TSTP Solution File: ALG413-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG413-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 12:10:49 EDT 2022
% Result : Timeout 300.02s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG413-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 9 02:56:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.94/1.33 *** allocated 10000 integers for termspace/termends
% 0.94/1.33 *** allocated 10000 integers for clauses
% 0.94/1.33 *** allocated 10000 integers for justifications
% 0.94/1.33 *** allocated 15000 integers for termspace/termends
% 0.94/1.33 *** allocated 22500 integers for termspace/termends
% 0.94/1.33 Bliksem 1.12
% 0.94/1.33
% 0.94/1.33
% 0.94/1.33 Automatic Strategy Selection
% 0.94/1.33
% 0.94/1.33 Clauses:
% 0.94/1.33 [
% 0.94/1.33 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.94/1.33 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 0.94/1.33 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.94/1.33 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.94/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.94/1.33 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.94/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.33 ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.94/1.33 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.94/1.33 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.94/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.94/1.33 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.33 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.94/1.33 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.94/1.33 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.94/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.94/1.33 X ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.94/1.33 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.33 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.33 ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.33 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.33 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.33 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.94/1.33 X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.33 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.33 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.94/1.33 X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.33 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.33 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.33 ), =( Z, Y ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.33 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.33 , Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.94/1.33 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.33 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.33 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.33 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.33 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.33 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.33 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.33 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.33 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.33 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.33 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 0.94/1.33 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.94/1.33 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.94/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.94/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.94/1.33 X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.94/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.33 Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.94/1.33 Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.33 X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.33 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.33 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ), T, X ) ) ],
% 0.94/1.33 [ =( 'c_Complex_ORe'( 'c_HOL_Osgn__class_Osgn'( X, 'tc_Complex_Ocomplex'
% 0.94/1.33 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_Complex_ORe'( X ),
% 0.94/1.33 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.94/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.94/1.33 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.94/1.33 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.94/1.33 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 0.94/1.33 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.94/1.33 'tc_RealDef_Oreal' ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.33 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.33 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.33 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.33 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.33 ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.94/1.33 ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.94/1.33 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.33 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.94/1.33 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.94/1.33 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.33 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.94/1.33 ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.33 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.33 Y, X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.33 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.33 Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.33 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.33 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.94/1.33 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.94/1.33 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.94/1.33 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.94/1.33 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.94/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.33 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.94/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.94/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.94/1.33 ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.33 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.33 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 Y, X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.33 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Orcis'( X, Y ),
% 0.94/1.33 'tc_Complex_Ocomplex' ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal'
% 0.94/1.33 ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.33 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.33 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.94/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.94/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.33 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.33 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.94/1.33 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.94/1.33 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.33 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.94/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.33 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.94/1.33 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.94/1.33 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.33 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 Y, T, X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.33 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 Y, T, X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.94/1.33 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.94/1.33 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.94/1.33 ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.94/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.33 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.94/1.33 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.33 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.33 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.94/1.33 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.33 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.33 , Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.33 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.33 Z, T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.33 , X ) ) ), =( Y, Z ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.33 , X ) ) ), =( Y, Z ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.33 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.33 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.94/1.33 ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 0.94/1.33 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.33 ), X ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 Z, Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.33 , X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.94/1.33 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.94/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.94/1.33 ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.33 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.33 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.94/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.94/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.94/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.33 Z, T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.94/1.33 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.94/1.33 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.33 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.94/1.33 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.33 , T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.33 , Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.33 , T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.33 , Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.94/1.33 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.94/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.33 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.33 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.33 , T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.33 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.33 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.94/1.33 , X ), W, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.94/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.33 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.94/1.33 , X ), T, X ), W, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.94/1.33 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.33 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.33 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.94/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.94/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.94/1.33 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.94/1.33 ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.33 , X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.94/1.33 , X ), Z, X ) ) ],
% 0.94/1.33 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.94/1.33 ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.33 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.94/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.33 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.94/1.33 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.94/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.33 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.33 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.33 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.94/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.94/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.94/1.33 X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.33 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.33 , X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.33 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.33 , T, X ), X ), T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.94/1.33 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.94/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.94/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.94/1.33 X ) ) ), =( Z, T ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.94/1.33 X ) ) ), =( Z, T ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.94/1.33 X ) ) ), =( Y, T ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.94/1.33 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.33 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.94/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.94/1.33 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.94/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.94/1.33 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.94/1.33 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.94/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.94/1.33 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.94/1.33 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.94/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.94/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.33 X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.94/1.33 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.94/1.33 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.94/1.33 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.94/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.94/1.33 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.33 , X ) ) ],
% 0.94/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.33 ,
% 0.94/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.94/1.34 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.94/1.34 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.94/1.34 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.94/1.34 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.94/1.34 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.94/1.34 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) ), T
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( T, Y
% 0.94/1.34 , X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.94/1.34 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.94/1.34 ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.94/1.34 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.94/1.34 ), Y ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.94/1.34 ), X ), Y ) ],
% 0.94/1.34 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.94/1.34 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.34 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.34 , T, X ), X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.94/1.34 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.94/1.34 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.94/1.34 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.34 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.94/1.34 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.34 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.94/1.34 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.34 , T, X ) ) ), =( Z, T ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.34 , T, X ) ) ), =( Y, Z ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.94/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.94/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 Y, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.34 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.34 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.94/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.94/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.94/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ), =( Y, Z ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ), =( Y, Z ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.34 , U, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.94/1.34 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.94/1.34 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.94/1.34 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.94/1.34 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.34 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.34 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.94/1.34 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.34 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.34 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.94/1.34 , X ), W, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.94/1.34 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.94/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.34 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.94/1.34 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.94/1.34 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.94/1.34 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.94/1.34 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.94/1.34 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.94/1.34 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , Z, X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.94/1.34 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , Z, X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.34 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.94/1.34 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , T, X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , T, X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 0.94/1.34 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.94/1.34 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.94/1.34 W, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.94/1.34 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.94/1.34 , X ), T, X ), W, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.94/1.34 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.94/1.34 W, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.94/1.34 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.94/1.34 , X ), W, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.94/1.34 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.94/1.34 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.94/1.34 Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.34 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.34 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.34 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.34 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.34 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.34 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.34 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.34 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.94/1.34 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.94/1.34 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.94/1.34 [ =( 'c_Complex_Ocis'( X ), 'c_Complex_Orcis'( 'c_HOL_Oone__class_Oone'(
% 0.94/1.34 'tc_RealDef_Oreal' ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.94/1.34 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.34 Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.34 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.94/1.34 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.94/1.34 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.94/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.94/1.34 X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.34 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.34 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.94/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.94/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.94/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.94/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.34 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.94/1.34 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.94/1.34 ), Y ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.94/1.34 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.94/1.34 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ), Y ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ), Y ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ), Y ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.34 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'v_x____', 'c_HOL_Oone__class_Oone'(
% 0.94/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.94/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.94/1.34 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.94/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.94/1.34 X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.34 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.94/1.34 Y, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.34 , T, X ), X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.94/1.34 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.94/1.34 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.94/1.34 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.94/1.34 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.94/1.34 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.34 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.94/1.34 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.94/1.34 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Complex_ORe'( 'c_Complex_Ocnj'( X ) ), 'c_Complex_ORe'( X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.34 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.94/1.34 ), Y, X ) ), =( Z, T ) ],
% 0.94/1.34 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.94/1.34 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.94/1.34 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.94/1.34 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.34 Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.94/1.34 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.34 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.94/1.34 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.94/1.34 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.94/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.34 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.34 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.94/1.34 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.34 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.34 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.94/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.94/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.34 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Y, X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Complex_ORe'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), X ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.94/1.34 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.94/1.34 Y, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.94/1.34 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.34 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.94/1.34 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.94/1.34 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.94/1.34 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.34 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.94/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 Y, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.94/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.94/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.94/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.94/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.94/1.34 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.94/1.34 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.94/1.34 , X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.94/1.34 , X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.34 , Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.34 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.94/1.34 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , Y, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , Z, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , Z, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.94/1.34 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.94/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.94/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.34 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 Y, T, X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.94/1.34 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.94/1.34 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.94/1.34 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.94/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.94/1.34 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.34 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.34 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.34 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.94/1.34 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.94/1.34 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 Z, Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.94/1.34 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.34 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X ),
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.94/1.34 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.94/1.34 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( X, 'c_RealVector_Oof__real'(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.34 [ =( 'c_Complex_Ocnj'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.34 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Ocnj'(
% 0.94/1.34 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Ocomplex_OComplex'( X, Y )
% 0.94/1.34 , 'c_RealVector_Oof__real'( Z, 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( X,
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'( Y, Z ),
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 0.94/1.34 [ =( 'c_Complex_Orcis'( X, Y ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ), 'c_Complex_Ocis'( Y
% 0.94/1.34 ), 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.34 [ =( 'c_Complex_Ocnj'( 'c_RealVector_Oof__real'( X,
% 0.94/1.34 'tc_Complex_Ocomplex' ) ), 'c_RealVector_Oof__real'( X,
% 0.94/1.34 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.34 [ =( 'c_Complex_ORe'( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex'
% 0.94/1.34 ) ), X ) ],
% 0.94/1.34 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'(
% 0.94/1.34 Z, 'tc_Complex_Ocomplex' ) ) ), =( X, Z ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.34 'c_Polynomial_Opoly'( X,
% 0.94/1.34 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'(
% 0.94/1.34 X, Y ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( X, Z,
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 0.94/1.34 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( Z,
% 0.94/1.34 'tc_Complex_Ocomplex' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.34 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.94/1.34 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 0.94/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.34 'c_Polynomial_Opoly'( X,
% 0.94/1.34 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1'(
% 0.94/1.34 X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( X, Y,
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.34 'c_Polynomial_Opoly'( 'v_ds____', X, 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'v_m____', 'tc_RealDef_Oreal' ), ~(
% 0.94/1.34 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.94/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'v_x____', 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( 'v_d____', 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'v_m____', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ ~( =( 'v_d____', 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) )
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.34 'c_RealVector_Oof__real'( 'v_x____', 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.94/1.34 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.34 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.94/1.34 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.94/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.94/1.34 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.94/1.34 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_d____', 'v_ds____'
% 0.94/1.34 , 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ), =( X,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.94/1.34 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.34 [ ~( =( 'c_RealVector_Oof__real'( 'v_x____', 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.34 T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.34 X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.34 T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.94/1.34 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.94/1.34 =( Y, Z ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_d____', 'v_ds____'
% 0.94/1.34 , 'tc_Complex_Ocomplex' ), 'c_RealVector_Oof__real'( 'v_x____',
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.34 [ ~( =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_RealVector_Oof__real'( 'v_x____', 'tc_Complex_Ocomplex' ),
% 0.94/1.34 'c_Polynomial_Opoly'( 'v_ds____', 'c_RealVector_Oof__real'( 'v_x____',
% 0.94/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.94/1.34 , 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( 'v_d____',
% 0.94/1.34 'tc_Complex_Ocomplex' ) ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.94/1.34 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.94/1.34 ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.94/1.34 ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.94/1.34 ],
% 0.94/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.94/1.34 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.94/1.34 ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.94/1.34 ],
% 0.94/1.34 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.94/1.34 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.94/1.34 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.94/1.34 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.94/1.34 ],
% 0.94/1.34 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.94/1.34 ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.94/1.34 ],
% 0.94/1.34 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.94/1.34 ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.94/1.34 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.94/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.94/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.94/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.94/1.34 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.94/1.34 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.94/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.94/1.34 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.94/1.34 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.94/1.34 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.94/1.34 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.94/1.34 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.94/1.34 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.34 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.34 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.34 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.94/1.34 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.94/1.34 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.94/1.34 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.94/1.34 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.94/1.34 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.94/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.94/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.94/1.34 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.94/1.34 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.34 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.94/1.34 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.94/1.34 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.94/1.34 X ) ) ]
% 0.94/1.34 ] .
% 0.94/1.34
% 0.94/1.34
% 0.94/1.34 percentage equality = 0.188546, percentage horn = 0.875000
% 0.94/1.34 This is a problem with some equality
% 0.94/1.34
% 0.94/1.34
% 0.94/1.34
% 0.94/1.34 Options Used:
% 0.94/1.34
% 0.94/1.34 useres = 1
% 0.94/1.34 useparamod = 1
% 0.94/1.34 useeqrefl = 1
% 0.94/1.34 useeqfact = 1
% 0.94/1.34 usefactor = 1
% 0.94/1.34 usesimpsplitting = 0
% 0.94/1.34 usesimpdemod = 5
% 0.94/1.34 usesimpres = 3
% 0.94/1.34
% 0.94/1.34 resimpinuse = 1000
% 0.94/1.34 resimpclauses = 20000
% 0.94/1.34 substype = eqrewr
% 0.94/1.34 backwardsubs = 1
% 0.94/1.34 selectoldest = 5
% 0.94/1.34
% 0.94/1.34 litorderings [0] = split
% 0.94/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.94/1.34
% 0.94/1.34 termordering = kbo
% 0.94/1.34
% 0.94/1.34 litapriori = 0
% 0.94/1.34 termapriori = 1
% 0.94/1.34 litaposteriori = 0
% 0.94/1.34 termaposteriori = 0
% 0.94/1.34 demodaposteriori = 0
% 0.94/1.34 ordereqreflfact = 0
% 0.94/1.34
% 0.94/1.34 litselect = negord
% 0.94/1.34
% 0.94/1.34 maxweight = 15
% 0.94/1.34 maxdepth = 30000
% 0.94/1.34 maxlength = 115
% 0.94/1.34 maxnrvars = 195
% 0.94/1.34 excuselevel = 1
% 0.94/1.34 increasemaxweight = 1
% 0.94/1.34
% 0.94/1.34 maxselected = 10000000
% 0.94/1.34 maxnrclauses = 10000000
% 0.94/1.34
% 0.94/1.34 showgenerated = 0
% 0.94/1.34 showkept = 0
% 0.94/1.34 showselected = 0
% 0.94/1.34 showdeleted = 0
% 0.94/1.34 showresimp = 1
% 0.94/1.34 showstatus = 2000
% 0.94/1.34
% 0.94/1.34 prologoutput = 1
% 0.94/1.34 nrgoals = 5000000
% 0.94/1.34 totalproof = 1
% 0.94/1.34
% 0.94/1.34 Symbols occurring in the translation:
% 0.94/1.34
% 0.94/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.34 . [1, 2] (w:1, o:144, a:1, s:1, b:0),
% 0.94/1.34 ! [4, 1] (w:0, o:59, a:1, s:1, b:0),
% 0.94/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.34 'c_Complex_Ocomplex_OComplex' [41, 2] (w:1, o:169, a:1, s:1, b:0),
% 0.94/1.34 'class_Ring__and__Field_Oordered__field' [45, 1] (w:1, o:69, a:1, s:1
% 0.94/1.34 , b:0),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero' [47, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.94/1.34 'c_HOL_Oord__class_Oless' [48, 3] (w:1, o:179, a:1, s:1, b:0),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse' [49, 2] (w:1, o:170, a:1, s:1, b:0)
% 0.94/1.34 ,
% 0.94/1.34 'class_RealVector_Oreal__normed__field' [50, 1] (w:1, o:71, a:1, s:1
% 0.94/1.34 , b:0),
% 0.94/1.34 'c_HOL_Ominus__class_Ominus' [52, 3] (w:1, o:180, a:1, s:1, b:0),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide' [54, 3] (w:1, o:181, a:1, s:1, b:0),
% 0.94/1.34
% 0.94/1.34 'c_HOL_Otimes__class_Otimes' [55, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus' [56, 2] (w:1, o:171, a:1, s:1, b:0),
% 0.94/1.34 'class_RealVector_Oreal__normed__vector' [57, 1] (w:1, o:72, a:1, s:1
% 0.94/1.34 , b:0),
% 0.94/1.34 'c_HOL_Osgn__class_Osgn' [59, 2] (w:1, o:172, a:1, s:1, b:0),
% 0.94/1.34 'c_RealVector_Onorm__class_Onorm' [60, 2] (w:1, o:173, a:1, s:1, b:0)
% 0.94/1.34 ,
% 0.94/1.34 'tc_RealDef_Oreal' [61, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.94/1.34 'c_HOL_Oone__class_Oone' [62, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.94/1.34 'class_Ring__and__Field_Oordered__semidom' [63, 1] (w:1, o:75, a:1
% 0.94/1.34 , s:1, b:0),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus' [65, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.94/1.34 'class_HOL_Ozero' [66, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.94/1.34 'c_Polynomial_OpCons' [68, 3] (w:1, o:184, a:1, s:1, b:0),
% 0.94/1.34 'class_OrderedGroup_Ogroup__add' [70, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.94/1.34
% 0.94/1.34 'class_OrderedGroup_Opordered__ab__group__add__abs' [71, 1] (w:1, o:
% 0.94/1.34 79, a:1, s:1, b:0),
% 0.94/1.34 'c_lessequals' [72, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.94/1.34 'c_HOL_Oabs__class_Oabs' [73, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.94/1.34 'class_Ring__and__Field_Oordered__semiring__strict' [74, 1] (w:1, o:
% 0.94/1.34 80, a:1, s:1, b:0),
% 0.94/1.34 'class_Ring__and__Field_Oordered__ring__strict' [75, 1] (w:1, o:74
% 0.94/1.34 , a:1, s:1, b:0),
% 0.94/1.34 'class_Divides_Osemiring__div' [76, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.94/1.34 'c_Divides_Odiv__class_Omod' [77, 3] (w:1, o:186, a:1, s:1, b:0),
% 0.94/1.34 'class_Ring__and__Field_Oordered__idom' [78, 1] (w:1, o:83, a:1, s:1
% 0.94/1.34 , b:0),
% 0.94/1.34 'class_Ring__and__Field_Ocomm__semiring__1' [79, 1] (w:1, o:87, a:1
% 0.94/1.34 , s:1, b:0),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd' [80, 3] (w:1, o:187, a:1, s:1
% 1.62/2.03 , b:0),
% 1.62/2.03 'class_OrderedGroup_Opordered__ab__group__add' [81, 1] (w:1, o:88, a:
% 1.62/2.03 1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Oring__1__no__zero__divisors' [82, 1] (w:1
% 1.62/2.03 , o:89, a:1, s:1, b:0),
% 1.62/2.03 'c_Power_Opower__class_Opower' [84, 3] (w:1, o:188, a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Ozero__neq__one' [85, 1] (w:1, o:90, a:1, s:1
% 1.62/2.03 , b:0),
% 1.62/2.03 'class_Ring__and__Field_Ono__zero__divisors' [86, 1] (w:1, o:68, a:1
% 1.62/2.03 , s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Omult__zero' [87, 1] (w:1, o:65, a:1, s:1, b:
% 1.62/2.03 0),
% 1.62/2.03 'class_Power_Opower' [88, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Odivision__by__zero' [89, 1] (w:1, o:113, a:1
% 1.62/2.03 , s:1, b:0),
% 1.62/2.03 'class_OrderedGroup_Olordered__ab__group__add' [90, 1] (w:1, o:91, a:
% 1.62/2.03 1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Opordered__ring__abs' [91, 1] (w:1, o:116, a:
% 1.62/2.03 1, s:1, b:0),
% 1.62/2.03 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [92, 1]
% 1.62/2.03 (w:1, o:92, a:1, s:1, b:0),
% 1.62/2.03 'class_OrderedGroup_Opordered__ab__semigroup__add' [93, 1] (w:1, o:93
% 1.62/2.03 , a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Oidom' [94, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.62/2.03 'class_RealVector_Oreal__vector' [95, 1] (w:1, o:118, a:1, s:1, b:0)
% 1.62/2.03 ,
% 1.62/2.03 'c_RealVector_OscaleR__class_OscaleR' [97, 3] (w:1, o:189, a:1, s:1
% 1.62/2.03 , b:0),
% 1.62/2.03 'class_Orderings_Olinorder' [99, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Ofield' [100, 1] (w:1, o:119, a:1, s:1, b:0)
% 1.62/2.03 ,
% 1.62/2.03 'class_Ring__and__Field_Omult__mono1' [101, 1] (w:1, o:66, a:1, s:1
% 1.62/2.03 , b:0),
% 1.62/2.03 'class_Ring__and__Field_Omult__mono' [102, 1] (w:1, o:67, a:1, s:1
% 1.62/2.03 , b:0),
% 1.62/2.03 'class_Ring__and__Field_Opordered__ring' [103, 1] (w:1, o:120, a:1
% 1.62/2.03 , s:1, b:0),
% 1.62/2.03 'class_Int_Onumber__ring' [104, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Odivision__ring' [107, 1] (w:1, o:122, a:1
% 1.62/2.03 , s:1, b:0),
% 1.62/2.03 'tc_Complex_Ocomplex' [109, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.62/2.03 'c_Complex_ORe' [110, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Ocomm__semiring__0' [111, 1] (w:1, o:86, a:1
% 1.62/2.03 , s:1, b:0),
% 1.62/2.03 'c_Polynomial_Osmult' [112, 3] (w:1, o:190, a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Odvd' [115, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Ocomm__ring' [116, 1] (w:1, o:84, a:1, s:1
% 1.62/2.03 , b:0),
% 1.62/2.03 'class_Orderings_Oorder' [120, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Opordered__cancel__semiring' [121, 1] (w:1
% 1.62/2.03 , o:125, a:1, s:1, b:0),
% 1.62/2.03 'class_RealVector_Oreal__algebra__1' [122, 1] (w:1, o:126, a:1, s:1
% 1.62/2.03 , b:0),
% 1.62/2.03 'c_RealVector_Oof__real' [123, 2] (w:1, o:175, a:1, s:1, b:0),
% 1.62/2.03 'class_OrderedGroup_Oordered__ab__group__add' [128, 1] (w:1, o:78, a:
% 1.62/2.03 1, s:1, b:0),
% 1.62/2.03 'c_Complex_Orcis' [129, 2] (w:1, o:176, a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Opordered__semiring' [130, 1] (w:1, o:127, a:
% 1.62/2.03 1, s:1, b:0),
% 1.62/2.03 'c_Polynomial_Omonom' [131, 3] (w:1, o:191, a:1, s:1, b:0),
% 1.62/2.03 'class_Lattices_Oboolean__algebra' [132, 1] (w:1, o:128, a:1, s:1, b:
% 1.62/2.03 0),
% 1.62/2.03 'class_OrderedGroup_Olordered__ab__group__add__abs' [133, 1] (w:1, o:
% 1.62/2.03 96, a:1, s:1, b:0),
% 1.62/2.03 'c_Complex_Ocnj' [134, 1] (w:1, o:129, a:1, s:1, b:0),
% 1.62/2.03 'class_OrderedGroup_Opordered__comm__monoid__add' [135, 1] (w:1, o:97
% 1.62/2.03 , a:1, s:1, b:0),
% 1.62/2.03 'class_Ring__and__Field_Osgn__if' [136, 1] (w:1, o:133, a:1, s:1, b:0
% 1.62/2.03 ),
% 1.62/2.03 'class_Ring__and__Field_Ocomm__ring__1' [138, 1] (w:1, o:85, a:1, s:1
% 1.62/2.03 , b:0),
% 1.62/2.03 'class_OrderedGroup_Oab__group__add' [139, 1] (w:1, o:98, a:1, s:1
% 1.62/2.03 , b:0),
% 1.62/2.03 'class_Ring__and__Field_Oabs__if' [140, 1] (w:1, o:134, a:1, s:1, b:0
% 1.62/2.03 ),
% 1.62/2.03 'class_Ring__and__Field_Oordered__semiring' [141, 1] (w:1, o:114, a:1
% 1.62/2.03 , s:1, b:0),
% 1.62/2.03 'class_OrderedGroup_Ocomm__monoid__add' [144, 1] (w:1, o:99, a:1, s:1
% 1.62/2.03 , b:0),
% 1.62/2.03 'class_Ring__and__Field_Oring' [145, 1] (w:1, o:130, a:1, s:1, b:0),
% 1.62/2.03
% 1.62/2.03 'class_Ring__and__Field_Olordered__ring' [146, 1] (w:1, o:64, a:1, s:
% 1.62/2.03 1, b:0),
% 1.62/2.03 'class_Divides_Oring__div' [147, 1] (w:1, o:81, a:1, s:1, b:0),
% 7.61/8.01 'class_OrderedGroup_Ocancel__ab__semigroup__add' [148, 1] (w:1, o:100
% 7.61/8.01 , a:1, s:1, b:0),
% 7.61/8.01 'class_OrderedGroup_Ocancel__semigroup__add' [149, 1] (w:1, o:101, a:
% 7.61/8.01 1, s:1, b:0),
% 7.61/8.01 'class_RealVector_Oreal__normed__algebra__1' [150, 1] (w:1, o:135, a:
% 7.61/8.01 1, s:1, b:0),
% 7.61/8.01 'class_OrderedGroup_Omonoid__mult' [151, 1] (w:1, o:102, a:1, s:1, b:
% 7.61/8.01 0),
% 7.61/8.01 'class_RealVector_Oreal__field' [153, 1] (w:1, o:136, a:1, s:1, b:0)
% 7.61/8.01 ,
% 7.61/8.01 'tc_Polynomial_Opoly' [154, 1] (w:1, o:137, a:1, s:1, b:0),
% 7.61/8.01 'c_Polynomial_Opoly' [155, 3] (w:1, o:192, a:1, s:1, b:0),
% 7.61/8.01 'class_Orderings_Opreorder' [156, 1] (w:1, o:103, a:1, s:1, b:0),
% 7.61/8.01 'class_OrderedGroup_Oab__semigroup__add' [157, 1] (w:1, o:104, a:1
% 7.61/8.01 , s:1, b:0),
% 7.61/8.01 'class_RealVector_Oreal__normed__algebra' [159, 1] (w:1, o:138, a:1
% 7.61/8.01 , s:1, b:0),
% 7.61/8.01 'class_Ring__and__Field_Oring__1' [161, 1] (w:1, o:131, a:1, s:1, b:0
% 7.61/8.01 ),
% 7.61/8.01 'c_Complex_Ocis' [163, 1] (w:1, o:139, a:1, s:1, b:0),
% 7.61/8.01 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [164, 1]
% 7.61/8.01 (w:1, o:105, a:1, s:1, b:0),
% 7.61/8.01 'class_Ring__and__Field_Oordered__comm__semiring__strict' [165, 1]
% 7.61/8.01 (w:1, o:115, a:1, s:1, b:0),
% 7.61/8.01 'class_OrderedGroup_Omonoid__add' [166, 1] (w:1, o:106, a:1, s:1, b:0
% 7.61/8.01 ),
% 7.61/8.01 'v_x____' [167, 0] (w:1, o:52, a:1, s:1, b:0),
% 7.61/8.01 'class_RealVector_Oreal__normed__div__algebra' [168, 1] (w:1, o:140
% 7.61/8.01 , a:1, s:1, b:0),
% 7.61/8.01 'class_Ring__and__Field_Oring__no__zero__divisors' [169, 1] (w:1, o:
% 7.61/8.01 132, a:1, s:1, b:0),
% 7.61/8.01 'class_RealVector_Oreal__algebra' [170, 1] (w:1, o:141, a:1, s:1, b:0
% 7.61/8.01 ),
% 7.61/8.01 'class_Ring__and__Field_Ocomm__semiring' [174, 1] (w:1, o:112, a:1
% 7.61/8.01 , s:1, b:0),
% 7.61/8.01 'class_OrderedGroup_Ocomm__monoid__mult' [175, 1] (w:1, o:107, a:1
% 7.61/8.01 , s:1, b:0),
% 7.61/8.01 'class_Ring__and__Field_Osemiring' [176, 1] (w:1, o:142, a:1, s:1, b:
% 7.61/8.01 0),
% 7.61/8.01 'c_Polynomial_Opcompose' [178, 3] (w:1, o:193, a:1, s:1, b:0),
% 7.61/8.01
% 7.61/8.01 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'
% 7.61/8.01 [179, 2] (w:1, o:177, a:1, s:1, b:0),
% 7.61/8.01 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 7.61/8.01 [180, 2] (w:1, o:178, a:1, s:1, b:0),
% 7.61/8.01
% 7.61/8.01 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1'
% 7.61/8.01 [181, 1] (w:1, o:143, a:1, s:1, b:0),
% 7.61/8.01 'v_ds____' [182, 0] (w:1, o:54, a:1, s:1, b:0),
% 7.61/8.01 'v_m____' [183, 0] (w:1, o:55, a:1, s:1, b:0),
% 7.61/8.01 'v_d____' [184, 0] (w:1, o:56, a:1, s:1, b:0),
% 7.61/8.01 'class_OrderedGroup_Oab__semigroup__mult' [189, 1] (w:1, o:108, a:1
% 7.61/8.01 , s:1, b:0),
% 7.61/8.01 'class_OrderedGroup_Oab__semigroup__idem__mult' [190, 1] (w:1, o:109
% 7.61/8.01 , a:1, s:1, b:0),
% 7.61/8.01 'class_OrderedGroup_Ocancel__comm__monoid__add' [192, 1] (w:1, o:110
% 7.61/8.01 , a:1, s:1, b:0),
% 7.61/8.01 'tc_nat' [193, 0] (w:1, o:58, a:1, s:1, b:0).
% 7.61/8.01
% 7.61/8.01
% 7.61/8.01 Starting Search:
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01
% 7.61/8.01 Intermediate Status:
% 7.61/8.01 Generated: 5116
% 7.61/8.01 Kept: 2005
% 7.61/8.01 Inuse: 76
% 7.61/8.01 Deleted: 0
% 7.61/8.01 Deletedinuse: 0
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01
% 7.61/8.01 Intermediate Status:
% 7.61/8.01 Generated: 9714
% 7.61/8.01 Kept: 4037
% 7.61/8.01 Inuse: 191
% 7.61/8.01 Deleted: 0
% 7.61/8.01 Deletedinuse: 0
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01
% 7.61/8.01 Intermediate Status:
% 7.61/8.01 Generated: 15633
% 7.61/8.01 Kept: 6055
% 7.61/8.01 Inuse: 266
% 7.61/8.01 Deleted: 0
% 7.61/8.01 Deletedinuse: 0
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01
% 7.61/8.01 Intermediate Status:
% 7.61/8.01 Generated: 23761
% 7.61/8.01 Kept: 8082
% 7.61/8.01 Inuse: 291
% 7.61/8.01 Deleted: 0
% 7.61/8.01 Deletedinuse: 0
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01
% 7.61/8.01 Intermediate Status:
% 7.61/8.01 Generated: 29233
% 7.61/8.01 Kept: 10144
% 7.61/8.01 Inuse: 344
% 7.61/8.01 Deleted: 2
% 7.61/8.01 Deletedinuse: 0
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01
% 7.61/8.01 Intermediate Status:
% 7.61/8.01 Generated: 49117
% 7.61/8.01 Kept: 12912
% 7.61/8.01 Inuse: 384
% 7.61/8.01 Deleted: 2
% 7.61/8.01 Deletedinuse: 0
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01
% 7.61/8.01 Intermediate Status:
% 7.61/8.01 Generated: 57547
% 7.61/8.01 Kept: 16057
% 7.61/8.01 Inuse: 433
% 7.61/8.01 Deleted: 3
% 7.61/8.01 Deletedinuse: 0
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01 Resimplifying inuse:
% 7.61/8.01 Done
% 7.61/8.01
% 7.61/8.01
% 7.61/8.01 Intermediate Status:
% 7.61/8.01 Generated: 63352
% 7.61/8.01 Kept: 19395
% 28.46/28.86 Inuse: 443
% 28.46/28.86 Deleted: 3
% 28.46/28.86 Deletedinuse: 0
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying clauses:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 69343
% 28.46/28.86 Kept: 21409
% 28.46/28.86 Inuse: 484
% 28.46/28.86 Deleted: 119
% 28.46/28.86 Deletedinuse: 0
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 78243
% 28.46/28.86 Kept: 23442
% 28.46/28.86 Inuse: 499
% 28.46/28.86 Deleted: 119
% 28.46/28.86 Deletedinuse: 0
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 86467
% 28.46/28.86 Kept: 25458
% 28.46/28.86 Inuse: 543
% 28.46/28.86 Deleted: 119
% 28.46/28.86 Deletedinuse: 0
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 95412
% 28.46/28.86 Kept: 28043
% 28.46/28.86 Inuse: 577
% 28.46/28.86 Deleted: 123
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 109012
% 28.46/28.86 Kept: 30054
% 28.46/28.86 Inuse: 601
% 28.46/28.86 Deleted: 123
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 118719
% 28.46/28.86 Kept: 32500
% 28.46/28.86 Inuse: 612
% 28.46/28.86 Deleted: 123
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 131525
% 28.46/28.86 Kept: 34519
% 28.46/28.86 Inuse: 638
% 28.46/28.86 Deleted: 123
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 141389
% 28.46/28.86 Kept: 36650
% 28.46/28.86 Inuse: 672
% 28.46/28.86 Deleted: 123
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 154506
% 28.46/28.86 Kept: 39595
% 28.46/28.86 Inuse: 692
% 28.46/28.86 Deleted: 123
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying clauses:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 162483
% 28.46/28.86 Kept: 41596
% 28.46/28.86 Inuse: 708
% 28.46/28.86 Deleted: 367
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 172653
% 28.46/28.86 Kept: 44155
% 28.46/28.86 Inuse: 717
% 28.46/28.86 Deleted: 367
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 179235
% 28.46/28.86 Kept: 46659
% 28.46/28.86 Inuse: 737
% 28.46/28.86 Deleted: 367
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 186844
% 28.46/28.86 Kept: 49191
% 28.46/28.86 Inuse: 752
% 28.46/28.86 Deleted: 367
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 198426
% 28.46/28.86 Kept: 51223
% 28.46/28.86 Inuse: 786
% 28.46/28.86 Deleted: 367
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 208462
% 28.46/28.86 Kept: 53273
% 28.46/28.86 Inuse: 807
% 28.46/28.86 Deleted: 367
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 219797
% 28.46/28.86 Kept: 55389
% 28.46/28.86 Inuse: 837
% 28.46/28.86 Deleted: 367
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 234549
% 28.46/28.86 Kept: 57770
% 28.46/28.86 Inuse: 867
% 28.46/28.86 Deleted: 367
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 244978
% 28.46/28.86 Kept: 60137
% 28.46/28.86 Inuse: 877
% 28.46/28.86 Deleted: 367
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying clauses:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 260215
% 28.46/28.86 Kept: 62406
% 28.46/28.86 Inuse: 932
% 28.46/28.86 Deleted: 476
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 268762
% 28.46/28.86 Kept: 64421
% 28.46/28.86 Inuse: 962
% 28.46/28.86 Deleted: 476
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 277459
% 28.46/28.86 Kept: 66631
% 28.46/28.86 Inuse: 982
% 28.46/28.86 Deleted: 476
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 291515
% 28.46/28.86 Kept: 69032
% 28.46/28.86 Inuse: 1017
% 28.46/28.86 Deleted: 476
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 307183
% 28.46/28.86 Kept: 71033
% 28.46/28.86 Inuse: 1052
% 28.46/28.86 Deleted: 476
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 28.46/28.86
% 28.46/28.86
% 28.46/28.86 Intermediate Status:
% 28.46/28.86 Generated: 321242
% 28.46/28.86 Kept: 73037
% 28.46/28.86 Inuse: 1087
% 28.46/28.86 Deleted: 476
% 28.46/28.86 Deletedinuse: 3
% 28.46/28.86
% 28.46/28.86 Resimplifying inuse:
% 28.46/28.86 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 336387
% 70.03/70.45 Kept: 75155
% 70.03/70.45 Inuse: 1118
% 70.03/70.45 Deleted: 476
% 70.03/70.45 Deletedinuse: 3
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 353026
% 70.03/70.45 Kept: 79360
% 70.03/70.45 Inuse: 1137
% 70.03/70.45 Deleted: 477
% 70.03/70.45 Deletedinuse: 3
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 373220
% 70.03/70.45 Kept: 81744
% 70.03/70.45 Inuse: 1146
% 70.03/70.45 Deleted: 479
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying clauses:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 386016
% 70.03/70.45 Kept: 84350
% 70.03/70.45 Inuse: 1171
% 70.03/70.45 Deleted: 814
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 412426
% 70.03/70.45 Kept: 86711
% 70.03/70.45 Inuse: 1181
% 70.03/70.45 Deleted: 814
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 423996
% 70.03/70.45 Kept: 88783
% 70.03/70.45 Inuse: 1226
% 70.03/70.45 Deleted: 814
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 434032
% 70.03/70.45 Kept: 90968
% 70.03/70.45 Inuse: 1251
% 70.03/70.45 Deleted: 814
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 451313
% 70.03/70.45 Kept: 93127
% 70.03/70.45 Inuse: 1276
% 70.03/70.45 Deleted: 814
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 473802
% 70.03/70.45 Kept: 96238
% 70.03/70.45 Inuse: 1286
% 70.03/70.45 Deleted: 814
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 488718
% 70.03/70.45 Kept: 98512
% 70.03/70.45 Inuse: 1301
% 70.03/70.45 Deleted: 814
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 516412
% 70.03/70.45 Kept: 101921
% 70.03/70.45 Inuse: 1321
% 70.03/70.45 Deleted: 814
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying clauses:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 530105
% 70.03/70.45 Kept: 107173
% 70.03/70.45 Inuse: 1346
% 70.03/70.45 Deleted: 978
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 540675
% 70.03/70.45 Kept: 109200
% 70.03/70.45 Inuse: 1354
% 70.03/70.45 Deleted: 978
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 549541
% 70.03/70.45 Kept: 111231
% 70.03/70.45 Inuse: 1375
% 70.03/70.45 Deleted: 978
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 557886
% 70.03/70.45 Kept: 113249
% 70.03/70.45 Inuse: 1394
% 70.03/70.45 Deleted: 978
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 575312
% 70.03/70.45 Kept: 115989
% 70.03/70.45 Inuse: 1406
% 70.03/70.45 Deleted: 978
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 587863
% 70.03/70.45 Kept: 117999
% 70.03/70.45 Inuse: 1424
% 70.03/70.45 Deleted: 978
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 606039
% 70.03/70.45 Kept: 120796
% 70.03/70.45 Inuse: 1431
% 70.03/70.45 Deleted: 978
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying clauses:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 614803
% 70.03/70.45 Kept: 122839
% 70.03/70.45 Inuse: 1451
% 70.03/70.45 Deleted: 1161
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 626030
% 70.03/70.45 Kept: 124847
% 70.03/70.45 Inuse: 1480
% 70.03/70.45 Deleted: 1161
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 634544
% 70.03/70.45 Kept: 126967
% 70.03/70.45 Inuse: 1501
% 70.03/70.45 Deleted: 1161
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 642732
% 70.03/70.45 Kept: 128968
% 70.03/70.45 Inuse: 1521
% 70.03/70.45 Deleted: 1161
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 653810
% 70.03/70.45 Kept: 131515
% 70.03/70.45 Inuse: 1541
% 70.03/70.45 Deleted: 1161
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 668099
% 70.03/70.45 Kept: 133715
% 70.03/70.45 Inuse: 1556
% 70.03/70.45 Deleted: 1161
% 70.03/70.45 Deletedinuse: 5
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45 Resimplifying inuse:
% 70.03/70.45 Done
% 70.03/70.45
% 70.03/70.45
% 70.03/70.45 Intermediate Status:
% 70.03/70.45 Generated: 677469
% 70.03/70.45 Kept: 135725
% 70.03/70.45 Inuse: 1583
% 164.25/164.67 Deleted: 1161
% 164.25/164.67 Deletedinuse: 5
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 689383
% 164.25/164.67 Kept: 137752
% 164.25/164.67 Inuse: 1613
% 164.25/164.67 Deleted: 1161
% 164.25/164.67 Deletedinuse: 5
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 703241
% 164.25/164.67 Kept: 140055
% 164.25/164.67 Inuse: 1651
% 164.25/164.67 Deleted: 1161
% 164.25/164.67 Deletedinuse: 5
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 717052
% 164.25/164.67 Kept: 143309
% 164.25/164.67 Inuse: 1671
% 164.25/164.67 Deleted: 1161
% 164.25/164.67 Deletedinuse: 5
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying clauses:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 727913
% 164.25/164.67 Kept: 145640
% 164.25/164.67 Inuse: 1691
% 164.25/164.67 Deleted: 1559
% 164.25/164.67 Deletedinuse: 6
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 744479
% 164.25/164.67 Kept: 151405
% 164.25/164.67 Inuse: 1706
% 164.25/164.67 Deleted: 1559
% 164.25/164.67 Deletedinuse: 6
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 758150
% 164.25/164.67 Kept: 154021
% 164.25/164.67 Inuse: 1721
% 164.25/164.67 Deleted: 1559
% 164.25/164.67 Deletedinuse: 6
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 765100
% 164.25/164.67 Kept: 156040
% 164.25/164.67 Inuse: 1737
% 164.25/164.67 Deleted: 1559
% 164.25/164.67 Deletedinuse: 6
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 772594
% 164.25/164.67 Kept: 158061
% 164.25/164.67 Inuse: 1754
% 164.25/164.67 Deleted: 1559
% 164.25/164.67 Deletedinuse: 6
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 783812
% 164.25/164.67 Kept: 160066
% 164.25/164.67 Inuse: 1785
% 164.25/164.67 Deleted: 1560
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 803006
% 164.25/164.67 Kept: 167462
% 164.25/164.67 Inuse: 1801
% 164.25/164.67 Deleted: 1560
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying clauses:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 817124
% 164.25/164.67 Kept: 171055
% 164.25/164.67 Inuse: 1806
% 164.25/164.67 Deleted: 1802
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 837473
% 164.25/164.67 Kept: 174546
% 164.25/164.67 Inuse: 1816
% 164.25/164.67 Deleted: 1802
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 849534
% 164.25/164.67 Kept: 176584
% 164.25/164.67 Inuse: 1849
% 164.25/164.67 Deleted: 1802
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 860188
% 164.25/164.67 Kept: 178906
% 164.25/164.67 Inuse: 1856
% 164.25/164.67 Deleted: 1802
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 874278
% 164.25/164.67 Kept: 180908
% 164.25/164.67 Inuse: 1886
% 164.25/164.67 Deleted: 1802
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 888305
% 164.25/164.67 Kept: 183232
% 164.25/164.67 Inuse: 1916
% 164.25/164.67 Deleted: 1802
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 899745
% 164.25/164.67 Kept: 185252
% 164.25/164.67 Inuse: 1941
% 164.25/164.67 Deleted: 1802
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 920452
% 164.25/164.67 Kept: 188345
% 164.25/164.67 Inuse: 1966
% 164.25/164.67 Deleted: 1802
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying clauses:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 932106
% 164.25/164.67 Kept: 191387
% 164.25/164.67 Inuse: 1971
% 164.25/164.67 Deleted: 2142
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 950425
% 164.25/164.67 Kept: 193451
% 164.25/164.67 Inuse: 2011
% 164.25/164.67 Deleted: 2142
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 963553
% 164.25/164.67 Kept: 195792
% 164.25/164.67 Inuse: 2031
% 164.25/164.67 Deleted: 2142
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 980087
% 164.25/164.67 Kept: 200299
% 164.25/164.67 Inuse: 2043
% 164.25/164.67 Deleted: 2142
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 996355
% 164.25/164.67 Kept: 203129
% 164.25/164.67 Inuse: 2044
% 164.25/164.67 Deleted: 2142
% 164.25/164.67 Deletedinuse: 7
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67 Resimplifying inuse:
% 164.25/164.67 Done
% 164.25/164.67
% 164.25/164.67
% 164.25/164.67 Intermediate Status:
% 164.25/164.67 Generated: 1005810
% 164.25/164.67 Kept: 205475
% 164.25/164.67 Inuse: 2061
% 164.25/164.67 Deleted:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------