TSTP Solution File: ALG368-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG368-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 12:10:33 EDT 2022
% Result : Timeout 300.02s 300.40s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ALG368-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 8 18:30:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.01/1.41 *** allocated 10000 integers for termspace/termends
% 1.01/1.41 *** allocated 10000 integers for clauses
% 1.01/1.41 *** allocated 10000 integers for justifications
% 1.01/1.41 *** allocated 15000 integers for termspace/termends
% 1.01/1.41 *** allocated 22500 integers for termspace/termends
% 1.01/1.41 Bliksem 1.12
% 1.01/1.41
% 1.01/1.41
% 1.01/1.41 Automatic Strategy Selection
% 1.01/1.41
% 1.01/1.41 Clauses:
% 1.01/1.41 [
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocnj'(
% 1.01/1.41 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.01/1.41 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.01/1.41 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.01/1.41 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ), Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.01/1.41 X ), X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X )
% 1.01/1.41 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.41 X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.41 X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ) ) ), =( Y, T ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.01/1.41 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.01/1.41 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.01/1.41 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , U, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Osin'( X )
% 1.01/1.41 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.01/1.41 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.01/1.41 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.01/1.41 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.01/1.41 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.01/1.41 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.01/1.41 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.01/1.41 , X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.01/1.41 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.41 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.01/1.41 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.01/1.41 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.41 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.01/1.41 X ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.01/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.01/1.41 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.01/1.41 ), Y, X ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.41 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.41 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.01/1.41 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.01/1.41 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.01/1.41 X ), X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 1.01/1.41 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.01/1.41 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.01/1.41 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_Transcendental_Otan'( X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Oln'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.01/1.41 , X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 1.01/1.41 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.41 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.41 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.01/1.41 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.01/1.41 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.01/1.41 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.41 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.41 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.41 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.01/1.41 ), Y ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.01/1.41 ), Y ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.01/1.41 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.41 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.01/1.41 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X ),
% 1.01/1.41 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.01/1.41 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.41 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.41 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ominus__class_Ominus'( 'c_Complex_Ocnj'(
% 1.01/1.41 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.41 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.41 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.41 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.41 , X ), W, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.01/1.41 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( Y, X ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 1.01/1.41 , X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Y,
% 1.01/1.41 X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.01/1.41 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.01/1.41 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.01/1.41 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.01/1.41 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.01/1.41 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.01/1.41 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.01/1.41 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.01/1.41 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 1.01/1.41 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 1.01/1.41 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 1.01/1.41 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( Z, T, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( T, Y, X ),
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1'(
% 1.01/1.41 T, Y, Z ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1'(
% 1.01/1.41 X, T, Z ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.41 , X ), W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.01/1.41 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.01/1.41 W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.41 , X ), T, X ), W, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.41 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.01/1.41 W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.41 , X ), W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.41 , X ), T, X ), W, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.01/1.41 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.41 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.01/1.41 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.01/1.41 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 1.01/1.41 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.01/1.41 ), X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.01/1.41 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 1.01/1.41 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.01/1.41 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.01/1.41 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Oln'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 1.01/1.41 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.01/1.41 , 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.01/1.41 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.41 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Oexp'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealDef_Oreal'( X, 'tc_nat' ), Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Otan'(
% 1.01/1.41 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ) )
% 1.01/1.41 , 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 Z, X ),
% 1.01/1.41 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 1.01/1.41 , X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( T, X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 Z, X ), 'c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1'( Y
% 1.01/1.41 , X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 Y, X ),
% 1.01/1.41 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Z,
% 1.01/1.41 X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 Y, X ), 'c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1'( Z,
% 1.01/1.41 X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1'( T, X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal'(
% 1.01/1.41 'c_RComplete_Osko__RComplete__Xreals__Archimedean6__1__1'( X ), 'tc_nat'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.01/1.41 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealDef_Oreal'(
% 1.01/1.41 'c_RComplete_Osko__RComplete__Xreals__Archimedean3__1__1'( Y, X ),
% 1.01/1.41 'tc_nat' ), Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Oln'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__1__1'( T, Y
% 1.01/1.41 , Z ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__1__1'( X, T
% 1.01/1.41 , Z ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.41 'c_Transcendental_Osko__Transcendental__Xreals__Archimedean4__1__1'( X, Y
% 1.01/1.41 ), 'tc_nat' ), Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.01/1.41 , X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.41 'c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1'( Z, X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.01/1.41 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 1.01/1.41 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'( T,
% 1.01/1.41 Y, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Oln'( 'c_Power_Opower__class_Opower'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.41 Y, 'tc_nat' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X
% 1.01/1.41 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1', 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_RealVector_Odist__class_Odist'( 'v_x', 'v_y',
% 1.01/1.41 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'v_x', 'v_y', 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.41 [ =( 'c_Polynomial_Opoly'( 'v_q____', X, 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Oplus__class_Oplus'( 'v_z', X,
% 1.01/1.41 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.41 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.01/1.41 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.01/1.41 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 1.01/1.41 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.41 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.41 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.41 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 1.01/1.41 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.01/1.41 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.01/1.41 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.01/1.41 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 Y, X ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'(
% 1.01/1.41 Z, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.41 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.01/1.41 ), X ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.41 , X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.01/1.41 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 1.01/1.41 ) ) ), =( X, Y ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 1.01/1.41 Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.01/1.41 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.41 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 1.01/1.41 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y
% 1.01/1.41 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'( Y ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.01/1.41 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.01/1.41 , 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.01/1.41 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 1.01/1.41 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.01/1.41 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.42 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.42 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.42 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 1.01/1.42 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.42 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 1.01/1.42 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.42 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 1.01/1.42 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.42 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.42 T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.42 X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.42 T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.01/1.42 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 1.01/1.42 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.42 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.42 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 1.01/1.42 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.42 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( T, X ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.42 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.42 Z, X ),
% 1.01/1.42 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y, X
% 1.01/1.42 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), X ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), X ) ],
% 1.01/1.42 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), X ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 1.01/1.42 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.01/1.42 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.01/1.42 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 1.01/1.42 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.42 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.42 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 1.01/1.42 'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 1.01/1.42 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 1.01/1.42 'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.01/1.42 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.01/1.42 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.42 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.42 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 Y, X ), X ) ],
% 1.01/1.42 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.01/1.42 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.42 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.42 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 1.01/1.42 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 1.01/1.42 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.42 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.42 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'( Y ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y
% 1.01/1.42 , X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1'
% 1.01/1.42 , 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Y
% 1.01/1.42 , X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1'( Y, X )
% 1.01/1.42 , 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'(
% 1.01/1.42 Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1'( X, Y ),
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__1__1'( X, Y
% 1.01/1.42 , Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.01/1.42 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.01/1.42 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ),
% 1.01/1.42 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 1.01/1.42 X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X,
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), Y, 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1'( Y, X )
% 1.01/1.42 , 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1'(
% 1.01/1.42 X, Y, Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.01/1.42 , Z ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.42 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1'( Y, X ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1'
% 1.01/1.42 , 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ), Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ), X,
% 1.01/1.42 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.42 , 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1', 'tc_RealDef_Oreal'
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( Y, X ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1'(
% 1.01/1.42 Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 1.01/1.42 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ =( 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ominus__class_Ominus'( X,
% 1.01/1.42 'v_z', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.01/1.42 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 1.01/1.42 'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ =( 'c_RealVector_Odist__class_Odist'( X, Y, 'tc_Complex_Ocomplex' ),
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.42 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Y, X ) ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.42 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.01/1.42 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'v_e', 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.42 ), =( Z, Y ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.42 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.42 , T, X ) ) ), =( Z, T ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42 , T, X ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.01/1.42 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 Z, Y, X ), X ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'v_e', 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( hAPP( 'v_x', X ), 'v_z',
% 1.01/1.42 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( hAPP( 'v_x', X ), 'v_z',
% 1.01/1.42 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Opoly'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 1.01/1.42 ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( 'v_x', X ), 'v_z',
% 1.01/1.42 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 1.01/1.42 ) ), 'c_HOL_Ominus__class_Ominus'( 'v_z', 'v_z', 'tc_Complex_Ocomplex' )
% 1.01/1.42 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 1.01/1.42 ), 'v_e', 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 1.01/1.42 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.01/1.42 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.01/1.42 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.01/1.42 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_RealVector_Odist__norm'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 1.01/1.42 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.01/1.42 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 1.01/1.42 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 1.01/1.42 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 1.01/1.42 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.01/1.42 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 1.01/1.42 X ) ) ]
% 1.01/1.42 ] .
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 percentage equality = 0.174572, percentage horn = 0.883864
% 1.01/1.42 This is a problem with some equality
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Options Used:
% 1.01/1.42
% 1.01/1.42 useres = 1
% 1.01/1.42 useparamod = 1
% 1.01/1.42 useeqrefl = 1
% 1.01/1.42 useeqfact = 1
% 1.01/1.42 usefactor = 1
% 1.01/1.42 usesimpsplitting = 0
% 1.01/1.42 usesimpdemod = 5
% 1.01/1.42 usesimpres = 3
% 1.01/1.42
% 1.01/1.42 resimpinuse = 1000
% 1.01/1.42 resimpclauses = 20000
% 1.01/1.42 substype = eqrewr
% 1.01/1.42 backwardsubs = 1
% 1.01/1.42 selectoldest = 5
% 1.01/1.42
% 1.01/1.42 litorderings [0] = split
% 1.01/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.42
% 1.01/1.42 termordering = kbo
% 1.01/1.42
% 1.01/1.42 litapriori = 0
% 1.01/1.42 termapriori = 1
% 1.01/1.42 litaposteriori = 0
% 1.01/1.42 termaposteriori = 0
% 1.01/1.42 demodaposteriori = 0
% 1.01/1.42 ordereqreflfact = 0
% 1.01/1.42
% 1.01/1.42 litselect = negord
% 1.01/1.42
% 1.01/1.42 maxweight = 15
% 1.01/1.42 maxdepth = 30000
% 1.01/1.42 maxlength = 115
% 1.01/1.42 maxnrvars = 195
% 1.01/1.42 excuselevel = 1
% 1.01/1.42 increasemaxweight = 1
% 1.01/1.42
% 1.01/1.42 maxselected = 10000000
% 1.01/1.42 maxnrclauses = 10000000
% 1.01/1.42
% 1.01/1.42 showgenerated = 0
% 1.01/1.42 showkept = 0
% 1.01/1.42 showselected = 0
% 1.01/1.42 showdeleted = 0
% 1.01/1.42 showresimp = 1
% 1.01/1.42 showstatus = 2000
% 1.01/1.42
% 1.01/1.42 prologoutput = 1
% 1.01/1.42 nrgoals = 5000000
% 1.01/1.42 totalproof = 1
% 1.01/1.42
% 1.01/1.42 Symbols occurring in the translation:
% 1.01/1.42
% 1.01/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.42 . [1, 2] (w:1, o:153, a:1, s:1, b:0),
% 1.01/1.42 ! [4, 1] (w:0, o:67, a:1, s:1, b:0),
% 1.01/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.42 'tc_RealDef_Oreal' [41, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus' [42, 3] (w:1, o:205, a:1, s:1, b:0),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes' [44, 3] (w:1, o:206, a:1, s:1, b:0),
% 1.01/1.42 'class_RealVector_Oreal__normed__algebra' [46, 1] (w:1, o:72, a:1, s:
% 1.01/1.42 1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Ocomm__semiring__1' [55, 1] (w:1, o:76, a:1
% 1.01/1.42 , s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Ofield' [57, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide' [58, 3] (w:1, o:207, a:1, s:1, b:0),
% 1.01/1.42
% 1.01/1.42 'c_HOL_Oone__class_Oone' [59, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero' [60, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Ocomm__monoid__mult' [61, 1] (w:1, o:80, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'c_Power_Opower__class_Opower' [63, 3] (w:1, o:208, a:1, s:1, b:0),
% 1.01/1.42 'class_RealVector_Oreal__vector' [65, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.01/1.42
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR' [66, 3] (w:1, o:209, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'class_Ring__and__Field_Oordered__semidom' [67, 1] (w:1, o:88, a:1
% 1.01/1.42 , s:1, b:0),
% 1.01/1.42 'c_HOL_Oord__class_Oless' [68, 3] (w:1, o:204, a:1, s:1, b:0),
% 1.01/1.42 'tc_Complex_Ocomplex' [69, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.01/1.42 'c_Complex_Ocnj' [70, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.01/1.42 'c_Transcendental_Ocos' [71, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.01/1.42 'c_lessequals' [72, 3] (w:1, o:210, a:1, s:1, b:0),
% 1.01/1.42 'c_HOL_Ominus__class_Ominus' [73, 3] (w:1, o:211, a:1, s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero' [74, 1] (w:1, o:92, a:1
% 1.01/1.42 , s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [76, 1]
% 1.01/1.42 (w:1, o:93, a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Opordered__ab__semigroup__add' [77, 1] (w:1, o:94
% 1.01/1.42 , a:1, s:1, b:0),
% 1.01/1.42 'class_RealVector_Oreal__normed__vector' [78, 1] (w:1, o:95, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'tc_nat' [79, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.01/1.42 'c_RealDef_Oreal' [80, 2] (w:1, o:178, a:1, s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Oordered__field' [81, 1] (w:1, o:96, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'class_RealVector_Oreal__normed__algebra__1' [82, 1] (w:1, o:97, a:1
% 1.01/1.42 , s:1, b:0),
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm' [83, 2] (w:1, o:179, a:1, s:1, b:0)
% 1.01/1.42 ,
% 1.01/1.42 'c_Transcendental_Osin' [84, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.01/1.42 'c_NthRoot_Osqrt' [85, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Omonoid__mult' [86, 1] (w:1, o:102, a:1, s:1, b:0
% 1.01/1.42 ),
% 1.01/1.42 'class_Ring__and__Field_Oidom' [87, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.01/1.42 'class_Int_Onumber__ring' [88, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Ocomm__monoid__add' [90, 1] (w:1, o:106, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'class_Ring__and__Field_Ocomm__semiring' [91, 1] (w:1, o:91, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs' [92, 2] (w:1, o:180, a:1, s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom' [93, 1] (w:1, o:107, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'c_Polynomial_Osmult' [96, 3] (w:1, o:212, a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Ocancel__ab__semigroup__add' [97, 1] (w:1, o:108
% 1.01/1.42 , a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Ocancel__semigroup__add' [98, 1] (w:1, o:109, a:1
% 1.01/1.42 , s:1, b:0),
% 1.01/1.42 'class_RealVector_Oreal__algebra' [100, 1] (w:1, o:110, a:1, s:1, b:0
% 1.01/1.42 ),
% 1.01/1.42 'class_OrderedGroup_Oab__group__add' [101, 1] (w:1, o:111, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'class_RealVector_Oreal__normed__field' [103, 1] (w:1, o:112, a:1, s:
% 1.01/1.42 1, b:0),
% 1.01/1.42 'class_RealVector_Oreal__field' [104, 1] (w:1, o:113, a:1, s:1, b:0)
% 1.01/1.42 ,
% 1.01/1.42 'c_Transcendental_Opi' [108, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.01/1.42 'c_Transcendental_Otan' [109, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Opordered__ab__group__add__abs' [110, 1] (w:1, o:
% 1.01/1.42 116, a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Opordered__ab__group__add' [111, 1] (w:1, o:117
% 1.01/1.42 , a:1, s:1, b:0),
% 1.01/1.42 'class_RealVector_Oreal__normed__div__algebra' [112, 1] (w:1, o:118
% 1.01/1.42 , a:1, s:1, b:0),
% 1.01/1.42 'c_Transcendental_Oln' [113, 1] (w:1, o:119, a:1, s:1, b:0),
% 1.01/1.42 'c_Transcendental_Oexp' [114, 2] (w:1, o:181, a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Opordered__comm__monoid__add' [115, 1] (w:1, o:
% 1.01/1.42 120, a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Olordered__ab__group__add' [116, 1] (w:1, o:100
% 1.01/1.42 , a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Oab__semigroup__add' [117, 1] (w:1, o:121, a:1
% 1.01/1.42 , s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Osemiring' [118, 1] (w:1, o:125, a:1, s:1, b:
% 1.01/1.42 0),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn' [120, 2] (w:1, o:182, a:1, s:1, b:0),
% 1.01/1.42 'c_Polynomial_OpCons' [121, 3] (w:1, o:213, a:1, s:1, b:0),
% 1.01/1.42 'c_Polynomial_Opos__poly' [122, 2] (w:1, o:183, a:1, s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Ozero__neq__one' [123, 1] (w:1, o:126, a:1
% 1.01/1.42 , s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Oring__1__no__zero__divisors' [124, 1] (w:1
% 1.01/1.42 , o:122, a:1, s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Ono__zero__divisors' [125, 1] (w:1, o:86, a:1
% 1.01/1.42 , s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Omult__zero' [126, 1] (w:1, o:83, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'class_Power_Opower' [127, 1] (w:1, o:136, a:1, s:1, b:0),
% 1.01/1.42 'class_OrderedGroup_Omonoid__add' [128, 1] (w:1, o:127, a:1, s:1, b:0
% 2.72/3.10 ),
% 2.72/3.10 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [129, 1]
% 2.72/3.10 (w:1, o:128, a:1, s:1, b:0),
% 2.72/3.10 'class_OrderedGroup_Ogroup__add' [130, 1] (w:1, o:129, a:1, s:1, b:0)
% 2.72/3.10 ,
% 2.72/3.10 'tc_Polynomial_Opoly' [132, 1] (w:1, o:137, a:1, s:1, b:0),
% 2.72/3.10 'class_Ring__and__Field_Oordered__ring__strict' [133, 1] (w:1, o:87
% 2.72/3.10 , a:1, s:1, b:0),
% 2.72/3.10 'class_Ring__and__Field_Oring' [134, 1] (w:1, o:123, a:1, s:1, b:0),
% 2.72/3.10
% 2.72/3.10 'class_OrderedGroup_Olordered__ab__group__add__abs' [135, 1] (w:1, o:
% 2.72/3.10 101, a:1, s:1, b:0),
% 2.72/3.10 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1' [137, 2
% 2.72/3.10 ] (w:1, o:184, a:1, s:1, b:0),
% 2.72/3.10 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1' [138
% 2.72/3.10 , 2] (w:1, o:185, a:1, s:1, b:0),
% 2.72/3.10 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1' [139
% 2.72/3.10 , 2] (w:1, o:186, a:1, s:1, b:0),
% 2.72/3.10 'class_SEQ_Obanach' [140, 1] (w:1, o:150, a:1, s:1, b:0),
% 2.72/3.10 'class_RealVector_Ometric__space' [141, 1] (w:1, o:138, a:1, s:1, b:0
% 2.72/3.11 ),
% 2.72/3.11 'c_RealVector_Odist__class_Odist' [142, 3] (w:1, o:214, a:1, s:1, b:0
% 2.72/3.11 ),
% 2.72/3.11 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1' [143, 3] (w:1, o:
% 2.72/3.11 215, a:1, s:1, b:0),
% 2.72/3.11 'class_Ring__and__Field_Opordered__ring' [144, 1] (w:1, o:142, a:1
% 2.72/3.11 , s:1, b:0),
% 2.72/3.11 'class_Ring__and__Field_Osgn__if' [145, 1] (w:1, o:143, a:1, s:1, b:0
% 2.72/3.11 ),
% 2.72/3.11 'class_Ring__and__Field_Ocomm__semiring__0' [146, 1] (w:1, o:75, a:1
% 2.72/3.11 , s:1, b:0),
% 2.72/3.11 'c_Polynomial_Opoly' [147, 3] (w:1, o:216, a:1, s:1, b:0),
% 2.72/3.11 'c_Polynomial_Omonom' [148, 3] (w:1, o:217, a:1, s:1, b:0),
% 2.72/3.11 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1' [149, 1
% 2.72/3.11 ] (w:1, o:114, a:1, s:1, b:0),
% 2.72/3.11 'c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1' [151, 2
% 2.72/3.11 ] (w:1, o:187, a:1, s:1, b:0),
% 2.72/3.11 'c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1' [152, 2
% 2.72/3.11 ] (w:1, o:188, a:1, s:1, b:0),
% 2.72/3.11 'c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1' [154, 2] (w:1
% 2.72/3.11 , o:189, a:1, s:1, b:0),
% 2.72/3.11 'c_RComplete_Osko__RComplete__Xreals__Archimedean6__1__1' [155, 1]
% 2.72/3.11 (w:1, o:151, a:1, s:1, b:0),
% 2.72/3.11 'c_RComplete_Osko__RComplete__Xreals__Archimedean3__1__1' [156, 2]
% 2.72/3.11 (w:1, o:190, a:1, s:1, b:0),
% 2.72/3.11 'c_Deriv_Osko__Deriv__Xlemma__interval__1__1' [157, 3] (w:1, o:218
% 2.72/3.11 , a:1, s:1, b:0),
% 2.72/3.11 'c_Transcendental_Osko__Transcendental__Xreals__Archimedean4__1__1' [158,
% 2.72/3.11 2] (w:1, o:191, a:1, s:1, b:0),
% 2.72/3.11 'c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1' [159, 2
% 2.72/3.11 ] (w:1, o:192, a:1, s:1, b:0),
% 2.72/3.11 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1' [161
% 2.72/3.11 , 3] (w:1, o:219, a:1, s:1, b:0),
% 2.72/3.11 'c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1' [162, 0] (w:1
% 2.72/3.11 , o:55, a:1, s:1, b:0),
% 2.72/3.11 'v_x' [163, 0] (w:1, o:56, a:1, s:1, b:0),
% 2.72/3.11 'v_y' [164, 0] (w:1, o:57, a:1, s:1, b:0),
% 2.72/3.11 'v_q____' [165, 0] (w:1, o:59, a:1, s:1, b:0),
% 2.72/3.11 'v_p' [166, 0] (w:1, o:58, a:1, s:1, b:0),
% 2.72/3.11 'v_z' [167, 0] (w:1, o:60, a:1, s:1, b:0),
% 2.72/3.11 'class_Orderings_Oorder' [168, 1] (w:1, o:130, a:1, s:1, b:0),
% 2.72/3.11 'class_Orderings_Opreorder' [169, 1] (w:1, o:131, a:1, s:1, b:0),
% 2.72/3.11 'class_Ring__and__Field_Oordered__semiring__strict' [170, 1] (w:1, o:
% 2.72/3.11 139, a:1, s:1, b:0),
% 2.72/3.11 'class_Ring__and__Field_Oordered__semiring' [171, 1] (w:1, o:140, a:1
% 2.72/3.11 , s:1, b:0),
% 2.72/3.11 'class_Ring__and__Field_Oring__no__zero__divisors' [172, 1] (w:1, o:
% 2.72/3.11 124, a:1, s:1, b:0),
% 2.72/3.11 'class_HOL_Ozero' [173, 1] (w:1, o:104, a:1, s:1, b:0),
% 2.72/3.11 'c_Polynomial_Ocoeff' [174, 3] (w:1, o:220, a:1, s:1, b:0),
% 2.72/3.11 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1' [175, 2
% 2.72/3.11 ] (w:1, o:193, a:1, s:1, b:0),
% 2.72/3.11 'class_Ring__and__Field_Olordered__ring' [176, 1] (w:1, o:82, a:1, s:
% 2.72/3.11 1, b:0),
% 2.72/3.11 'class_Orderings_Olinorder' [181, 1] (w:1, o:132, a:1, s:1, b:0),
% 2.72/3.11 'c_NthRoot_Oroot' [184, 2] (w:1, o:194, a:1, s:1, b:0),
% 2.72/3.11 'c_RealDef_Oreal__of__preal' [185, 1] (w:1, o:152, a:1, s:1, b:0),
% 2.72/3.11 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 23.34/23.73 [186, 2] (w:1, o:195, a:1, s:1, b:0),
% 23.34/23.73 'class_Ring__and__Field_Oabs__if' [187, 1] (w:1, o:144, a:1, s:1, b:0
% 23.34/23.73 ),
% 23.34/23.73 'class_Ring__and__Field_Oordered__comm__semiring__strict' [188, 1]
% 23.34/23.73 (w:1, o:141, a:1, s:1, b:0),
% 23.34/23.73 'class_Ring__and__Field_Opordered__ring__abs' [189, 1] (w:1, o:145
% 23.34/23.73 , a:1, s:1, b:0),
% 23.34/23.73 'class_OrderedGroup_Oab__semigroup__idem__mult' [190, 1] (w:1, o:133
% 23.34/23.73 , a:1, s:1, b:0),
% 23.34/23.73 'class_Ring__and__Field_Omult__mono1' [191, 1] (w:1, o:84, a:1, s:1
% 23.34/23.73 , b:0),
% 23.34/23.73 'class_Ring__and__Field_Omult__mono' [192, 1] (w:1, o:85, a:1, s:1
% 23.34/23.73 , b:0),
% 23.34/23.73 'class_Ring__and__Field_Opordered__cancel__semiring' [193, 1] (w:1
% 23.34/23.73 , o:146, a:1, s:1, b:0),
% 23.34/23.73 'class_OrderedGroup_Oab__semigroup__mult' [194, 1] (w:1, o:134, a:1
% 23.34/23.73 , s:1, b:0),
% 23.34/23.73 'class_Ring__and__Field_Opordered__semiring' [196, 1] (w:1, o:147, a:
% 23.34/23.73 1, s:1, b:0),
% 23.34/23.73 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1' [198, 2]
% 23.34/23.73 (w:1, o:196, a:1, s:1, b:0),
% 23.34/23.73 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1' [199, 2
% 23.34/23.73 ] (w:1, o:197, a:1, s:1, b:0),
% 23.34/23.73 'class_Ring__and__Field_Ocomm__ring' [200, 1] (w:1, o:73, a:1, s:1
% 23.34/23.73 , b:0),
% 23.34/23.73 'c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1' [203, 0] (w:1, o:
% 23.34/23.73 63, a:1, s:1, b:0),
% 23.34/23.73 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1' [206, 2] (w:
% 23.34/23.73 1, o:198, a:1, s:1, b:0),
% 23.34/23.73 'c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1' [207, 2] (w:1
% 23.34/23.73 , o:199, a:1, s:1, b:0),
% 23.34/23.73 'c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1' [209, 2
% 23.34/23.73 ] (w:1, o:200, a:1, s:1, b:0),
% 23.34/23.73 'class_RealVector_Oreal__algebra__1' [210, 1] (w:1, o:148, a:1, s:1
% 23.34/23.73 , b:0),
% 23.34/23.73 'c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1' [212, 2
% 23.34/23.73 ] (w:1, o:201, a:1, s:1, b:0),
% 23.34/23.73 'c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1' [213, 0] (w:1, o:
% 23.34/23.73 64, a:1, s:1, b:0),
% 23.34/23.73 'c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1' [214,
% 23.34/23.73 2] (w:1, o:202, a:1, s:1, b:0),
% 23.34/23.73 'class_RealVector_Odist__norm' [215, 1] (w:1, o:149, a:1, s:1, b:0),
% 23.34/23.73
% 23.34/23.73 'v_e' [216, 0] (w:1, o:65, a:1, s:1, b:0),
% 23.34/23.73 hAPP [217, 2] (w:1, o:203, a:1, s:1, b:0),
% 23.34/23.73 'class_OrderedGroup_Ocancel__comm__monoid__add' [219, 1] (w:1, o:135
% 23.34/23.73 , a:1, s:1, b:0),
% 23.34/23.73 'class_Ring__and__Field_Ocomm__ring__1' [220, 1] (w:1, o:74, a:1, s:1
% 23.34/23.73 , b:0).
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Starting Search:
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Intermediate Status:
% 23.34/23.73 Generated: 3362
% 23.34/23.73 Kept: 2197
% 23.34/23.73 Inuse: 155
% 23.34/23.73 Deleted: 1
% 23.34/23.73 Deletedinuse: 0
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Intermediate Status:
% 23.34/23.73 Generated: 9889
% 23.34/23.73 Kept: 4292
% 23.34/23.73 Inuse: 287
% 23.34/23.73 Deleted: 4
% 23.34/23.73 Deletedinuse: 0
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Intermediate Status:
% 23.34/23.73 Generated: 17238
% 23.34/23.73 Kept: 6522
% 23.34/23.73 Inuse: 351
% 23.34/23.73 Deleted: 5
% 23.34/23.73 Deletedinuse: 0
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Intermediate Status:
% 23.34/23.73 Generated: 31536
% 23.34/23.73 Kept: 9359
% 23.34/23.73 Inuse: 431
% 23.34/23.73 Deleted: 5
% 23.34/23.73 Deletedinuse: 0
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Intermediate Status:
% 23.34/23.73 Generated: 43257
% 23.34/23.73 Kept: 11717
% 23.34/23.73 Inuse: 466
% 23.34/23.73 Deleted: 5
% 23.34/23.73 Deletedinuse: 0
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Intermediate Status:
% 23.34/23.73 Generated: 51288
% 23.34/23.73 Kept: 13721
% 23.34/23.73 Inuse: 494
% 23.34/23.73 Deleted: 5
% 23.34/23.73 Deletedinuse: 0
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Intermediate Status:
% 23.34/23.73 Generated: 62478
% 23.34/23.73 Kept: 15726
% 23.34/23.73 Inuse: 567
% 23.34/23.73 Deleted: 5
% 23.34/23.73 Deletedinuse: 0
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Intermediate Status:
% 23.34/23.73 Generated: 72342
% 23.34/23.73 Kept: 17726
% 23.34/23.73 Inuse: 645
% 23.34/23.73 Deleted: 5
% 23.34/23.73 Deletedinuse: 0
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Intermediate Status:
% 23.34/23.73 Generated: 84223
% 23.34/23.73 Kept: 20644
% 23.34/23.73 Inuse: 711
% 23.34/23.73 Deleted: 5
% 23.34/23.73 Deletedinuse: 0
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73 Resimplifying clauses:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 23.34/23.73 Done
% 23.34/23.73
% 23.34/23.73
% 23.34/23.73 Intermediate Status:
% 23.34/23.73 Generated: 110337
% 23.34/23.73 Kept: 23983
% 23.34/23.73 Inuse: 791
% 23.34/23.73 Deleted: 300
% 23.34/23.73 Deletedinuse: 0
% 23.34/23.73
% 23.34/23.73 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 118271
% 53.51/53.93 Kept: 26518
% 53.51/53.93 Inuse: 806
% 53.51/53.93 Deleted: 300
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 125935
% 53.51/53.93 Kept: 29438
% 53.51/53.93 Inuse: 816
% 53.51/53.93 Deleted: 300
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 136824
% 53.51/53.93 Kept: 31438
% 53.51/53.93 Inuse: 893
% 53.51/53.93 Deleted: 300
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 145180
% 53.51/53.93 Kept: 33464
% 53.51/53.93 Inuse: 941
% 53.51/53.93 Deleted: 300
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 166061
% 53.51/53.93 Kept: 35780
% 53.51/53.93 Inuse: 976
% 53.51/53.93 Deleted: 300
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 176889
% 53.51/53.93 Kept: 38009
% 53.51/53.93 Inuse: 1031
% 53.51/53.93 Deleted: 300
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 186167
% 53.51/53.93 Kept: 40080
% 53.51/53.93 Inuse: 1076
% 53.51/53.93 Deleted: 300
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying clauses:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 200527
% 53.51/53.93 Kept: 43059
% 53.51/53.93 Inuse: 1121
% 53.51/53.93 Deleted: 803
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 217297
% 53.51/53.93 Kept: 46077
% 53.51/53.93 Inuse: 1176
% 53.51/53.93 Deleted: 803
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 228584
% 53.51/53.93 Kept: 48175
% 53.51/53.93 Inuse: 1201
% 53.51/53.93 Deleted: 803
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 238579
% 53.51/53.93 Kept: 50186
% 53.51/53.93 Inuse: 1251
% 53.51/53.93 Deleted: 803
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 263391
% 53.51/53.93 Kept: 52443
% 53.51/53.93 Inuse: 1291
% 53.51/53.93 Deleted: 803
% 53.51/53.93 Deletedinuse: 0
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 284960
% 53.51/53.93 Kept: 54495
% 53.51/53.93 Inuse: 1296
% 53.51/53.93 Deleted: 806
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 297354
% 53.51/53.93 Kept: 56954
% 53.51/53.93 Inuse: 1306
% 53.51/53.93 Deleted: 806
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 340885
% 53.51/53.93 Kept: 59717
% 53.51/53.93 Inuse: 1326
% 53.51/53.93 Deleted: 806
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 364422
% 53.51/53.93 Kept: 63054
% 53.51/53.93 Inuse: 1356
% 53.51/53.93 Deleted: 806
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying clauses:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 383275
% 53.51/53.93 Kept: 66096
% 53.51/53.93 Inuse: 1376
% 53.51/53.93 Deleted: 1393
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 400012
% 53.51/53.93 Kept: 69211
% 53.51/53.93 Inuse: 1416
% 53.51/53.93 Deleted: 1393
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 413435
% 53.51/53.93 Kept: 71228
% 53.51/53.93 Inuse: 1446
% 53.51/53.93 Deleted: 1393
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 427832
% 53.51/53.93 Kept: 73604
% 53.51/53.93 Inuse: 1481
% 53.51/53.93 Deleted: 1393
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 435775
% 53.51/53.93 Kept: 77545
% 53.51/53.93 Inuse: 1486
% 53.51/53.93 Deleted: 1393
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 445516
% 53.51/53.93 Kept: 79554
% 53.51/53.93 Inuse: 1516
% 53.51/53.93 Deleted: 1393
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 455854
% 53.51/53.93 Kept: 81741
% 53.51/53.93 Inuse: 1541
% 53.51/53.93 Deleted: 1393
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying clauses:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 468595
% 53.51/53.93 Kept: 83923
% 53.51/53.93 Inuse: 1566
% 53.51/53.93 Deleted: 2301
% 53.51/53.93 Deletedinuse: 3
% 53.51/53.93
% 53.51/53.93 Resimplifying inuse:
% 53.51/53.93 Done
% 53.51/53.93
% 53.51/53.93
% 53.51/53.93 Intermediate Status:
% 53.51/53.93 Generated: 480208
% 53.51/53.93 Kept: 86017
% 201.96/202.40 Inuse: 1596
% 201.96/202.40 Deleted: 2301
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 493828
% 201.96/202.40 Kept: 88736
% 201.96/202.40 Inuse: 1616
% 201.96/202.40 Deleted: 2301
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 507246
% 201.96/202.40 Kept: 91056
% 201.96/202.40 Inuse: 1631
% 201.96/202.40 Deleted: 2301
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 519568
% 201.96/202.40 Kept: 93059
% 201.96/202.40 Inuse: 1649
% 201.96/202.40 Deleted: 2301
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 532111
% 201.96/202.40 Kept: 95329
% 201.96/202.40 Inuse: 1661
% 201.96/202.40 Deleted: 2301
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 558836
% 201.96/202.40 Kept: 98337
% 201.96/202.40 Inuse: 1666
% 201.96/202.40 Deleted: 2301
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 566908
% 201.96/202.40 Kept: 100703
% 201.96/202.40 Inuse: 1686
% 201.96/202.40 Deleted: 2301
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 574914
% 201.96/202.40 Kept: 102970
% 201.96/202.40 Inuse: 1706
% 201.96/202.40 Deleted: 2301
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40 Resimplifying clauses:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 590255
% 201.96/202.40 Kept: 105380
% 201.96/202.40 Inuse: 1731
% 201.96/202.40 Deleted: 2689
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 597693
% 201.96/202.40 Kept: 107382
% 201.96/202.40 Inuse: 1755
% 201.96/202.40 Deleted: 2689
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 609648
% 201.96/202.40 Kept: 109509
% 201.96/202.40 Inuse: 1766
% 201.96/202.40 Deleted: 2689
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 622576
% 201.96/202.40 Kept: 111822
% 201.96/202.40 Inuse: 1781
% 201.96/202.40 Deleted: 2689
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 201.96/202.40 Generated: 631930
% 201.96/202.40 Kept: 114094
% 201.96/202.40 Inuse: 1786
% 201.96/202.40 Deleted: 2689
% 201.96/202.40 Deletedinuse: 3
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40 Resimplifying inuse:
% 201.96/202.40 Done
% 201.96/202.40
% 201.96/202.40
% 201.96/202.40 Intermediate Status:
% 202.03/202.40 Generated: 646303
% 202.03/202.40 Kept: 116130
% 202.03/202.40 Inuse: 1811
% 202.03/202.40 Deleted: 2689
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 666546
% 202.03/202.40 Kept: 119346
% 202.03/202.40 Inuse: 1836
% 202.03/202.40 Deleted: 2689
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 676673
% 202.03/202.40 Kept: 121349
% 202.03/202.40 Inuse: 1862
% 202.03/202.40 Deleted: 2689
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying clauses:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 690802
% 202.03/202.40 Kept: 123360
% 202.03/202.40 Inuse: 1891
% 202.03/202.40 Deleted: 3637
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 703600
% 202.03/202.40 Kept: 125546
% 202.03/202.40 Inuse: 1916
% 202.03/202.40 Deleted: 3637
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 715066
% 202.03/202.40 Kept: 127705
% 202.03/202.40 Inuse: 1936
% 202.03/202.40 Deleted: 3637
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 727592
% 202.03/202.40 Kept: 129718
% 202.03/202.40 Inuse: 1960
% 202.03/202.40 Deleted: 3637
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 734177
% 202.03/202.40 Kept: 131738
% 202.03/202.40 Inuse: 1971
% 202.03/202.40 Deleted: 3637
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 745326
% 202.03/202.40 Kept: 133741
% 202.03/202.40 Inuse: 1994
% 202.03/202.40 Deleted: 3637
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 755302
% 202.03/202.40 Kept: 135935
% 202.03/202.40 Inuse: 2016
% 202.03/202.40 Deleted: 3637
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 767340
% 202.03/202.40 Kept: 138051
% 202.03/202.40 Inuse: 2036
% 202.03/202.40 Deleted: 3637
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40
% 202.03/202.40 Intermediate Status:
% 202.03/202.40 Generated: 795604
% 202.03/202.40 Kept: 143738
% 202.03/202.40 Inuse: 2063
% 202.03/202.40 Deleted: 3637
% 202.03/202.40 Deletedinuse: 3
% 202.03/202.40
% 202.03/202.40 Resimplifying inuse:
% 202.03/202.40 Done
% 202.03/202.40
% 202.03/202.40 ResimpliCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------