TSTP Solution File: ALG373-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG373-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:35 EDT 2022
% Result : Unsatisfiable 18.29s 18.72s
% Output : Refutation 18.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG373-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Thu Jun 9 05:28:21 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.80/1.20 *** allocated 10000 integers for termspace/termends
% 0.80/1.20 *** allocated 10000 integers for clauses
% 0.80/1.20 *** allocated 10000 integers for justifications
% 0.80/1.20 Bliksem 1.12
% 0.80/1.20
% 0.80/1.20
% 0.80/1.20 Automatic Strategy Selection
% 0.80/1.20
% 0.80/1.20 Clauses:
% 0.80/1.20 [
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y
% 0.80/1.20 , X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Y
% 0.80/1.20 , X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'(
% 0.80/1.20 Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( Y, X ),
% 0.80/1.20 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Y,
% 0.80/1.20 X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 0.80/1.20 , X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( Y, X ),
% 0.80/1.20 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1'(
% 0.80/1.20 Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.80/1.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.80/1.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.80/1.20 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.80/1.20 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.80/1.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.80/1.20 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.80/1.20 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.80/1.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.80/1.20 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.20 ), X ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.80/1.20 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.80/1.20 =( Y, Z ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.80/1.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.20 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.80/1.20 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.80/1.20 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1'(
% 0.80/1.20 T, Y, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.80/1.20 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'( T,
% 0.80/1.20 Y, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.80/1.20 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__XscaleR__right__Xbounded__1__1'( T, Y, X
% 0.80/1.20 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.20 Y, X ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'(
% 0.80/1.20 Z, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.20 Z, X ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 0.80/1.20 , X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( T, X ),
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.20 Z, X ), 'c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1'( Y
% 0.80/1.20 , X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.20 Y, X ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Z,
% 0.80/1.20 X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( T, X ),
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.20 Z, X ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y, X
% 0.80/1.20 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.20 Y, X ), 'c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1'( Z,
% 0.80/1.20 X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1'( T, X ),
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.80/1.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.80/1.20 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.20 ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.80/1.20 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.20 , Y, X ) ) ],
% 0.80/1.20 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.20 , Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.20 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.21 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.21 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.80/1.21 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.80/1.21 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.21 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.80/1.21 , X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.21 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 Y, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 , Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.80/1.21 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.80/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.80/1.21 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.80/1.21 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.80/1.21 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.80/1.21 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.21 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.21 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.21 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.21 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.21 ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.21 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.21 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.21 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.21 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.21 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.21 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.80/1.21 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.21 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.80/1.21 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.21 T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.21 X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.21 T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.21 T, X ), X ) ) ],
% 0.80/1.21 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.21 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.21 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.80/1.21 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ),
% 0.80/1.21 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.80/1.21 X, Y ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.80/1.21 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.80/1.21 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.80/1.21 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.80/1.21 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.80/1.21 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.80/1.21 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.80/1.21 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.80/1.21 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.80/1.21 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.21 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.21 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.80/1.21 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.21 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.21 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Y, X ), X ) ) ],
% 0.80/1.21 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.21 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 Y, X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.80/1.21 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.21 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.21 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.21 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.80/1.21 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 0.80/1.21 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.80/1.21 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.21 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.21 'c_Polynomial_Opoly'( 'v_p', 'v_sko__unknown__thm__rW8__1'( 'v_p', 'v_r'
% 0.80/1.21 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p', X,
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'v_r',
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 0.80/1.21 'v_sko__local__Xmth1__2'( 'v_p', 'v_r' ), 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'v_sko__local__Xmth1__1'( 'v_p', 'v_r' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.21 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.80/1.21 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.21 'v_sko__local__Xmth1__2'( 'v_p', 'v_r' ), 'tc_Complex_Ocomplex' ), 'v_r'
% 0.80/1.21 , 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.80/1.21 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.21 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.21 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.80/1.21 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.80/1.21 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.21 ), =( Z, Y ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.80/1.21 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.80/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.80/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.80/1.21 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.21 , X ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.21 , X ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.21 , X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.21 , X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.80/1.21 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ), Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ), Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ), Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 0.80/1.21 X, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ) ) ), ~(
% 0.80/1.21 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'(
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_xa'( X ),
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 0.80/1.21 'v_xa'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'( X ), X, 'tc_RealDef_Oreal' ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.21 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.80/1.21 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.80/1.21 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Int_Oring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.21 [ 'class_Int_Onumber'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ]
% 0.80/1.21 ] .
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 percentage equality = 0.145038, percentage horn = 0.904545
% 0.80/1.21 This is a problem with some equality
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Options Used:
% 0.80/1.21
% 0.80/1.21 useres = 1
% 0.80/1.21 useparamod = 1
% 0.80/1.21 useeqrefl = 1
% 0.80/1.21 useeqfact = 1
% 0.80/1.21 usefactor = 1
% 0.80/1.21 usesimpsplitting = 0
% 0.80/1.21 usesimpdemod = 5
% 0.80/1.21 usesimpres = 3
% 0.80/1.21
% 0.80/1.21 resimpinuse = 1000
% 0.80/1.21 resimpclauses = 20000
% 0.80/1.21 substype = eqrewr
% 0.80/1.21 backwardsubs = 1
% 0.80/1.21 selectoldest = 5
% 0.80/1.21
% 0.80/1.21 litorderings [0] = split
% 0.80/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.21
% 0.80/1.21 termordering = kbo
% 0.80/1.21
% 0.80/1.21 litapriori = 0
% 0.80/1.21 termapriori = 1
% 0.80/1.21 litaposteriori = 0
% 0.80/1.21 termaposteriori = 0
% 0.80/1.21 demodaposteriori = 0
% 0.80/1.21 ordereqreflfact = 0
% 0.80/1.21
% 0.80/1.21 litselect = negord
% 0.80/1.21
% 0.80/1.21 maxweight = 15
% 0.80/1.21 maxdepth = 30000
% 0.80/1.21 maxlength = 115
% 0.80/1.21 maxnrvars = 195
% 0.80/1.21 excuselevel = 1
% 0.80/1.21 increasemaxweight = 1
% 0.80/1.21
% 0.80/1.21 maxselected = 10000000
% 0.80/1.21 maxnrclauses = 10000000
% 0.80/1.21
% 0.80/1.21 showgenerated = 0
% 0.80/1.21 showkept = 0
% 0.80/1.21 showselected = 0
% 0.80/1.21 showdeleted = 0
% 0.80/1.21 showresimp = 1
% 0.80/1.21 showstatus = 2000
% 0.80/1.21
% 0.80/1.21 prologoutput = 1
% 0.80/1.21 nrgoals = 5000000
% 0.80/1.21 totalproof = 1
% 0.80/1.21
% 0.80/1.21 Symbols occurring in the translation:
% 0.80/1.21
% 0.80/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.21 . [1, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.80/1.21 ! [4, 1] (w:0, o:49, a:1, s:1, b:0),
% 0.80/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.21 'class_RealVector_Oreal__normed__algebra' [40, 1] (w:1, o:54, a:1, s:
% 0.80/1.21 1, b:0),
% 0.80/1.21 'tc_RealDef_Oreal' [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.80/1.21 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1' [44, 2
% 0.80/1.21 ] (w:1, o:130, a:1, s:1, b:0),
% 0.80/1.21 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:148, a:1, s:1, b:0),
% 0.80/1.21 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1' [47, 2
% 0.80/1.21 ] (w:1, o:131, a:1, s:1, b:0),
% 0.80/1.21 'class_RealVector_Oreal__normed__vector' [48, 1] (w:1, o:56, a:1, s:1
% 0.80/1.21 , b:0),
% 0.80/1.21 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1' [51,
% 0.80/1.21 3] (w:1, o:149, a:1, s:1, b:0),
% 0.80/1.21 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1' [53, 2]
% 0.80/1.21 (w:1, o:132, a:1, s:1, b:0),
% 0.80/1.21 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1' [54,
% 0.80/1.21 2] (w:1, o:133, a:1, s:1, b:0),
% 0.80/1.21 'c_lessequals' [55, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.80/1.21 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1' [56
% 0.80/1.21 , 2] (w:1, o:134, a:1, s:1, b:0),
% 0.80/1.21 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1' [58, 2
% 0.80/1.21 ] (w:1, o:135, a:1, s:1, b:0),
% 0.80/1.21 'c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1' [
% 0.80/1.21 60, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.80/1.21 'class_Orderings_Olinorder' [61, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.80/1.21 'class_Int_Onumber' [62, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.80/1.21 'c_Int_Onumber__class_Onumber__of' [64, 2] (w:1, o:138, a:1, s:1, b:0
% 0.80/1.21 ),
% 0.80/1.21 'class_Int_Oring__char__0' [66, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.80/1.21 'class_Int_Onumber__ring' [67, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.80/1.21 'class_Ring__and__Field_Oordered__idom' [68, 1] (w:1, o:65, a:1, s:1
% 0.80/1.21 , b:0),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs' [69, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.80/1.21 'class_RealVector_Oreal__algebra__1' [70, 1] (w:1, o:66, a:1, s:1, b:
% 0.80/1.21 0),
% 0.80/1.21 'c_RealVector_Oof__real' [71, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm' [72, 2] (w:1, o:139, a:1, s:1, b:0)
% 0.80/1.21 ,
% 0.80/1.21 'class_Ring__and__Field_Ono__zero__divisors' [73, 1] (w:1, o:64, a:1
% 0.80/1.21 , s:1, b:0),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes' [76, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.80/1.21 'class_Ring__and__Field_Oring__no__zero__divisors' [77, 1] (w:1, o:67
% 0.80/1.21 , a:1, s:1, b:0),
% 0.80/1.21 'class_Ring__and__Field_Oordered__ring__strict' [78, 1] (w:1, o:68
% 0.80/1.21 , a:1, s:1, b:0),
% 0.80/1.21 'class_Ring__and__Field_Oordered__semiring__strict' [79, 1] (w:1, o:
% 0.80/1.21 69, a:1, s:1, b:0),
% 0.80/1.21 'class_Ring__and__Field_Ocomm__semiring__1' [80, 1] (w:1, o:73, a:1
% 7.49/7.90 , s:1, b:0),
% 7.49/7.90 'class_OrderedGroup_Opordered__ab__group__add__abs' [85, 1] (w:1, o:
% 7.49/7.90 75, a:1, s:1, b:0),
% 7.49/7.90 'class_Ring__and__Field_Opordered__ring__abs' [86, 1] (w:1, o:78, a:1
% 7.49/7.90 , s:1, b:0),
% 7.49/7.90 'c_RealVector_OscaleR__class_OscaleR' [88, 3] (w:1, o:153, a:1, s:1
% 7.49/7.90 , b:0),
% 7.49/7.90 'c_RealVector_Osko__RealVector__XscaleR__right__Xbounded__1__1' [90, 3
% 7.49/7.90 ] (w:1, o:154, a:1, s:1, b:0),
% 7.49/7.90 'c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1' [91, 2
% 7.49/7.90 ] (w:1, o:141, a:1, s:1, b:0),
% 7.49/7.90 'c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1' [92, 2]
% 7.49/7.90 (w:1, o:142, a:1, s:1, b:0),
% 7.49/7.90 'c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1' [94, 2] (w:1
% 7.49/7.90 , o:143, a:1, s:1, b:0),
% 7.49/7.90 'c_HOL_Ouminus__class_Ouminus' [95, 2] (w:1, o:137, a:1, s:1, b:0),
% 7.49/7.90 'class_Ring__and__Field_Olordered__ring' [96, 1] (w:1, o:79, a:1, s:1
% 7.49/7.90 , b:0),
% 7.49/7.90 'class_RealVector_Oreal__vector' [100, 1] (w:1, o:80, a:1, s:1, b:0)
% 7.49/7.90 ,
% 7.49/7.90 'class_Ring__and__Field_Oordered__comm__semiring__strict' [101, 1]
% 7.49/7.90 (w:1, o:76, a:1, s:1, b:0),
% 7.49/7.90 'class_Ring__and__Field_Oordered__semiring' [102, 1] (w:1, o:77, a:1
% 7.49/7.90 , s:1, b:0),
% 7.49/7.90 'class_Ring__and__Field_Oabs__if' [103, 1] (w:1, o:81, a:1, s:1, b:0)
% 7.49/7.90 ,
% 7.49/7.90 'class_OrderedGroup_Olordered__ab__group__add__abs' [104, 1] (w:1, o:
% 7.49/7.90 82, a:1, s:1, b:0),
% 7.49/7.90 'class_OrderedGroup_Oordered__ab__group__add' [105, 1] (w:1, o:74, a:
% 7.49/7.90 1, s:1, b:0),
% 7.49/7.90 'class_OrderedGroup_Ogroup__add' [106, 1] (w:1, o:83, a:1, s:1, b:0)
% 7.49/7.90 ,
% 7.49/7.90 'class_Ring__and__Field_Oring' [107, 1] (w:1, o:84, a:1, s:1, b:0),
% 7.49/7.90 'class_Ring__and__Field_Oidom' [108, 1] (w:1, o:85, a:1, s:1, b:0),
% 7.49/7.90 'c_Complex_ORe' [111, 1] (w:1, o:86, a:1, s:1, b:0),
% 7.49/7.90 'tc_Complex_Ocomplex' [112, 0] (w:1, o:39, a:1, s:1, b:0),
% 7.49/7.90 'class_OrderedGroup_Opordered__ab__group__add' [113, 1] (w:1, o:87
% 7.49/7.90 , a:1, s:1, b:0),
% 7.49/7.90 'class_OrderedGroup_Olordered__ab__group__add' [114, 1] (w:1, o:88
% 7.49/7.90 , a:1, s:1, b:0),
% 7.49/7.90 'class_OrderedGroup_Oab__semigroup__idem__mult' [115, 1] (w:1, o:89
% 7.49/7.90 , a:1, s:1, b:0),
% 7.49/7.90 'class_Ring__and__Field_Omult__mono1' [116, 1] (w:1, o:61, a:1, s:1
% 7.49/7.90 , b:0),
% 7.49/7.90 'class_Ring__and__Field_Omult__mono' [117, 1] (w:1, o:62, a:1, s:1
% 7.49/7.90 , b:0),
% 7.49/7.90 'class_Ring__and__Field_Opordered__ring' [118, 1] (w:1, o:90, a:1, s:
% 7.49/7.90 1, b:0),
% 7.49/7.90 'class_Ring__and__Field_Opordered__cancel__semiring' [119, 1] (w:1
% 7.49/7.90 , o:91, a:1, s:1, b:0),
% 7.49/7.90 'class_OrderedGroup_Oab__semigroup__mult' [120, 1] (w:1, o:92, a:1
% 7.49/7.90 , s:1, b:0),
% 7.49/7.90 'class_Ring__and__Field_Opordered__semiring' [124, 1] (w:1, o:93, a:1
% 7.49/7.90 , s:1, b:0),
% 7.49/7.90 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 7.49/7.90 [126, 2] (w:1, o:144, a:1, s:1, b:0),
% 7.49/7.90 'class_RealVector_Oreal__algebra' [127, 1] (w:1, o:94, a:1, s:1, b:0)
% 7.49/7.90 ,
% 7.49/7.90 'class_RealVector_Oreal__normed__algebra__1' [128, 1] (w:1, o:95, a:1
% 7.49/7.90 , s:1, b:0),
% 7.49/7.90 'class_RealVector_Oreal__normed__div__algebra' [130, 1] (w:1, o:96
% 7.49/7.90 , a:1, s:1, b:0),
% 7.49/7.90 'class_Ring__and__Field_Omult__zero' [131, 1] (w:1, o:63, a:1, s:1
% 7.49/7.90 , b:0),
% 7.49/7.90 'class_Ring__and__Field_Ocomm__ring' [133, 1] (w:1, o:70, a:1, s:1
% 7.49/7.90 , b:0),
% 7.49/7.90 'tc_Polynomial_Opoly' [134, 1] (w:1, o:97, a:1, s:1, b:0),
% 7.49/7.90 'c_Polynomial_Opoly' [135, 3] (w:1, o:155, a:1, s:1, b:0),
% 7.49/7.90 'v_r' [136, 0] (w:1, o:44, a:1, s:1, b:0),
% 7.49/7.90 'v_p' [137, 0] (w:1, o:45, a:1, s:1, b:0),
% 7.49/7.90 'v_sko__unknown__thm__rW8__1' [138, 2] (w:1, o:145, a:1, s:1, b:0),
% 7.49/7.90 'v_sko__local__Xmth1__2' [139, 2] (w:1, o:147, a:1, s:1, b:0),
% 7.49/7.90 'v_sko__local__Xmth1__1' [140, 2] (w:1, o:146, a:1, s:1, b:0),
% 7.49/7.90 'class_Orderings_Oorder' [141, 1] (w:1, o:98, a:1, s:1, b:0),
% 7.49/7.90 'class_Orderings_Opreorder' [142, 1] (w:1, o:99, a:1, s:1, b:0),
% 7.49/7.90 'class_Lattices_Oboolean__algebra' [146, 1] (w:1, o:100, a:1, s:1, b:
% 7.49/7.90 0),
% 7.49/7.90 'c_HOL_Oone__class_Oone' [147, 1] (w:1, o:101, a:1, s:1, b:0),
% 7.49/7.90 'v_xa' [149, 1] (w:1, o:102, a:1, s:1, b:0),
% 7.49/7.90 'v_x' [150, 1] (w:1, o:103, a:1, s:1, b:0),
% 7.49/7.90 'class_Ring__and__Field_Ocomm__semiring__0' [152, 1] (w:1, o:72, a:1
% 7.49/7.90 , s:1, b:0),
% 18.29/18.71 'class_OrderedGroup_Oab__group__add' [153, 1] (w:1, o:104, a:1, s:1
% 18.29/18.71 , b:0),
% 18.29/18.71 'class_Ring__and__Field_Ocomm__ring__1' [154, 1] (w:1, o:71, a:1, s:1
% 18.29/18.71 , b:0),
% 18.29/18.71 'tc_Int_Oint' [155, 0] (w:1, o:48, a:1, s:1, b:0).
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Starting Search:
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 4725
% 18.29/18.71 Kept: 2032
% 18.29/18.71 Inuse: 130
% 18.29/18.71 Deleted: 6
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 9781
% 18.29/18.71 Kept: 4033
% 18.29/18.71 Inuse: 243
% 18.29/18.71 Deleted: 6
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 15464
% 18.29/18.71 Kept: 6044
% 18.29/18.71 Inuse: 348
% 18.29/18.71 Deleted: 6
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 21573
% 18.29/18.71 Kept: 8098
% 18.29/18.71 Inuse: 415
% 18.29/18.71 Deleted: 6
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 28382
% 18.29/18.71 Kept: 10871
% 18.29/18.71 Inuse: 508
% 18.29/18.71 Deleted: 8
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 37820
% 18.29/18.71 Kept: 13619
% 18.29/18.71 Inuse: 523
% 18.29/18.71 Deleted: 8
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 44832
% 18.29/18.71 Kept: 16177
% 18.29/18.71 Inuse: 572
% 18.29/18.71 Deleted: 9
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 50066
% 18.29/18.71 Kept: 18181
% 18.29/18.71 Inuse: 599
% 18.29/18.71 Deleted: 10
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying clauses:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 57457
% 18.29/18.71 Kept: 20184
% 18.29/18.71 Inuse: 661
% 18.29/18.71 Deleted: 217
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 67143
% 18.29/18.71 Kept: 22188
% 18.29/18.71 Inuse: 736
% 18.29/18.71 Deleted: 217
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 72026
% 18.29/18.71 Kept: 24196
% 18.29/18.71 Inuse: 751
% 18.29/18.71 Deleted: 217
% 18.29/18.71 Deletedinuse: 0
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 86187
% 18.29/18.71 Kept: 26203
% 18.29/18.71 Inuse: 826
% 18.29/18.71 Deleted: 221
% 18.29/18.71 Deletedinuse: 3
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 100457
% 18.29/18.71 Kept: 28764
% 18.29/18.71 Inuse: 839
% 18.29/18.71 Deleted: 236
% 18.29/18.71 Deletedinuse: 7
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 115516
% 18.29/18.71 Kept: 30798
% 18.29/18.71 Inuse: 848
% 18.29/18.71 Deleted: 262
% 18.29/18.71 Deletedinuse: 7
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 124752
% 18.29/18.71 Kept: 33298
% 18.29/18.71 Inuse: 856
% 18.29/18.71 Deleted: 295
% 18.29/18.71 Deletedinuse: 8
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 154683
% 18.29/18.71 Kept: 36321
% 18.29/18.71 Inuse: 865
% 18.29/18.71 Deleted: 321
% 18.29/18.71 Deletedinuse: 8
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 162552
% 18.29/18.71 Kept: 39172
% 18.29/18.71 Inuse: 884
% 18.29/18.71 Deleted: 339
% 18.29/18.71 Deletedinuse: 8
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying clauses:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 174469
% 18.29/18.71 Kept: 42394
% 18.29/18.71 Inuse: 922
% 18.29/18.71 Deleted: 1553
% 18.29/18.71 Deletedinuse: 8
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 197410
% 18.29/18.71 Kept: 44864
% 18.29/18.71 Inuse: 932
% 18.29/18.71 Deleted: 1553
% 18.29/18.71 Deletedinuse: 8
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 218175
% 18.29/18.71 Kept: 47086
% 18.29/18.71 Inuse: 947
% 18.29/18.71 Deleted: 1553
% 18.29/18.71 Deletedinuse: 8
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 227464
% 18.29/18.71 Kept: 49372
% 18.29/18.71 Inuse: 962
% 18.29/18.71 Deleted: 1553
% 18.29/18.71 Deletedinuse: 8
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 240433
% 18.29/18.71 Kept: 51376
% 18.29/18.71 Inuse: 1013
% 18.29/18.71 Deleted: 1553
% 18.29/18.71 Deletedinuse: 8
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 255229
% 18.29/18.71 Kept: 53495
% 18.29/18.71 Inuse: 1067
% 18.29/18.71 Deleted: 1553
% 18.29/18.71 Deletedinuse: 8
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71 Resimplifying inuse:
% 18.29/18.71 Done
% 18.29/18.71
% 18.29/18.71
% 18.29/18.71 Intermediate Status:
% 18.29/18.71 Generated: 267111
% 18.29/18.72 Kept: 55608
% 18.29/18.72 Inuse: 1112
% 18.29/18.72 Deleted: 1554
% 18.29/18.72 Deletedinuse: 9
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 Intermediate Status:
% 18.29/18.72 Generated: 288760
% 18.29/18.72 Kept: 59889
% 18.29/18.72 Inuse: 1157
% 18.29/18.72 Deleted: 1554
% 18.29/18.72 Deletedinuse: 9
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 Intermediate Status:
% 18.29/18.72 Generated: 299220
% 18.29/18.72 Kept: 62354
% 18.29/18.72 Inuse: 1162
% 18.29/18.72 Deleted: 1554
% 18.29/18.72 Deletedinuse: 9
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72 Resimplifying clauses:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 Intermediate Status:
% 18.29/18.72 Generated: 310367
% 18.29/18.72 Kept: 66443
% 18.29/18.72 Inuse: 1167
% 18.29/18.72 Deleted: 2026
% 18.29/18.72 Deletedinuse: 9
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 Intermediate Status:
% 18.29/18.72 Generated: 332576
% 18.29/18.72 Kept: 69022
% 18.29/18.72 Inuse: 1177
% 18.29/18.72 Deleted: 2026
% 18.29/18.72 Deletedinuse: 9
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 Intermediate Status:
% 18.29/18.72 Generated: 356244
% 18.29/18.72 Kept: 72317
% 18.29/18.72 Inuse: 1187
% 18.29/18.72 Deleted: 2026
% 18.29/18.72 Deletedinuse: 9
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 Intermediate Status:
% 18.29/18.72 Generated: 368485
% 18.29/18.72 Kept: 74537
% 18.29/18.72 Inuse: 1192
% 18.29/18.72 Deleted: 2026
% 18.29/18.72 Deletedinuse: 9
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 Intermediate Status:
% 18.29/18.72 Generated: 380764
% 18.29/18.72 Kept: 76760
% 18.29/18.72 Inuse: 1197
% 18.29/18.72 Deleted: 2026
% 18.29/18.72 Deletedinuse: 9
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 Intermediate Status:
% 18.29/18.72 Generated: 396488
% 18.29/18.72 Kept: 78802
% 18.29/18.72 Inuse: 1242
% 18.29/18.72 Deleted: 2026
% 18.29/18.72 Deletedinuse: 9
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 Intermediate Status:
% 18.29/18.72 Generated: 404100
% 18.29/18.72 Kept: 81733
% 18.29/18.72 Inuse: 1251
% 18.29/18.72 Deleted: 2026
% 18.29/18.72 Deletedinuse: 9
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72 Resimplifying clauses:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72 Resimplifying inuse:
% 18.29/18.72 Done
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 Bliksems!, er is een bewijs:
% 18.29/18.72 % SZS status Unsatisfiable
% 18.29/18.72 % SZS output start Refutation
% 18.29/18.72
% 18.29/18.72 clause( 108, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 247, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 18.29/18.72 Y, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 251, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 263, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 18.29/18.72 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 265, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ]
% 18.29/18.72 )
% 18.29/18.72 .
% 18.29/18.72 clause( 295, [ ~( =( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 18.29/18.72 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 18.29/18.72 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 296, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_xa'( X
% 18.29/18.72 ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 297, [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 18.29/18.72 'v_p', 'v_xa'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 298, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'( X ), X,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 378, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 380, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 54927, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 56874, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 57067, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 57083, [ 'c_lessequals'( X, 'v_x'( 'c_HOL_Oabs__class_Oabs'( X,
% 18.29/18.72 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 57112, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ) ), X,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 83060, [ 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'(
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( =(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ), 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ) ) ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 83475, [ 'c_HOL_Oord__class_Oless'( 'v_x'( X ),
% 18.29/18.72 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 .
% 18.29/18.72 clause( 83480, [] )
% 18.29/18.72 .
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 % SZS output end Refutation
% 18.29/18.72 found a proof!
% 18.29/18.72
% 18.29/18.72 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 18.29/18.72
% 18.29/18.72 initialclauses(
% 18.29/18.72 [ clause( 83482, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 18.29/18.72 ), 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y
% 18.29/18.72 , X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83483, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 18.29/18.72 ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Y
% 18.29/18.72 , X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83484, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 18.29/18.72 ), 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'(
% 18.29/18.72 Y, Z, X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83485, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 18.29/18.72 ), 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( Y, X ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83486, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Y,
% 18.29/18.72 X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83487, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 18.29/18.72 , X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83488, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( Y, X ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83489, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1'(
% 18.29/18.72 Y, Z, X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83490, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 18.29/18.72 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ] )
% 18.29/18.72 , clause( 83491, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 18.29/18.72 'class_Int_Onumber'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83492, [ ~( 'class_Int_Oring__char__0'( X ) ), ~(
% 18.29/18.72 'class_Int_Onumber__ring'( X ) ), ~( =(
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ] )
% 18.29/18.72 , clause( 83493, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 18.29/18.72 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 18.29/18.72 ), X ) ] )
% 18.29/18.72 , clause( 83494, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 18.29/18.72 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 18.29/18.72 =( Y, Z ) ] )
% 18.29/18.72 , clause( 83495, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 18.29/18.72 =( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83496, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 18.29/18.72 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83497, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 18.29/18.72 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83498, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 18.29/18.72 ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 18.29/18.72 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83499, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 18.29/18.72 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83500, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83501, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83502, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 18.29/18.72 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 18.29/18.72 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83503, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 18.29/18.72 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 18.29/18.72 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83504, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 18.29/18.72 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83505, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 18.29/18.72 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 18.29/18.72 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83506, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 18.29/18.72 , clause( 83507, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 18.29/18.72 , clause( 83508, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 18.29/18.72 , clause( 83509, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83510, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83511, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83512, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 18.29/18.72 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 18.29/18.72 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83513, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 18.29/18.72 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 18.29/18.72 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83514, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 18.29/18.72 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 18.29/18.72 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83515, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 18.29/18.72 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 18.29/18.72 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83516, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1'(
% 18.29/18.72 T, Y, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83517, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'( T,
% 18.29/18.72 Y, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83518, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__XscaleR__right__Xbounded__1__1'( T, Y, X
% 18.29/18.72 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83519, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Z, X )
% 18.29/18.72 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83520, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 18.29/18.72 , X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83521, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( T, X ),
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83522, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1'( Y, X ),
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83523, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Z,
% 18.29/18.72 X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83524, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( T, X ),
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83525, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y, X
% 18.29/18.72 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83526, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1'( Z, X ),
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83527, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1'( T, X ),
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83528, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 18.29/18.72 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 18.29/18.72 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 18.29/18.72 ), X ) ) ] )
% 18.29/18.72 , clause( 83529, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 18.29/18.72 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 18.29/18.72 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 18.29/18.72 , clause( 83530, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 18.29/18.72 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83531, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 Z, Y, X ) ) ] )
% 18.29/18.72 , clause( 83532, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83533, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 Z, Y, X ) ) ] )
% 18.29/18.72 , clause( 83534, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83535, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83536, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 18.29/18.72 , 'tc_RealDef_Oreal' ), T, X ) ) ] )
% 18.29/18.72 , clause( 83537, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 18.29/18.72 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83538, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83539, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 18.29/18.72 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83540, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83541, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83542, [ ~(
% 18.29/18.72 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 18.29/18.72 , clause( 83543, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83544, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 18.29/18.72 , clause( 83545, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 18.29/18.72 , clause( 83546, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 18.29/18.72 , clause( 83547, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83548, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83549, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 18.29/18.72 , clause( 83550, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 18.29/18.72 , clause( 83551, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83552, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 18.29/18.72 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 X ), T, X ) ) ] )
% 18.29/18.72 , clause( 83553, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83554, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 18.29/18.72 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83555, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83556, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83557, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.72 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 18.29/18.72 ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83558, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 18.29/18.72 , clause( 83559, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 18.29/18.72 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 18.29/18.72 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83560, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 18.29/18.72 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 18.29/18.72 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83561, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 18.29/18.72 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83562, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 18.29/18.72 , clause( 83563, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 18.29/18.72 , clause( 83564, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 18.29/18.72 , T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83565, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 18.29/18.72 , Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83566, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 18.29/18.72 , T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83567, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 18.29/18.72 , Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83568, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 18.29/18.72 , clause( 83569, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 18.29/18.72 , T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83570, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 18.29/18.72 , Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83571, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 18.29/18.72 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 18.29/18.72 ) ) ] )
% 18.29/18.72 , clause( 83572, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 18.29/18.72 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 X ), T, X ) ) ] )
% 18.29/18.72 , clause( 83573, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 18.29/18.72 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 18.29/18.72 ) ) ] )
% 18.29/18.72 , clause( 83574, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 18.29/18.72 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83575, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 18.29/18.72 , clause( 83576, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 18.29/18.72 , clause( 83577, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83578, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 18.29/18.72 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83579, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 18.29/18.72 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 18.29/18.72 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83580, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83581, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83582, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 18.29/18.72 , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83583, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83584, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 18.29/18.72 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 18.29/18.72 X ), X ) ) ] )
% 18.29/18.72 , clause( 83585, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83586, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 18.29/18.72 ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 18.29/18.72 , clause( 83587, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83588, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 Y, Y, X ) ) ] )
% 18.29/18.72 , clause( 83589, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 18.29/18.72 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 18.29/18.72 X ), X ) ) ] )
% 18.29/18.72 , clause( 83590, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 18.29/18.72 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 18.29/18.72 X ), X ) ) ] )
% 18.29/18.72 , clause( 83591, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 18.29/18.72 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 18.29/18.72 X ), X ) ) ] )
% 18.29/18.72 , clause( 83592, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 18.29/18.72 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 18.29/18.72 X ), X ) ) ] )
% 18.29/18.72 , clause( 83593, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 18.29/18.72 , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83594, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 18.29/18.72 X ), X ) ) ] )
% 18.29/18.72 , clause( 83595, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 18.29/18.72 , Z, X ) ) ] )
% 18.29/18.72 , clause( 83596, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 18.29/18.72 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83597, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 18.29/18.72 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83598, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83599, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83600, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 18.29/18.72 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 18.29/18.72 , clause( 83601, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83602, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 18.29/18.72 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83603, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83604, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z,
% 18.29/18.72 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83605, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' )
% 18.29/18.72 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83606, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83607, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83608, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83609, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83610, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 18.29/18.72 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83611, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 18.29/18.72 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 18.29/18.72 ), 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83612, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83613, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 18.29/18.72 , clause( 83614, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 18.29/18.72 'c_Complex_ORe'( X ), 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83615, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 18.29/18.72 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83616, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83617, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83618, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83619, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 18.29/18.72 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83620, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 18.29/18.72 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83621, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83622, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83623, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 18.29/18.72 , clause( 83624, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83625, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83626, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 18.29/18.72 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83627, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 18.29/18.72 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83628, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83629, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 18.29/18.72 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 18.29/18.72 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83630, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83631, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83632, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83633, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 18.29/18.72 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83634, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83635, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83636, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 18.29/18.72 , clause( 83637, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83638, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83639, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83640, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83641, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83642, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 18.29/18.72 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 18.29/18.72 , clause( 83643, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 18.29/18.72 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 18.29/18.72 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83644, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 18.29/18.72 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 18.29/18.72 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83645, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83646, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83647, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83648, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 18.29/18.72 , clause( 83649, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83650, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83651, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83652, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 18.29/18.72 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 18.29/18.72 T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83653, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 18.29/18.72 T, X ), Z, X ) ) ] )
% 18.29/18.72 , clause( 83654, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 18.29/18.72 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 Z, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83655, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 18.29/18.72 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 18.29/18.72 , X ), T, X ) ) ] )
% 18.29/18.72 , clause( 83656, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 18.29/18.72 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 18.29/18.72 , T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83657, [ =( 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83658, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 18.29/18.72 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 18.29/18.72 , X ), T, X ) ) ] )
% 18.29/18.72 , clause( 83659, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83660, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83661, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83662, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83663, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 18.29/18.72 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 18.29/18.72 , clause( 83664, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 18.29/18.72 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 18.29/18.72 , clause( 83665, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83666, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83667, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83668, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83669, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ),
% 18.29/18.72 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 18.29/18.72 X, Y ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83670, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83671, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83672, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83673, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83674, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83675, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83676, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83677, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 18.29/18.72 , clause( 83678, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83679, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 18.29/18.72 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83680, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 18.29/18.72 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83681, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 18.29/18.72 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83682, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 18.29/18.72 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83683, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 18.29/18.72 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83684, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 18.29/18.72 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83685, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 18.29/18.72 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83686, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 18.29/18.72 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 18.29/18.72 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83687, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 18.29/18.72 , ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.72 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83688, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ),
% 18.29/18.72 =( 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X
% 18.29/18.72 ), 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83689, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 18.29/18.72 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 18.29/18.72 , clause( 83690, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83691, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83692, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83693, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83694, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83695, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83696, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 18.29/18.72 , =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y,
% 18.29/18.72 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83697, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 18.29/18.72 , clause( 83698, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 18.29/18.72 , clause( 83699, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 18.29/18.72 , X ) ) ] )
% 18.29/18.72 , clause( 83700, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83701, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83702, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83703, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83704, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83705, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83706, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 18.29/18.72 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83707, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83708, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83709, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 18.29/18.72 ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 18.29/18.72 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83710, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 18.29/18.72 ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 18.29/18.72 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83711, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 18.29/18.72 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 18.29/18.72 , clause( 83712, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83713, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83714, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 18.29/18.72 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 18.29/18.72 , clause( 83715, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 18.29/18.72 , clause( 83716, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 18.29/18.72 , clause( 83717, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83718, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ] )
% 18.29/18.72 , clause( 83719, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 18.29/18.72 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83720, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y
% 18.29/18.72 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 18.29/18.72 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83721, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ] )
% 18.29/18.72 , clause( 83722, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ] )
% 18.29/18.72 , clause( 83723, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 18.29/18.72 , Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83724, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 18.29/18.72 , T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83725, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 18.29/18.72 , T, X ), X ) ) ] )
% 18.29/18.72 , clause( 83726, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 18.29/18.72 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 18.29/18.72 , Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83727, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83728, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 18.29/18.72 , clause( 83729, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83730, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 18.29/18.72 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83731, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 18.29/18.72 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83732, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83733, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83734, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 18.29/18.72 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83735, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 18.29/18.72 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83736, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 18.29/18.72 ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 18.29/18.72 , clause( 83737, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83738, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 18.29/18.72 , clause( 83739, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83740, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83741, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 18.29/18.72 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83742, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 18.29/18.72 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.29/18.72 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_RealVector_Oof__real'( Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83743, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 18.29/18.72 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83744, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 18.29/18.72 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83745, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 18.29/18.72 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83746, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 18.29/18.72 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83747, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 18.29/18.72 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal'
% 18.29/18.72 ) ) ] )
% 18.29/18.72 , clause( 83748, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 18.29/18.72 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83749, [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83750, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 18.29/18.72 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ] )
% 18.29/18.72 , clause( 83751, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 18.29/18.72 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83752, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_Polynomial_Opoly'( 'v_p', 'v_sko__unknown__thm__rW8__1'( 'v_p', 'v_r'
% 18.29/18.72 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p', X,
% 18.29/18.72 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 18.29/18.72 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 18.29/18.72 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ), 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'v_r',
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83753, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_Polynomial_Opoly'( 'v_p', 'v_sko__local__Xmth1__2'( 'v_p', 'v_r' ),
% 18.29/18.72 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'v_sko__local__Xmth1__1'( 'v_p', 'v_r' )
% 18.29/18.72 , 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83754, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 18.29/18.72 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83755, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'v_sko__local__Xmth1__2'( 'v_p', 'v_r' ), 'tc_Complex_Ocomplex' ), 'v_r'
% 18.29/18.72 , 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83756, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 18.29/18.72 Y, X ) ) ] )
% 18.29/18.72 , clause( 83757, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 18.29/18.72 Y, X ) ) ] )
% 18.29/18.72 , clause( 83758, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.72 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83759, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 18.29/18.72 , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 18.29/18.72 , clause( 83760, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 18.29/18.72 Y, X ) ) ] )
% 18.29/18.72 , clause( 83761, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 18.29/18.72 Y, X ) ) ] )
% 18.29/18.72 , clause( 83762, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 18.29/18.72 , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83763, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 18.29/18.72 , clause( 83764, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 18.29/18.72 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 18.29/18.72 , clause( 83765, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 18.29/18.72 , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83766, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 18.29/18.72 , clause( 83767, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 18.29/18.72 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 18.29/18.72 , clause( 83768, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83769, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 18.29/18.72 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83770, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 18.29/18.72 , X ) ] )
% 18.29/18.72 , clause( 83771, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 18.29/18.72 , Y, X ) ] )
% 18.29/18.72 , clause( 83772, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 18.29/18.72 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83773, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83774, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 18.29/18.72 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83775, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 18.29/18.72 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83776, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 18.29/18.72 , clause( 83777, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83778, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 18.29/18.72 , clause( 83779, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 18.29/18.72 , clause( 83780, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 18.29/18.72 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 18.29/18.72 , clause( 83781, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 18.29/18.72 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83782, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 18.29/18.72 , X ) ) ] )
% 18.29/18.72 , clause( 83783, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 18.29/18.72 Z, Y ) ] )
% 18.29/18.72 , clause( 83784, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83785, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 18.29/18.72 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 18.29/18.72 , clause( 83786, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 18.29/18.72 Y, Z ) ] )
% 18.29/18.72 , clause( 83787, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 18.29/18.72 , X ) ) ] )
% 18.29/18.72 , clause( 83788, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.72 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83789, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83790, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 18.29/18.72 , X ) ) ] )
% 18.29/18.72 , clause( 83791, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 18.29/18.72 ), =( Z, Y ) ] )
% 18.29/18.72 , clause( 83792, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83793, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83794, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 18.29/18.72 , clause( 83795, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 18.29/18.72 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 18.29/18.72 , clause( 83796, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 18.29/18.72 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83797, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 18.29/18.72 ), =( Z, Y ) ] )
% 18.29/18.72 , clause( 83798, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 18.29/18.72 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.72 , clause( 83799, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' )
% 18.29/18.72 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83800, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 18.29/18.72 , X ) ) ), =( Y, Z ) ] )
% 18.29/18.72 , clause( 83801, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 18.29/18.72 , X ) ) ), =( Y, Z ) ] )
% 18.29/18.72 , clause( 83802, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 Z, Y, X ) ) ] )
% 18.29/18.72 , clause( 83803, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 18.29/18.72 , X ), X ) ) ] )
% 18.29/18.72 , clause( 83804, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 18.29/18.72 , X ), X ) ) ] )
% 18.29/18.72 , clause( 83805, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83806, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 18.29/18.72 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 18.29/18.72 , clause( 83807, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 18.29/18.72 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 18.29/18.72 , clause( 83808, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'(
% 18.29/18.72 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 18.29/18.72 , clause( 83809, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 18.29/18.72 , clause( 83810, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 18.29/18.72 Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 18.29/18.72 , clause( 83811, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 18.29/18.72 , clause( 83812, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83813, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 18.29/18.72 , Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 18.29/18.72 , clause( 83814, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 18.29/18.72 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 18.29/18.72 , clause( 83815, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 18.29/18.72 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 18.29/18.72 , clause( 83816, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 18.29/18.72 ), Y ) ] )
% 18.29/18.72 , clause( 83817, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 18.29/18.72 ) ) ] )
% 18.29/18.72 , clause( 83818, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 18.29/18.72 ) ) ] )
% 18.29/18.72 , clause( 83819, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 18.29/18.72 ), Y ) ] )
% 18.29/18.72 , clause( 83820, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 18.29/18.72 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 18.29/18.72 ), Y ) ] )
% 18.29/18.72 , clause( 83821, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 18.29/18.72 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 18.29/18.72 , Y, X ) ) ] )
% 18.29/18.72 , clause( 83822, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 18.29/18.72 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 18.29/18.72 , Y, X ) ) ] )
% 18.29/18.72 , clause( 83823, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 18.29/18.72 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 18.29/18.72 ), X ) ) ] )
% 18.29/18.72 , clause( 83824, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 18.29/18.72 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 18.29/18.72 ), X ) ) ] )
% 18.29/18.72 , clause( 83825, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83826, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 18.29/18.72 , clause( 83827, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 18.29/18.72 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83828, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 18.29/18.72 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 18.29/18.72 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 18.29/18.72 , clause( 83829, [ ~( =( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 18.29/18.72 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 18.29/18.72 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 18.29/18.72 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83830, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'v_xa'( X ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83831, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.72 'c_Polynomial_Opoly'( 'v_p', 'v_xa'( X ), 'tc_Complex_Ocomplex' ),
% 18.29/18.72 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ),
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83832, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'( X ), X,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83833, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~(
% 18.29/18.72 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 18.29/18.72 , clause( 83834, [ 'class_OrderedGroup_Oab__group__add'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 18.29/18.72 ) ) ] )
% 18.29/18.72 , clause( 83835, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83836, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83837, [ 'class_OrderedGroup_Oab__group__add'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83838, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83839, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83840, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83841, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83842, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83843, [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83844, [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83845, [
% 18.29/18.72 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_Int_Oint'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83846, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83847, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83848, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83849, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83850, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83851, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83852, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83853, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83854, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83855, [ 'class_Ring__and__Field_Opordered__semiring'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83856, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83857, [ 'class_Ring__and__Field_Oordered__semiring'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83858, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83859, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 18.29/18.72 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83860, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83861, [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83862, [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83863, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83864, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83865, [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83866, [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83867, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83868, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83869, [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83870, [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83871, [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83872, [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83873, [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83874, [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83875, [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83876, [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83877, [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ] )
% 18.29/18.72 , clause( 83878, [
% 18.29/18.72 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83879, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83880, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83881, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83882, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83883, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83884, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83885, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83886, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83887, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83888, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83889, [ 'class_Ring__and__Field_Opordered__semiring'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83890, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83891, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83892, [ 'class_Ring__and__Field_Oordered__semiring'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83893, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83894, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83895, [ 'class_RealVector_Oreal__normed__algebra'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83896, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83897, [ 'class_RealVector_Oreal__normed__vector'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83898, [ 'class_Ring__and__Field_Opordered__ring'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83899, [ 'class_Ring__and__Field_Olordered__ring'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83900, [ 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83901, [ 'class_Ring__and__Field_Omult__mono1'(
% 18.29/18.72 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83902, [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83903, [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83904, [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83905, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83906, [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83907, [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83908, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83909, [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83910, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83911, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83912, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83913, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83914, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83915, [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83916, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83917, [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.72 , clause( 83918, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83919, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83920, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83921, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83922, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83923, [ 'class_RealVector_Oreal__normed__algebra'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83924, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83925, [ 'class_RealVector_Oreal__normed__vector'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83926, [ 'class_RealVector_Oreal__algebra__1'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83927, [ 'class_Ring__and__Field_Omult__zero'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83928, [ 'class_Ring__and__Field_Ocomm__ring'(
% 18.29/18.72 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83929, [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83930, [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83931, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 18.29/18.72 ) ] )
% 18.29/18.72 , clause( 83932, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83933, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 18.29/18.72 ] )
% 18.29/18.72 , clause( 83934, [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83935, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83936, [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ] )
% 18.29/18.72 , clause( 83937, [
% 18.29/18.72 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83938, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83939, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83940, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83941, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83942, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83943, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83944, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83945, [ 'class_Ring__and__Field_Opordered__semiring'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83946, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83947, [ 'class_Ring__and__Field_Oordered__semiring'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83948, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 18.29/18.72 )
% 18.29/18.72 , clause( 83949, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~(
% 18.29/18.72 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 18.29/18.72 , clause( 83950, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~(
% 18.29/18.72 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 18.29/18.72 , clause( 83951, [ 'class_Ring__and__Field_Opordered__ring'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83952, [ 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83953, [ 'class_Ring__and__Field_Omult__mono1'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83954, [ 'class_Ring__and__Field_Omult__zero'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~(
% 18.29/18.72 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 18.29/18.72 , clause( 83955, [ 'class_Ring__and__Field_Omult__mono'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 18.29/18.72 X ) ) ] )
% 18.29/18.72 , clause( 83956, [ 'class_Ring__and__Field_Ocomm__ring'(
% 18.29/18.72 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X
% 18.29/18.72 ) ) ] )
% 18.29/18.72 , clause( 83957, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'(
% 18.29/18.72 X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ] )
% 18.29/18.72 , clause( 83958, [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'(
% 18.29/18.72 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 18.29/18.72 , clause( 83959, [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X
% 18.29/18.72 ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ] )
% 18.29/18.72 , clause( 83960, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X
% 18.29/18.72 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 18.29/18.72 , clause( 83961, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X )
% 18.29/18.72 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 18.29/18.72 , clause( 83962, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X )
% 18.29/18.72 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 18.29/18.72 , clause( 83963, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ),
% 18.29/18.72 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 18.29/18.72 , clause( 83964, [ 'class_Int_Oring__char__0'( 'tc_Polynomial_Opoly'( X ) )
% 18.29/18.72 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 18.29/18.72 , clause( 83965, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) )
% 18.29/18.72 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 18.29/18.72 , clause( 83966, [ 'class_Int_Onumber'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 18.29/18.72 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 18.29/18.72 ] ).
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72
% 18.29/18.72 subsumption(
% 18.29/18.72 clause( 108, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 18.29/18.72 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 18.29/18.72 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.72 , clause( 83601, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 18.29/18.73 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 18.29/18.73 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 18.29/18.73 ), ==>( 1, 1 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 247, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 18.29/18.73 Y, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 83758, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.73 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 18.29/18.73 ), ==>( 1, 1 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 251, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 18.29/18.73 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 18.29/18.73 , clause( 83763, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 18.29/18.73 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 18.29/18.73 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 18.29/18.73 ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 263, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 18.29/18.73 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.73 , clause( 83775, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 18.29/18.73 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 18.29/18.73 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 18.29/18.73 ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 265, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ]
% 18.29/18.73 )
% 18.29/18.73 , clause( 83777, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' )
% 18.29/18.73 ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 295, [ ~( =( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.73 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ),
% 18.29/18.73 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.29/18.73 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 18.29/18.73 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 18.29/18.73 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 18.29/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 83829, [ ~( =( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.73 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ),
% 18.29/18.73 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.29/18.73 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 18.29/18.73 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 18.29/18.73 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 18.29/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 18.29/18.73 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 296, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_xa'( X
% 18.29/18.73 ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 83830, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.73 'v_xa'( X ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 297, [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 18.29/18.73 'v_p', 'v_xa'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 18.29/18.73 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , clause( 83831, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 18.29/18.73 'c_Polynomial_Opoly'( 'v_p', 'v_xa'( X ), 'tc_Complex_Ocomplex' ),
% 18.29/18.73 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ),
% 18.29/18.73 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 298, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'( X ), X,
% 18.29/18.73 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , clause( 83832, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'( X ), X,
% 18.29/18.73 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 378, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 83912, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 380, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 83914, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 resolution(
% 18.29/18.73 clause( 87300, [ ~( 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.73 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , clause( 265, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) )
% 18.29/18.73 ] )
% 18.29/18.73 , 0, clause( 251, [ ~( 'class_Orderings_Oorder'( X ) ),
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 18.29/18.73 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 18.29/18.73 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 18.29/18.73 'tc_RealDef_Oreal' ), :=( Y, X ), :=( Z, X ), :=( T, Y )] )).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 resolution(
% 18.29/18.73 clause( 87301, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , clause( 87300, [ ~( 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.73 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , 0, clause( 380, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 18.29/18.73 ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 54927, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , clause( 87301, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 18.29/18.73 ), ==>( 1, 1 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 resolution(
% 18.29/18.73 clause( 87302, [ ~( 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ),
% 18.29/18.73 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y
% 18.29/18.73 , X, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ]
% 18.29/18.73 )
% 18.29/18.73 , clause( 263, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 18.29/18.73 'c_lessequals'( Y, Z, X ) ) ] )
% 18.29/18.73 , 3, clause( 247, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.73 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , 0, substitution( 0, [ :=( X, 'tc_RealDef_Oreal' ), :=( Y, X ), :=( Z, Y )] )
% 18.29/18.73 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 resolution(
% 18.29/18.73 clause( 87304, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.73 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 18.29/18.73 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 87302, [ ~( 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ),
% 18.29/18.73 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y
% 18.29/18.73 , X, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ]
% 18.29/18.73 )
% 18.29/18.73 , 0, clause( 378, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 18.29/18.73 ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 factor(
% 18.29/18.73 clause( 87305, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.73 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 87304, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.73 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 18.29/18.73 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 56874, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.73 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 87305, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 18.29/18.73 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 18.29/18.73 ), ==>( 1, 1 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 resolution(
% 18.29/18.73 clause( 87306, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 298, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'( X ), X,
% 18.29/18.73 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , 0, clause( 56874, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' )
% 18.29/18.73 , 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'v_x'( X )
% 18.29/18.73 ), :=( Y, X )] )).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 57067, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 87306, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 resolution(
% 18.29/18.73 clause( 87307, [ 'c_lessequals'( X, 'v_x'( 'c_HOL_Oabs__class_Oabs'( X,
% 18.29/18.73 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 108, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 18.29/18.73 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 18.29/18.73 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , 1, clause( 57067, [ 'c_lessequals'( X, 'v_x'( X ), 'tc_RealDef_Oreal' ) ]
% 18.29/18.73 )
% 18.29/18.73 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_x'( 'c_HOL_Oabs__class_Oabs'(
% 18.29/18.73 X, 'tc_RealDef_Oreal' ) ) )] ), substitution( 1, [ :=( X,
% 18.29/18.73 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ) )] )).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 57083, [ 'c_lessequals'( X, 'v_x'( 'c_HOL_Oabs__class_Oabs'( X,
% 18.29/18.73 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , clause( 87307, [ 'c_lessequals'( X, 'v_x'( 'c_HOL_Oabs__class_Oabs'( X,
% 18.29/18.73 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 resolution(
% 18.29/18.73 clause( 87308, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'(
% 18.29/18.73 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ) ), X,
% 18.29/18.73 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , clause( 54927, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 18.29/18.73 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , 0, clause( 57083, [ 'c_lessequals'( X, 'v_x'( 'c_HOL_Oabs__class_Oabs'( X
% 18.29/18.73 , 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 18.29/18.73 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_x'( 'c_HOL_Oabs__class_Oabs'(
% 18.29/18.73 X, 'tc_RealDef_Oreal' ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 18.29/18.73
% 18.29/18.73
% 18.29/18.73 subsumption(
% 18.29/18.73 clause( 57112, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'(
% 18.29/18.73 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ) ), X,
% 18.29/18.73 'tc_RealDef_Oreal' ) ) ] )
% 18.29/18.73 , clause( 87308, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'(
% 18.29/18.73 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ) ), X,
% 18.38/18.73 'tc_RealDef_Oreal' ) ) ] )
% 18.38/18.73 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 eqswap(
% 18.38/18.73 clause( 87309, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.38/18.73 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 18.38/18.73 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ),
% 18.38/18.73 'tc_Complex_Ocomplex' ) ) ), ~( 'c_lessequals'(
% 18.38/18.73 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 18.38/18.73 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , clause( 295, [ ~( =( 'c_RealVector_Onorm__class_Onorm'(
% 18.38/18.73 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ),
% 18.38/18.73 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.38/18.73 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 18.38/18.73 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 18.38/18.73 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 resolution(
% 18.38/18.73 clause( 87311, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X,
% 18.38/18.73 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 18.38/18.73 'c_Polynomial_Opoly'( 'v_p', 'v_xa'( Y ), 'tc_Complex_Ocomplex' ),
% 18.38/18.73 'tc_Complex_Ocomplex' ) ) ), 'c_HOL_Oord__class_Oless'( X,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , clause( 87309, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.38/18.73 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 18.38/18.73 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ),
% 18.38/18.73 'tc_Complex_Ocomplex' ) ) ), ~( 'c_lessequals'(
% 18.38/18.73 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 18.38/18.73 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , 1, clause( 296, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 18.38/18.73 'v_xa'( X ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , 0, substitution( 0, [ :=( X, 'v_xa'( Y ) ), :=( Y, X )] ), substitution(
% 18.38/18.73 1, [ :=( X, Y )] )).
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 paramod(
% 18.38/18.73 clause( 87312, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X,
% 18.38/18.73 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( Y ),
% 18.38/18.73 'tc_RealDef_Oreal' ) ) ), 'c_HOL_Oord__class_Oless'( X,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , clause( 297, [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 18.38/18.73 'v_p', 'v_xa'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 18.38/18.73 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 18.38/18.73 , 0, clause( 87311, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X,
% 18.38/18.73 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 18.38/18.73 'c_Polynomial_Opoly'( 'v_p', 'v_xa'( Y ), 'tc_Complex_Ocomplex' ),
% 18.38/18.73 'tc_Complex_Ocomplex' ) ) ), 'c_HOL_Oord__class_Oless'( X,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 18.38/18.73 :=( Y, Y )] )).
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 eqswap(
% 18.38/18.73 clause( 87313, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( Y ),
% 18.38/18.73 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( X,
% 18.38/18.73 'tc_RealDef_Oreal' ) ) ), 'c_HOL_Oord__class_Oless'( X,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , clause( 87312, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X,
% 18.38/18.73 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( Y ),
% 18.38/18.73 'tc_RealDef_Oreal' ) ) ), 'c_HOL_Oord__class_Oless'( X,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 subsumption(
% 18.38/18.73 clause( 83060, [ 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'(
% 18.38/18.73 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( =(
% 18.38/18.73 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ), 'tc_RealDef_Oreal' ),
% 18.38/18.73 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ) ) ) ] )
% 18.38/18.73 , clause( 87313, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( Y ),
% 18.38/18.73 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( X,
% 18.38/18.73 'tc_RealDef_Oreal' ) ) ), 'c_HOL_Oord__class_Oless'( X,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 18.38/18.73 ), ==>( 1, 0 )] ) ).
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 eqswap(
% 18.38/18.73 clause( 87314, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.38/18.73 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ),
% 18.38/18.73 'tc_RealDef_Oreal' ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , clause( 83060, [ 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'(
% 18.38/18.73 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( =(
% 18.38/18.73 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ), 'tc_RealDef_Oreal' ),
% 18.38/18.73 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ) ) ) ] )
% 18.38/18.73 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 eqrefl(
% 18.38/18.73 clause( 87315, [ 'c_HOL_Oord__class_Oless'( 'v_x'( X ),
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , clause( 87314, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 18.38/18.73 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_x'( X ),
% 18.38/18.73 'tc_RealDef_Oreal' ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_x'( X ) )] )).
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 subsumption(
% 18.38/18.73 clause( 83475, [ 'c_HOL_Oord__class_Oless'( 'v_x'( X ),
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , clause( 87315, [ 'c_HOL_Oord__class_Oless'( 'v_x'( X ),
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 resolution(
% 18.38/18.73 clause( 87316, [] )
% 18.38/18.73 , clause( 57112, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x'(
% 18.38/18.73 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ) ), X,
% 18.38/18.73 'tc_RealDef_Oreal' ) ) ] )
% 18.38/18.73 , 0, clause( 83475, [ 'c_HOL_Oord__class_Oless'( 'v_x'( X ),
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 18.38/18.73 , 0, substitution( 0, [ :=( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 18.38/18.73 ) )] ), substitution( 1, [ :=( X, 'c_HOL_Oabs__class_Oabs'(
% 18.38/18.73 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )] )
% 18.38/18.74 ).
% 18.38/18.74
% 18.38/18.74
% 18.38/18.74 subsumption(
% 18.38/18.74 clause( 83480, [] )
% 18.38/18.74 , clause( 87316, [] )
% 18.38/18.74 , substitution( 0, [] ), permutation( 0, [] ) ).
% 18.38/18.74
% 18.38/18.74
% 18.38/18.74 end.
% 18.38/18.74
% 18.38/18.74 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 18.38/18.74
% 18.38/18.74 Memory use:
% 18.38/18.74
% 18.38/18.74 space for terms: 2034630
% 18.38/18.74 space for clauses: 3583272
% 18.38/18.74
% 18.38/18.74
% 18.38/18.74 clauses generated: 413364
% 18.38/18.74 clauses kept: 83481
% 18.38/18.74 clauses selected: 1278
% 18.38/18.74 clauses deleted: 2162
% 18.38/18.74 clauses inuse deleted: 10
% 18.38/18.74
% 18.38/18.74 subsentry: 1460028
% 18.38/18.74 literals s-matched: 1038694
% 18.38/18.74 literals matched: 934942
% 18.38/18.74 full subsumption: 577643
% 18.38/18.74
% 18.38/18.74 checksum: -1310845717
% 18.38/18.74
% 18.38/18.74
% 18.38/18.74 Bliksem ended
%------------------------------------------------------------------------------