83/135.27 Inuse: 1198
% 134.83/135.27 Deleted: 15075
% 134.83/135.27 Deletedinuse: 342
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 482357
% 134.83/135.27 Kept: 85678
% 134.83/135.27 Inuse: 1225
% 134.83/135.27 Deleted: 15075
% 134.83/135.27 Deletedinuse: 342
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 494395
% 134.83/135.27 Kept: 87702
% 134.83/135.27 Inuse: 1262
% 134.83/135.27 Deleted: 15075
% 134.83/135.27 Deletedinuse: 342
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 510336
% 134.83/135.27 Kept: 90175
% 134.83/135.27 Inuse: 1289
% 134.83/135.27 Deleted: 15079
% 134.83/135.27 Deletedinuse: 345
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 520322
% 134.83/135.27 Kept: 92192
% 134.83/135.27 Inuse: 1318
% 134.83/135.27 Deleted: 15079
% 134.83/135.27 Deletedinuse: 345
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 549378
% 134.83/135.27 Kept: 95894
% 134.83/135.27 Inuse: 1339
% 134.83/135.27 Deleted: 15079
% 134.83/135.27 Deletedinuse: 345
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 560000
% 134.83/135.27 Kept: 98144
% 134.83/135.27 Inuse: 1359
% 134.83/135.27 Deleted: 15079
% 134.83/135.27 Deletedinuse: 345
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 571933
% 134.83/135.27 Kept: 100146
% 134.83/135.27 Inuse: 1390
% 134.83/135.27 Deleted: 15079
% 134.83/135.27 Deletedinuse: 345
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 590255
% 134.83/135.27 Kept: 102646
% 134.83/135.27 Inuse: 1404
% 134.83/135.27 Deleted: 15079
% 134.83/135.27 Deletedinuse: 345
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying clauses:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 612779
% 134.83/135.27 Kept: 104654
% 134.83/135.27 Inuse: 1442
% 134.83/135.27 Deleted: 16388
% 134.83/135.27 Deletedinuse: 345
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 626946
% 134.83/135.27 Kept: 106671
% 134.83/135.27 Inuse: 1470
% 134.83/135.27 Deleted: 16390
% 134.83/135.27 Deletedinuse: 345
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 645456
% 134.83/135.27 Kept: 108808
% 134.83/135.27 Inuse: 1507
% 134.83/135.27 Deleted: 16390
% 134.83/135.27 Deletedinuse: 345
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 655940
% 134.83/135.27 Kept: 110878
% 134.83/135.27 Inuse: 1532
% 134.83/135.27 Deleted: 16394
% 134.83/135.27 Deletedinuse: 349
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 669235
% 134.83/135.27 Kept: 113076
% 134.83/135.27 Inuse: 1552
% 134.83/135.27 Deleted: 16394
% 134.83/135.27 Deletedinuse: 349
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 723137
% 134.83/135.27 Kept: 116059
% 134.83/135.27 Inuse: 1562
% 134.83/135.27 Deleted: 16394
% 134.83/135.27 Deletedinuse: 349
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 741720
% 134.83/135.27 Kept: 118180
% 134.83/135.27 Inuse: 1592
% 134.83/135.27 Deleted: 16394
% 134.83/135.27 Deletedinuse: 349
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 757691
% 134.83/135.27 Kept: 120182
% 134.83/135.27 Inuse: 1614
% 134.83/135.27 Deleted: 16394
% 134.83/135.27 Deletedinuse: 349
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 772596
% 134.83/135.27 Kept: 122520
% 134.83/135.27 Inuse: 1632
% 134.83/135.27 Deleted: 16394
% 134.83/135.27 Deletedinuse: 349
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying clauses:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 784382
% 134.83/135.27 Kept: 124592
% 134.83/135.27 Inuse: 1647
% 134.83/135.27 Deleted: 17976
% 134.83/135.27 Deletedinuse: 349
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 815897
% 134.83/135.27 Kept: 128739
% 134.83/135.27 Inuse: 1667
% 134.83/135.27 Deleted: 17976
% 134.83/135.27 Deletedinuse: 349
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 830496
% 134.83/135.27 Kept: 130822
% 134.83/135.27 Inuse: 1682
% 134.83/135.27 Deleted: 17976
% 134.83/135.27 Deletedinuse: 349
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 845240
% 134.83/135.27 Kept: 133541
% 134.83/135.27 Inuse: 1697
% 134.83/135.27 Deleted: 17986
% 134.83/135.27 Deletedinuse: 359
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 859937
% 134.83/135.27 Kept: 135759
% 134.83/135.27 Inuse: 1727
% 134.83/135.27 Deleted: 17999
% 134.83/135.27 Deletedinuse: 372
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 870831
% 134.83/135.27 Kept: 138106
% 134.83/135.27 Inuse: 1742
% 134.83/135.27 Deleted: 17999
% 134.83/135.27 Deletedinuse: 372
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 884060
% 134.83/135.27 Kept: 140369
% 134.83/135.27 Inuse: 1762
% 134.83/135.27 Deleted: 17999
% 134.83/135.27 Deletedinuse: 372
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 906292
% 134.83/135.27 Kept: 142394
% 134.83/135.27 Inuse: 1775
% 134.83/135.27 Deleted: 18000
% 134.83/135.27 Deletedinuse: 373
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying clauses:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 916471
% 134.83/135.27 Kept: 144435
% 134.83/135.27 Inuse: 1791
% 134.83/135.27 Deleted: 19973
% 134.83/135.27 Deletedinuse: 373
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 930671
% 134.83/135.27 Kept: 147186
% 134.83/135.27 Inuse: 1792
% 134.83/135.27 Deleted: 19973
% 134.83/135.27 Deletedinuse: 373
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 944191
% 134.83/135.27 Kept: 149509
% 134.83/135.27 Inuse: 1810
% 134.83/135.27 Deleted: 19985
% 134.83/135.27 Deletedinuse: 373
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 958262
% 134.83/135.27 Kept: 151525
% 134.83/135.27 Inuse: 1833
% 134.83/135.27 Deleted: 19985
% 134.83/135.27 Deletedinuse: 373
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Intermediate Status:
% 134.83/135.27 Generated: 972028
% 134.83/135.27 Kept: 153538
% 134.83/135.27 Inuse: 1853
% 134.83/135.27 Deleted: 19985
% 134.83/135.27 Deletedinuse: 373
% 134.83/135.27
% 134.83/135.27 Resimplifying inuse:
% 134.83/135.27 Done
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 Bliksems!, er is een bewijs:
% 134.83/135.27 % SZS status Unsatisfiable
% 134.83/135.27 % SZS output start Refutation
% 134.83/135.27
% 134.83/135.27 clause( 179, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 134.83/135.27 'c_lessequals'( Y, Z, X ) ) ] )
% 134.83/135.27 .
% 134.83/135.27 clause( 349, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 134.83/135.27 Y, X, 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 .
% 134.83/135.27 clause( 420, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 .
% 134.83/135.27 clause( 435, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 134.83/135.27 'v_c____' ) ) ] )
% 134.83/135.27 .
% 134.83/135.27 clause( 436, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____',
% 134.83/135.27 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 .
% 134.83/135.27 clause( 489, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 .
% 134.83/135.27 clause( 502, [ 'class_RealVector_Oreal__normed__vector'(
% 134.83/135.27 'tc_Complex_Ocomplex' ) ] )
% 134.83/135.27 .
% 134.83/135.27 clause( 39592, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 .
% 134.83/135.27 clause( 40410, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 .
% 134.83/135.27 clause( 155811, [ ~( =( X, 'v_c____' ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 134.83/135.27 ] )
% 134.83/135.27 .
% 134.83/135.27 clause( 155867, [] )
% 134.83/135.27 .
% 134.83/135.27
% 134.83/135.27
% 134.83/135.27 % SZS output end Refutation
% 134.83/135.27 found a proof!
% 134.83/135.27
% 134.83/135.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 134.83/135.27
% 134.83/135.27 initialclauses(
% 134.83/135.27 [ clause( 155869, [ =( 'c_RealVector_Onorm__class_Onorm'( X,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 155870, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 155871, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155872, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 134.83/135.27 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155873, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155874, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155875, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155876, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155877, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 134.83/135.27 X ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155878, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 134.83/135.27 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155879, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155880, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155881, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155882, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155883, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155884, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155885, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155886, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155887, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155888, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 134.83/135.27 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155889, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 155890, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 134.83/135.27 , =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 134.83/135.27 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155891, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155892, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 134.83/135.27 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 155893, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 134.83/135.27 X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155894, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 134.83/135.27 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155895, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 134.83/135.27 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155896, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155897, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155898, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155899, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155900, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155901, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155902, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155903, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 134.83/135.27 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 134.83/135.27 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155904, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 134.83/135.27 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 134.83/135.27 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155905, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 134.83/135.27 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 134.83/135.27 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 134.83/135.27 , clause( 155906, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 134.83/135.27 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 155907, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 134.83/135.27 , clause( 155908, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 134.83/135.27 , clause( 155909, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 134.83/135.27 , clause( 155910, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 134.83/135.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 134.83/135.27 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 155911, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 134.83/135.27 Z, X ) ) ] )
% 134.83/135.27 , clause( 155912, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 134.83/135.27 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 , T, X ) ] )
% 134.83/135.27 , clause( 155913, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 134.83/135.27 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 , T, X ) ] )
% 134.83/135.27 , clause( 155914, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 134.83/135.27 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 155915, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 155916, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 134.83/135.27 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 , Z, X ) ] )
% 134.83/135.27 , clause( 155917, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 134.83/135.27 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 , Z, X ) ] )
% 134.83/135.27 , clause( 155918, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 134.83/135.27 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 134.83/135.27 , Y, X ) ) ] )
% 134.83/135.27 , clause( 155919, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_lessequals'( Z, Y, X ) ) ] )
% 134.83/135.27 , clause( 155920, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 155921, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_lessequals'( Z, Y, X ) ) ] )
% 134.83/135.27 , clause( 155922, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 155923, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 155924, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 155925, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 134.83/135.27 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 Y, T, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 155926, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 134.83/135.27 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 Y, T, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 155927, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 134.83/135.27 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 155928, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 134.83/135.27 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 155929, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 134.83/135.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 134.83/135.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 155930, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 134.83/135.27 , clause( 155931, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 155932, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 155933, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 134.83/135.27 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 X ), T, X ) ) ] )
% 134.83/135.27 , clause( 155934, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 134.83/135.27 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 155935, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 134.83/135.27 X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 155936, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 134.83/135.27 Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 155937, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 134.83/135.27 Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 155938, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 134.83/135.27 X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 155939, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 134.83/135.27 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 134.83/135.27 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 134.83/135.27 ) ) ] )
% 134.83/135.27 , clause( 155940, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 134.83/135.27 , T, X ), X ) ) ] )
% 134.83/135.27 , clause( 155941, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 134.83/135.27 , Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 155942, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 134.83/135.27 , T, X ), X ) ) ] )
% 134.83/135.27 , clause( 155943, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 134.83/135.27 , Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 155944, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 134.83/135.27 , clause( 155945, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 134.83/135.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 155946, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 134.83/135.27 , T, X ), X ) ) ] )
% 134.83/135.27 , clause( 155947, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 134.83/135.27 , Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 155948, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 134.83/135.27 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 134.83/135.27 ) ) ] )
% 134.83/135.27 , clause( 155949, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 134.83/135.27 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 X ), T, X ) ) ] )
% 134.83/135.27 , clause( 155950, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 134.83/135.27 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 134.83/135.27 ) ) ] )
% 134.83/135.27 , clause( 155951, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 134.83/135.27 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 155952, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 134.83/135.27 , clause( 155953, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 155954, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 134.83/135.27 , clause( 155955, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 155956, [ ~( 'class_Orderings_Oorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 134.83/135.27 , clause( 155957, [ ~( 'class_Orderings_Oorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 134.83/135.27 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 134.83/135.27 , clause( 155958, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 134.83/135.27 , clause( 155959, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 134.83/135.27 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 134.83/135.27 , clause( 155960, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 134.83/135.27 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 134.83/135.27 , clause( 155961, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 134.83/135.27 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 134.83/135.27 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1'( Z, X ),
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 155962, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1'( T, X ),
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 155963, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 134.83/135.27 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1'( Z, X
% 134.83/135.27 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 155964, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ] )
% 134.83/135.27 , clause( 155965, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 155966, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 155967, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 155968, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ] )
% 134.83/135.27 , clause( 155969, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ] )
% 134.83/135.27 , clause( 155970, [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z )
% 134.83/135.27 , ~( 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 155971, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 134.83/135.27 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 Y, T, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 155972, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155973, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 155974, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 134.83/135.27 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 155975, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 155976, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 134.83/135.27 ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 155977, [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 134.83/135.27 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 134.83/135.27 , 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 155978, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 155979, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 155980, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X,
% 134.83/135.27 Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 155981, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 155982, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 134.83/135.27 , 'tc_RealDef_Oreal' ), T, X ) ) ] )
% 134.83/135.27 , clause( 155983, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 155984, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 155985, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 155986, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 155987, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 155988, [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 155989, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 134.83/135.27 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Z, X )
% 134.83/135.27 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 155990, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 Z, Y, X ) ) ] )
% 134.83/135.27 , clause( 155991, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 155992, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 Z, Y, X ) ) ] )
% 134.83/135.27 , clause( 155993, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 134.83/135.27 ), X ), Y ) ] )
% 134.83/135.27 , clause( 155994, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 134.83/135.27 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 155995, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 155996, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 155997, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 155998, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 155999, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156000, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 134.83/135.27 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 134.83/135.27 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 134.83/135.27 , clause( 156001, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 134.83/135.27 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 134.83/135.27 =( Y, Z ) ] )
% 134.83/135.27 , clause( 156002, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 134.83/135.27 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156003, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 134.83/135.27 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156004, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156005, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ] )
% 134.83/135.27 , clause( 156006, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 134.83/135.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 134.83/135.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 134.83/135.27 , clause( 156007, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156008, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156009, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156010, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156011, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 134.83/135.27 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156012, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 134.83/135.27 , clause( 156013, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 134.83/135.27 'c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1'( Z, X ),
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156014, [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 134.83/135.27 'c_RealDef_Oreal'( Y, 'tc_nat' ) ) ), =( X, Y ) ] )
% 134.83/135.27 , clause( 156015, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 134.83/135.27 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156016, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156017, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156018, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 134.83/135.27 , clause( 156019, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 134.83/135.27 , clause( 156020, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 134.83/135.27 , clause( 156021, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156022, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 134.83/135.27 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 134.83/135.27 'c_Transcendental_Oexp'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 134.83/135.27 'c_RealVector_Oof__real'( 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal'
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 156023, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156024, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156025, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 134.83/135.27 , clause( 156026, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156027, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156028, [ 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156029, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal'
% 134.83/135.27 ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156030, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 134.83/135.27 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 134.83/135.27 , clause( 156031, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 134.83/135.27 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 134.83/135.27 , clause( 156032, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 134.83/135.27 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 134.83/135.27 , clause( 156033, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156034, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156035, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 134.83/135.27 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 134.83/135.27 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156036, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 134.83/135.27 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 134.83/135.27 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156037, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 134.83/135.27 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 134.83/135.27 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156038, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 134.83/135.27 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 134.83/135.27 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156039, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 134.83/135.27 , clause( 156040, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 134.83/135.27 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 134.83/135.27 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 134.83/135.27 , clause( 156041, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156042, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156043, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156044, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 134.83/135.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156045, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156046, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X )
% 134.83/135.27 , 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156047, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156048, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) )
% 134.83/135.27 ), =( X, Y ) ] )
% 134.83/135.27 , clause( 156049, [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' )
% 134.83/135.27 , 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ] )
% 134.83/135.27 , clause( 156050, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 134.83/135.27 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 134.83/135.27 , clause( 156051, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156052, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156053, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156054, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156055, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156056, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156057, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_RealDef_Oreal'( X,
% 134.83/135.27 'tc_nat' ), 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ) ) ] )
% 134.83/135.27 , clause( 156058, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 134.83/135.27 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 134.83/135.27 , clause( 156059, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 134.83/135.27 , clause( 156060, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 134.83/135.27 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156061, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156062, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156063, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156064, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 134.83/135.27 , clause( 156065, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 134.83/135.27 'c_lessequals'( Y, Z, X ) ) ] )
% 134.83/135.27 , clause( 156066, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156067, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 134.83/135.27 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156068, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 134.83/135.27 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156069, [ ~( 'class_Orderings_Oorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 156070, [ ~( 'class_Orderings_Oorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 134.83/135.27 Z, Y ) ] )
% 134.83/135.27 , clause( 156071, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 134.83/135.27 , clause( 156072, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 134.83/135.27 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 134.83/135.27 , clause( 156073, [ ~( 'class_Orderings_Oorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 134.83/135.27 Y, Z ) ] )
% 134.83/135.27 , clause( 156074, [ ~( 'class_Orderings_Oorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 156075, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 134.83/135.27 , clause( 156076, [ ~( 'class_Orderings_Oorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 156077, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 134.83/135.27 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156078, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 134.83/135.27 , clause( 156079, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 134.83/135.27 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156080, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 134.83/135.27 , clause( 156081, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156082, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 134.83/135.27 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 134.83/135.27 , clause( 156083, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 134.83/135.27 , clause( 156084, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 134.83/135.27 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156085, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ] )
% 134.83/135.27 , clause( 156086, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156087, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 134.83/135.27 , clause( 156088, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 134.83/135.27 , clause( 156089, [ ~( =( 'c_NthRoot_Osqrt'( X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156090, [ ~( =( 'c_Transcendental_Opi',
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ] )
% 134.83/135.27 , clause( 156091, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156092, [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156093, [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 134.83/135.27 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156094, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 134.83/135.27 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ] )
% 134.83/135.27 , clause( 156095, [ 'c_lessequals'( 'c_Transcendental_Oln'( X ),
% 134.83/135.27 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 134.83/135.27 Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156096, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y )
% 134.83/135.27 , 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156097, [ 'c_HOL_Oord__class_Oless'( X,
% 134.83/135.27 'c_RealDef_Oreal__of__preal'( Y ), 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156098, [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X )
% 134.83/135.27 , 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156099, [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'(
% 134.83/135.27 X ), 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156100, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156101, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156102, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156103, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156104, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156105, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156106, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156107, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156108, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 ~( 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 134.83/135.27 Y ), 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156109, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 134.83/135.27 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156110, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156111, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 134.83/135.27 , clause( 156112, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156113, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 134.83/135.27 , Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156114, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 134.83/135.27 , T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156115, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 134.83/135.27 , T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156116, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 134.83/135.27 , Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156117, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156118, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156119, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156120, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156121, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156122, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 134.83/135.27 , clause( 156123, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 134.83/135.27 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 134.83/135.27 , clause( 156124, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156125, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156126, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156127, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156128, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 X ) ) ] )
% 134.83/135.27 , clause( 156129, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 134.83/135.27 , clause( 156130, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156131, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 134.83/135.27 , clause( 156132, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156133, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 156134, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156135, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 134.83/135.27 , clause( 156136, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 134.83/135.27 , clause( 156137, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156138, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156139, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156140, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156141, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156142, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156143, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156144, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156145, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 134.83/135.27 , clause( 156146, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 156147, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 134.83/135.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 134.83/135.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 134.83/135.27 , clause( 156148, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 156149, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156150, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156151, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156152, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156153, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 156154, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156155, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156156, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156157, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 134.83/135.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 134.83/135.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156158, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 134.83/135.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 134.83/135.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156159, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156160, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156161, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156162, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156163, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156164, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156165, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156166, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 134.83/135.27 , clause( 156167, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156168, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156169, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 134.83/135.27 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156170, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 Z, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156171, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 134.83/135.27 T, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156172, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 Z, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156173, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 134.83/135.27 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 134.83/135.27 , X ), T, X ) ) ] )
% 134.83/135.27 , clause( 156174, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 134.83/135.27 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 134.83/135.27 , T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156175, [ =( 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156176, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 134.83/135.27 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 134.83/135.27 , X ), T, X ) ) ] )
% 134.83/135.27 , clause( 156177, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156178, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156179, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156180, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156181, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 134.83/135.27 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 134.83/135.27 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 134.83/135.27 , clause( 156182, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 134.83/135.27 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 134.83/135.27 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 134.83/135.27 , clause( 156183, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ] )
% 134.83/135.27 , clause( 156184, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156185, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( T, X ),
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156186, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 134.83/135.27 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y, X
% 134.83/135.27 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156187, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 134.83/135.27 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ] )
% 134.83/135.27 , clause( 156188, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156189, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156190, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 134.83/135.27 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156191, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 134.83/135.27 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156192, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 134.83/135.27 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156193, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 134.83/135.27 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156194, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 134.83/135.27 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156195, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 134.83/135.27 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156196, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 134.83/135.27 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156197, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156198, [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 134.83/135.27 'tc_RealDef_Oreal' ) ), X ) ] )
% 134.83/135.27 , clause( 156199, [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 134.83/135.27 'tc_RealDef_Oreal' ) ), X ) ] )
% 134.83/135.27 , clause( 156200, [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 134.83/135.27 'tc_RealDef_Oreal' ) ), X ) ] )
% 134.83/135.27 , clause( 156201, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 134.83/135.27 , clause( 156202, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156203, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 134.83/135.27 , clause( 156204, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156205, [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 134.83/135.27 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 134.83/135.27 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ] )
% 134.83/135.27 , clause( 156206, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 134.83/135.27 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'( T,
% 134.83/135.27 Y, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156207, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 134.83/135.27 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156208, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 134.83/135.27 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156209, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'(
% 134.83/135.27 Z, T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156210, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'(
% 134.83/135.27 Z, T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156211, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 134.83/135.27 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156212, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 134.83/135.27 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156213, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 134.83/135.27 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 134.83/135.27 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156214, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 134.83/135.27 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156215, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 134.83/135.27 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 X ) ) ] )
% 134.83/135.27 , clause( 156216, [ ~( =( 'c_NthRoot_Osqrt'( X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156217, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 134.83/135.27 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156218, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156219, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 134.83/135.27 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156220, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 134.83/135.27 ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 134.83/135.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156221, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 156222, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 134.83/135.27 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156223, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) )
% 134.83/135.27 , =( 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X )
% 134.83/135.27 , X ), 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156224, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 134.83/135.27 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 134.83/135.27 , clause( 156225, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156226, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156227, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156228, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 156229, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 156230, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 156231, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ), X ) ) ] )
% 134.83/135.27 , clause( 156232, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 134.83/135.27 ), =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y
% 134.83/135.27 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156233, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 134.83/135.27 , clause( 156234, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 156235, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X
% 134.83/135.27 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 134.83/135.27 , 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156236, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 134.83/135.27 , X ) ) ] )
% 134.83/135.27 , clause( 156237, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 134.83/135.27 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156238, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 134.83/135.27 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156239, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 134.83/135.27 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156240, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 134.83/135.27 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 134.83/135.27 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156241, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 134.83/135.27 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 134.83/135.27 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156242, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156243, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 134.83/135.27 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 134.83/135.27 Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156244, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X,
% 134.83/135.27 X, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156245, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156246, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 134.83/135.27 , clause( 156247, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 134.83/135.27 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 134.83/135.27 , clause( 156248, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 134.83/135.27 , clause( 156249, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156250, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 134.83/135.27 Y, Y, X ) ] )
% 134.83/135.27 , clause( 156251, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 Y, X ) ] )
% 134.83/135.27 , clause( 156252, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156253, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156254, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 134.83/135.27 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156255, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 134.83/135.27 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156256, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 134.83/135.27 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 134.83/135.27 , clause( 156257, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 134.83/135.27 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 134.83/135.27 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 134.83/135.27 , clause( 156258, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 134.83/135.27 ), =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156259, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 134.83/135.27 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 134.83/135.27 , clause( 156260, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.27 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 134.83/135.27 , clause( 156261, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 134.83/135.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156262, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 134.83/135.27 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 134.83/135.27 , clause( 156263, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156264, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156265, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156266, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 134.83/135.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 134.83/135.27 , clause( 156267, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 134.83/135.27 ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 134.83/135.27 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156268, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156269, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156270, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156271, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 134.83/135.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156272, [ ~(
% 134.83/135.27 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 134.83/135.27 , clause( 156273, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156274, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 134.83/135.27 , clause( 156275, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 134.83/135.27 , clause( 156276, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 134.83/135.27 , clause( 156277, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156278, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156279, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 134.83/135.27 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 134.83/135.27 , clause( 156280, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 134.83/135.27 , clause( 156281, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 134.83/135.27 , clause( 156282, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 134.83/135.27 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 X ), T, X ) ) ] )
% 134.83/135.27 , clause( 156283, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156284, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 134.83/135.27 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 134.83/135.27 , clause( 156285, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 134.83/135.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156286, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 134.83/135.27 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 134.83/135.27 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156287, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 134.83/135.27 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156288, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 134.83/135.27 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156289, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156290, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156291, [ 'c_HOL_Oord__class_Oless'( X,
% 134.83/135.27 'c_RealDef_Oreal__of__preal'( Y ), 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), X, 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156292, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156293, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156294, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X
% 134.83/135.27 ), 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156295, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y
% 134.83/135.27 , X ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156296, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1'
% 134.83/135.27 , 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156297, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Y
% 134.83/135.27 , X ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156298, [ ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156299, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1'( Y, X )
% 134.83/135.27 , 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156300, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156301, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156302, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'(
% 134.83/135.27 Y, Z, X ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156303, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ),
% 134.83/135.27 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156304, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ),
% 134.83/135.27 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156305, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1'( X, Y ),
% 134.83/135.27 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156306, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__1__1'( X, Y
% 134.83/135.27 , Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156307, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156308, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156309, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156310, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X )
% 134.83/135.27 , 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156311, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 134.83/135.27 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156312, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ),
% 134.83/135.27 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 134.83/135.27 X, Y ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156313, [ ~( =( 'c_Transcendental_Oln'( X ),
% 134.83/135.27 'c_Transcendental_Oln'( Y ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ] )
% 134.83/135.27 , clause( 156314, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X )
% 134.83/135.27 , X, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156315, [ =( 'c_NthRoot_Oroot'( X, Y ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156316, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1'( Y, X )
% 134.83/135.27 , 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156317, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1'(
% 134.83/135.27 X, Y, Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156318, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ),
% 134.83/135.27 =( Y, Z ) ] )
% 134.83/135.27 , clause( 156319, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 134.83/135.27 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1'( Y, X ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156320, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156321, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1'
% 134.83/135.27 , 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156322, [ ~( =( 'c_NthRoot_Osqrt'( X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156323, [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'(
% 134.83/135.27 X, 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 134.83/135.27 , 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156324, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156325, [ 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ), Y,
% 134.83/135.27 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156326, [ 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ), X,
% 134.83/135.27 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 134.83/135.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156327, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156328, [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X,
% 134.83/135.27 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156329, [ 'c_HOL_Oord__class_Oless'( X,
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 134.83/135.27 ~( 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156330, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 134.83/135.27 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156331, [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156332, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ),
% 134.83/135.27 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1'( X, Y,
% 134.83/135.27 Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156333, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1', 'tc_RealDef_Oreal'
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156334, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( Y, X ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156335, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156336, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 134.83/135.27 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156337, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 134.83/135.27 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156338, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156339, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1'(
% 134.83/135.27 Y, X ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156340, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156341, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156342, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 134.83/135.27 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.83/135.27 , clause( 156343, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156344, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 Y, X ) ) ] )
% 134.83/135.27 , clause( 156345, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 Y, X ) ) ] )
% 134.83/135.27 , clause( 156346, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 Y, X ) ) ] )
% 134.83/135.27 , clause( 156347, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 134.83/135.27 Y, X ) ) ] )
% 134.83/135.27 , clause( 156348, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 134.83/135.27 , clause( 156349, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal'
% 134.83/135.27 ) ) ] )
% 134.83/135.27 , clause( 156350, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 134.83/135.27 , clause( 156351, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 134.83/135.27 , clause( 156352, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156353, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 134.83/135.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156354, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 134.83/135.27 ), =( Z, Y ) ] )
% 134.83/135.27 , clause( 156355, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156356, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156357, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 134.83/135.27 , clause( 156358, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 134.83/135.27 ), =( Z, Y ) ] )
% 134.83/135.27 , clause( 156359, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 134.83/135.27 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 134.83/135.27 ), 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156360, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 134.83/135.27 =( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 134.83/135.27 , clause( 156361, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 134.83/135.27 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156362, [ ~( 'class_Orderings_Oorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 134.83/135.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 134.83/135.27 , clause( 156363, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 134.83/135.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 134.83/135.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 134.83/135.27 , clause( 156364, [ ~( =( 'v_c____', 'c_HOL_Ozero__class_Ozero'(
% 134.83/135.27 'tc_Complex_Ocomplex' ) ) ) ] )
% 134.83/135.27 , clause( 156365, [ ~( 'c_HOL_Oord__class_Oless'(
% 134.83/135.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.83/135.27 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 134.83/135.27 'tc_RealDef_Oreal' ) ) ] )
% 134.83/135.27 , clause( 156366, [
% 134.83/135.27 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 134.83/135.27 )
% 134.83/135.27 , clause( 156367, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 134.83/135.27 'tc_nat' ) ] )
% 134.83/135.27 , clause( 156368, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.27 'tc_nat' ) ] )
% 134.83/135.27 , clause( 156369, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat'
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156370, [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' )
% 134.83/135.27 ] )
% 134.83/135.27 , clause( 156371, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat'
% 134.83/135.27 ) ] )
% 134.83/135.27 , clause( 156372, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 134.83/135.28 ] )
% 134.83/135.28 , clause( 156373, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 134.83/135.28 ] )
% 134.83/135.28 , clause( 156374, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 134.83/135.28 )
% 134.83/135.28 , clause( 156375, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 134.83/135.28 , clause( 156376, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 134.83/135.28 , clause( 156377, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 134.83/135.28 , clause( 156378, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 134.83/135.28 , clause( 156379, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 134.83/135.28 , clause( 156380, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 134.83/135.28 , clause( 156381, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 134.83/135.28 , clause( 156382, [
% 134.83/135.28 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156383, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156384, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156385, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156386, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156387, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156388, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156389, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156390, [ 'class_Ring__and__Field_Opordered__semiring'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156391, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156392, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156393, [ 'class_Ring__and__Field_Oordered__semiring'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156394, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156395, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156396, [ 'class_Ring__and__Field_Oordered__semidom'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156397, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156398, [ 'class_RealVector_Oreal__normed__algebra'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156399, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156400, [ 'class_RealVector_Oreal__normed__vector'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156401, [ 'class_Ring__and__Field_Opordered__ring'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156402, [ 'class_Ring__and__Field_Oordered__field'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156403, [ 'class_Ring__and__Field_Olordered__ring'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156404, [ 'class_Ring__and__Field_Odivision__ring'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156405, [ 'class_RealVector_Oreal__normed__field'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156406, [ 'class_Ring__and__Field_Oordered__idom'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156407, [ 'class_Ring__and__Field_Omult__mono1'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156408, [ 'class_RealVector_Oreal__algebra__1'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156409, [ 'class_Ring__and__Field_Omult__zero'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156410, [ 'class_Ring__and__Field_Omult__mono'(
% 134.83/135.28 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156411, [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' )
% 134.83/135.28 ] )
% 134.83/135.28 , clause( 156412, [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' )
% 134.83/135.28 ] )
% 134.83/135.28 , clause( 156413, [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' )
% 134.83/135.28 ] )
% 134.83/135.28 , clause( 156414, [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' )
% 134.83/135.28 ] )
% 134.83/135.28 , clause( 156415, [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' )
% 134.83/135.28 ] )
% 134.83/135.28 , clause( 156416, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 134.83/135.28 )
% 134.83/135.28 , clause( 156417, [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ]
% 134.83/135.28 )
% 134.83/135.28 , clause( 156418, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156419, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156420, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156421, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156422, [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ] )
% 134.83/135.28 , clause( 156423, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 134.83/135.28 'tc_Complex_Ocomplex' ) ] )
% 134.83/135.28 , clause( 156424, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 134.83/135.28 'tc_Complex_Ocomplex' ) ] )
% 134.83/135.28 , clause( 156425, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 134.83/135.28 'tc_Complex_Ocomplex' ) ] )
% 134.83/135.28 , clause( 156426, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 134.83/135.28 'tc_Complex_Ocomplex' ) ] )
% 134.83/135.28 , clause( 156427, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 134.83/135.28 'tc_Complex_Ocomplex' ) ] )
% 134.83/135.28 , clause( 156428, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 134.83/135.28 'tc_Complex_Ocomplex' ) ] )
% 134.83/135.28 , clause( 156429, [ 'class_RealVector_Oreal__normed__algebra'(
% 134.83/135.28 'tc_Complex_Ocomplex' ) ] )
% 134.83/135.28 , clause( 156430, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 134.83/135.28 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , clause( 156431, [ 'class_RealVector_Oreal__normed__vector'(
% 134.91/135.29 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , clause( 156432, [ 'class_Ring__and__Field_Odivision__ring'(
% 134.91/135.29 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , clause( 156433, [ 'class_RealVector_Oreal__normed__field'(
% 134.91/135.29 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , clause( 156434, [ 'class_RealVector_Oreal__algebra__1'(
% 134.91/135.29 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , clause( 156435, [ 'class_Ring__and__Field_Omult__zero'(
% 134.91/135.29 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , clause( 156436, [ 'class_RealVector_Oreal__algebra'(
% 134.91/135.29 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , clause( 156437, [ 'class_RealVector_Ometric__space'(
% 134.91/135.29 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , clause( 156438, [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex'
% 134.91/135.29 ) ] )
% 134.91/135.29 , clause( 156439, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 134.91/135.29 ) ] )
% 134.91/135.29 , clause( 156440, [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' )
% 134.91/135.29 ] )
% 134.91/135.29 , clause( 156441, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , clause( 156442, [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 ] ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 subsumption(
% 134.91/135.29 clause( 179, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 134.91/135.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 134.91/135.29 'c_lessequals'( Y, Z, X ) ) ] )
% 134.91/135.29 , clause( 156065, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 134.91/135.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 134.91/135.29 'c_lessequals'( Y, Z, X ) ) ] )
% 134.91/135.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 134.91/135.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 134.91/135.29 ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 subsumption(
% 134.91/135.29 clause( 349, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 134.91/135.29 Y, X, 'tc_RealDef_Oreal' ) ] )
% 134.91/135.29 , clause( 156263, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 134.91/135.29 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 134.91/135.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 134.91/135.29 ), ==>( 1, 1 )] ) ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 subsumption(
% 134.91/135.29 clause( 420, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 134.91/135.29 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , clause( 156343, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 134.91/135.29 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 134.91/135.29 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 eqswap(
% 134.91/135.29 clause( 158129, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 134.91/135.29 , 'v_c____' ) ) ] )
% 134.91/135.29 , clause( 156364, [ ~( =( 'v_c____', 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_Complex_Ocomplex' ) ) ) ] )
% 134.91/135.29 , 0, substitution( 0, [] )).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 subsumption(
% 134.91/135.29 clause( 435, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 134.91/135.29 'v_c____' ) ) ] )
% 134.91/135.29 , clause( 158129, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 134.91/135.29 ), 'v_c____' ) ) ] )
% 134.91/135.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 subsumption(
% 134.91/135.29 clause( 436, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____',
% 134.91/135.29 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , clause( 156365, [ ~( 'c_HOL_Oord__class_Oless'(
% 134.91/135.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 134.91/135.29 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 subsumption(
% 134.91/135.29 clause( 489, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 134.91/135.29 , clause( 156418, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 134.91/135.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 subsumption(
% 134.91/135.29 clause( 502, [ 'class_RealVector_Oreal__normed__vector'(
% 134.91/135.29 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , clause( 156431, [ 'class_RealVector_Oreal__normed__vector'(
% 134.91/135.29 'tc_Complex_Ocomplex' ) ] )
% 134.91/135.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 resolution(
% 134.91/135.29 clause( 159690, [ ~( 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ),
% 134.91/135.29 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_c____',
% 134.91/135.29 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 134.91/135.29 , 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____',
% 134.91/135.29 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , clause( 436, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____',
% 134.91/135.29 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , 0, clause( 179, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 134.91/135.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 134.91/135.29 'c_lessequals'( Y, Z, X ) ) ] )
% 134.91/135.29 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'tc_RealDef_Oreal' )
% 134.91/135.29 , :=( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), :=( Z,
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ) )] )
% 134.91/135.29 ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 resolution(
% 134.91/135.29 clause( 159691, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.91/135.29 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 134.91/135.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 134.91/135.29 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , clause( 159690, [ ~( 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) )
% 134.91/135.29 , 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_c____',
% 134.91/135.29 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 134.91/135.29 , 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____',
% 134.91/135.29 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , 0, clause( 489, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 134.91/135.29 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 subsumption(
% 134.91/135.29 clause( 39592, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.91/135.29 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 134.91/135.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 134.91/135.29 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , clause( 159691, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.91/135.29 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 134.91/135.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 134.91/135.29 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 134.91/135.29 ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 resolution(
% 134.91/135.29 clause( 159692, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.91/135.29 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 134.91/135.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 134.91/135.29 )
% 134.91/135.29 , clause( 39592, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.91/135.29 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 134.91/135.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 134.91/135.29 'tc_RealDef_Oreal' ) ) ] )
% 134.91/135.29 , 1, clause( 349, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 134.91/135.29 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 134.91/135.29 , 0, substitution( 0, [] ), substitution( 1, [ :=( X,
% 134.91/135.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), :=( Y,
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ) )] )
% 134.91/135.29 ).
% 134.91/135.29
% 134.91/135.29
% 134.91/135.29 factor(
% 134.91/135.29 clause( 159693, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.91/135.29 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 134.91/135.29 , clause( 159692, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 134.91/135.29 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 134.91/135.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 134.91/135.29 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 147.16/147.54 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 147.16/147.54 )
% 147.16/147.54 , 0, 1, substitution( 0, [] )).
% 147.16/147.54
% 147.16/147.54
% 147.16/147.54 subsumption(
% 147.16/147.54 clause( 40410, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 147.16/147.54 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 147.16/147.54 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 147.16/147.54 , clause( 159693, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 147.16/147.54 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 147.16/147.54 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 147.16/147.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 147.16/147.54
% 147.16/147.54
% 147.16/147.54 eqswap(
% 147.16/147.54 clause( 159694, [ =( 'c_HOL_Ozero__class_Ozero'( Y ), X ), ~(
% 147.16/147.54 'class_RealVector_Oreal__normed__vector'( Y ) ), ~( 'c_lessequals'(
% 147.16/147.54 'c_RealVector_Onorm__class_Onorm'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 147.16/147.54 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 147.16/147.54 , clause( 420, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 147.16/147.54 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 147.16/147.54 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 147.16/147.54 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 147.16/147.54 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 147.16/147.54
% 147.16/147.54
% 147.16/147.54 eqswap(
% 147.16/147.54 clause( 159695, [ ~( =( 'v_c____', 'c_HOL_Ozero__class_Ozero'(
% 147.16/147.54 'tc_Complex_Ocomplex' ) ) ) ] )
% 147.16/147.54 , clause( 435, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 147.16/147.54 , 'v_c____' ) ) ] )
% 147.16/147.54 , 0, substitution( 0, [] )).
% 147.16/147.54
% 147.16/147.54
% 147.16/147.54 paramod(
% 147.16/147.54 clause( 159696, [ ~( =( 'v_c____', X ) ), ~(
% 147.16/147.54 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ), ~(
% 147.16/147.54 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 147.16/147.54 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 147.16/147.54 , 'tc_RealDef_Oreal' ) ) ] )
% 147.16/147.54 , clause( 159694, [ =( 'c_HOL_Ozero__class_Ozero'( Y ), X ), ~(
% 147.16/147.54 'class_RealVector_Oreal__normed__vector'( Y ) ), ~( 'c_lessequals'(
% 147.16/147.54 'c_RealVector_Onorm__class_Onorm'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 147.16/147.54 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 147.16/147.54 , 0, clause( 159695, [ ~( =( 'v_c____', 'c_HOL_Ozero__class_Ozero'(
% 147.16/147.54 'tc_Complex_Ocomplex' ) ) ) ] )
% 147.16/147.54 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, 'tc_Complex_Ocomplex' )] ),
% 147.16/147.54 substitution( 1, [] )).
% 147.16/147.54
% 147.16/147.54
% 147.16/147.54 resolution(
% 147.16/147.54 clause( 167052, [ ~( =( 'v_c____', X ) ), ~( 'c_lessequals'(
% 147.16/147.54 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 147.16/147.54 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 147.16/147.54 ] )
% 147.16/147.54 , clause( 159696, [ ~( =( 'v_c____', X ) ), ~(
% 147.16/147.54 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ), ~(
% 147.16/147.54 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 147.16/147.54 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 147.16/147.54 , 'tc_RealDef_Oreal' ) ) ] )
% 147.16/147.54 , 1, clause( 502, [ 'class_RealVector_Oreal__normed__vector'(
% 147.16/147.54 'tc_Complex_Ocomplex' ) ] )
% 147.16/147.54 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 147.16/147.54
% 147.16/147.54
% 147.16/147.54 eqswap(
% 147.16/147.54 clause( 167053, [ ~( =( X, 'v_c____' ) ), ~( 'c_lessequals'(
% 147.16/147.54 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 147.16/147.54 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 147.16/147.54 ] )
% 147.16/147.54 , clause( 167052, [ ~( =( 'v_c____', X ) ), ~( 'c_lessequals'(
% 147.16/147.54 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 147.16/147.54 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 147.16/147.54 ] )
% 147.16/147.54 , 0, substitution( 0, [ :=( X, X )] )).
% 147.16/147.54
% 147.16/147.54
% 147.16/147.54 subsumption(
% 147.16/147.54 clause( 155811, [ ~( =( X, 'v_c____' ) ), ~( 'c_lessequals'(
% 147.16/147.54 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 147.16/147.54 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 147.16/147.54 ] )
% 147.16/147.54 , clause( 167053, [ ~( =( X, 'v_c____' ) ), ~( 'c_lessequals'(
% 147.16/147.54 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 147.16/147.54 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 147.16/147.54 ] )
% 147.16/147.54 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 147.16/147.54 1 )] ) ).
% 147.16/147.54
% 147.16/147.54
% 147.16/147.54 eqswap(
% 147.16/147.54 clause( 167054, [ ~( =( 'v_c____', X ) ), ~( 'c_lessequals'(
% 147.16/147.54 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 147.16/147.54 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 147.16/147.54 ] )
% 147.16/147.54 , clause( 155811, [ ~( =( X, 'v_c____' ) ), ~( 'c_lessequals'(
% 147.18/147.55 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 147.18/147.55 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 147.18/147.55 ] )
% 147.18/147.55 , 0, substitution( 0, [ :=( X, X )] )).
% 147.18/147.55
% 147.18/147.55
% 147.18/147.55 eqrefl(
% 147.18/147.55 clause( 167055, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 147.18/147.55 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 147.18/147.55 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 147.18/147.55 , clause( 167054, [ ~( =( 'v_c____', X ) ), ~( 'c_lessequals'(
% 147.18/147.55 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 147.18/147.55 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 147.18/147.55 ] )
% 147.18/147.55 , 0, substitution( 0, [ :=( X, 'v_c____' )] )).
% 147.18/147.55
% 147.18/147.55
% 147.18/147.55 resolution(
% 147.18/147.55 clause( 167056, [] )
% 147.18/147.55 , clause( 167055, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 147.18/147.55 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 147.18/147.55 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 147.18/147.55 , 0, clause( 40410, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 147.18/147.55 'v_c____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 147.18/147.55 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 147.18/147.55 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 147.18/147.55
% 147.18/147.55
% 147.18/147.55 subsumption(
% 147.18/147.55 clause( 155867, [] )
% 147.18/147.55 , clause( 167056, [] )
% 147.18/147.55 , substitution( 0, [] ), permutation( 0, [] ) ).
% 147.18/147.55
% 147.18/147.55
% 147.18/147.55 end.
% 147.18/147.55
% 147.18/147.55 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 147.18/147.55
% 147.18/147.55 Memory use:
% 147.18/147.55
% 147.18/147.55 space for terms: 4351243
% 147.18/147.55 space for clauses: 6781471
% 147.18/147.55
% 147.18/147.55
% 147.18/147.55 clauses generated: 984814
% 147.18/147.55 clauses kept: 155868
% 147.18/147.55 clauses selected: 1865
% 147.18/147.55 clauses deleted: 19985
% 147.18/147.55 clauses inuse deleted: 373
% 147.18/147.55
% 147.18/147.55 subsentry: 12088506
% 147.18/147.55 literals s-matched: 6395395
% 147.18/147.55 literals matched: 5573945
% 147.18/147.55 full subsumption: 4463942
% 147.18/147.55
% 147.18/147.55 checksum: 951761171
% 147.18/147.55
% 147.18/147.55
% 147.18/147.55 Bliksem ended
%------------------------------------------------------------------------------