TSTP Solution File: ALG399-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG399-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:44 EDT 2022
% Result : Unsatisfiable 0.80s 1.18s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : ALG399-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.09 % Command : bliksem %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % DateTime : Wed Jun 8 15:46:06 EDT 2022
% 0.09/0.27 % CPUTime :
% 0.80/1.16 *** allocated 10000 integers for termspace/termends
% 0.80/1.16 *** allocated 10000 integers for clauses
% 0.80/1.16 *** allocated 10000 integers for justifications
% 0.80/1.16 *** allocated 15000 integers for termspace/termends
% 0.80/1.16 *** allocated 22500 integers for termspace/termends
% 0.80/1.16 Bliksem 1.12
% 0.80/1.16
% 0.80/1.16
% 0.80/1.16 Automatic Strategy Selection
% 0.80/1.16
% 0.80/1.16 Clauses:
% 0.80/1.16 [
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.16 ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.80/1.16 ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.16 ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.16 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.80/1.16 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.16 , T, X ) ) ), =( Z, T ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.16 , T, X ) ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 0.80/1.16 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, U, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.16 Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.16 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.16 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.16 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.16 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.16 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.16 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.16 , U, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.16 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.80/1.16 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.80/1.16 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z
% 0.80/1.16 , 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.80/1.16 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.80/1.16 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.80/1.16 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.80/1.16 ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.16 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.16 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.80/1.16 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.16 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.16 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.80/1.16 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.16 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.80/1.16 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.16 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 ), =( Z, T ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.16 , T, X ), X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.16 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.80/1.16 ), Y ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.80/1.16 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.16 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.80/1.16 ), X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.16 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.16 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.80/1.16 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( Y, Z, 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) ), T
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( T, Y
% 0.80/1.16 , X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.80/1.16 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.80/1.16 , X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.16 , X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.16 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.80/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.16 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.80/1.16 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.16 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.80/1.16 , X ), T, X ), W, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.16 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.16 , X ), W, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.16 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.16 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.16 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.16 , T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.16 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.80/1.16 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.80/1.16 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.16 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.16 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.80/1.16 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.16 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.80/1.16 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.16 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.16 Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.16 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.80/1.16 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.80/1.16 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.16 , X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.16 , X ) ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.16 , X ) ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.80/1.16 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.80/1.16 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.16 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.16 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.16 ), Y ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.80/1.16 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.80/1.16 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.16 , Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.16 ), Y ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.16 ), Y ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.16 ), Y ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.16 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.16 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 , X ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.80/1.16 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.80/1.16 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.16 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.16 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.16 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.16 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.80/1.16 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.16 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.16 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.16 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.16 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.16 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.80/1.16 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.16 Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.16 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 , T, X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.16 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 , T, X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.80/1.16 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.80/1.16 ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.80/1.16 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.80/1.16 ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.80/1.16 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.80/1.16 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 , Z, X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.80/1.16 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 , Z, X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.80/1.16 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.80/1.16 , Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.80/1.16 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.80/1.16 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.16 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.16 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 Y, T, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.16 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 Y, T, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.80/1.16 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.80/1.16 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.80/1.16 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.16 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.16 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.16 Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.16 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.16 , Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.80/1.16 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.16 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.80/1.16 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.80/1.16 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.16 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.16 ), =( Z, Y ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y,
% 0.80/1.16 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.80/1.16 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.80/1.16 X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.80/1.16 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.16 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.16 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.16 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.16 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.16 , Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.80/1.16 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.16 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.16 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.16 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.16 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.80/1.16 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.16 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.80/1.16 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.80/1.16 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.16 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.80/1.16 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.80/1.16 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.16 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.16 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.80/1.16 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.80/1.16 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.16 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.16 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 Y, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.16 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.80/1.16 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.80/1.16 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.80/1.16 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.80/1.16 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.80/1.16 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.16 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.80/1.16 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.16 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.16 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.16 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.80/1.16 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.16 X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.80/1.16 Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.80/1.16 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.16 Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.80/1.16 X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.80/1.16 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.16 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.16 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.16 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.80/1.16 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.80/1.16 X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.16 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.16 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.16 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.16 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.16 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.16 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.80/1.16 Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.16 , T, X ), X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.17 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.17 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.80/1.17 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 Y, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.17 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.17 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.17 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.17 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.80/1.17 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.80/1.17 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.80/1.17 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.80/1.17 , X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.80/1.17 , X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.17 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.17 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.17 , Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.17 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.80/1.17 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.17 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.17 , Y, X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , Z, X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , Z, X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.17 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.17 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.17 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.17 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.17 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.17 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.17 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.17 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.17 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.17 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.17 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.17 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.17 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.17 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 Y, T, X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.80/1.17 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.80/1.17 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.80/1.17 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.17 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.80/1.17 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.17 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.80/1.17 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.80/1.17 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.17 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.17 Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.80/1.17 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.80/1.17 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.17 Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.17 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.17 , X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.17 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.17 , T, X ), X ), T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.17 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.80/1.17 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.17 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.80/1.17 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.80/1.17 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.17 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.80/1.17 X ) ) ), =( Z, T ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.80/1.17 X ) ) ), =( Z, T ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.17 X ) ) ), =( Y, T ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.17 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.80/1.17 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.17 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 0.80/1.17 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.17 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.80/1.17 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.17 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.80/1.17 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.80/1.17 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.80/1.17 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.17 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.17 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.17 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.17 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.80/1.17 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.17 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.17 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.17 , X ), W, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.80/1.17 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.80/1.17 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.17 ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.17 ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.17 ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.17 ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.80/1.17 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.80/1.17 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.80/1.17 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.17 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 0.80/1.17 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, T, U, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.17 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.80/1.17 W, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.17 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 0.80/1.17 ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.17 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.17 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 Y, X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.80/1.17 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.80/1.17 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.80/1.17 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.17 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.80/1.17 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.80/1.17 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.80/1.17 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.80/1.17 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.80/1.17 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.80/1.17 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.17 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.17 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.17 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.17 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.17 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.80/1.17 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.17 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.17 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.17 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.17 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.17 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.17 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.17 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.17 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.80/1.17 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.80/1.17 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.80/1.17 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.80/1.17 , X ), T, X ), W, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.80/1.17 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.80/1.17 W, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.80/1.17 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.17 , X ), W, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.17 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.80/1.17 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.80/1.17 Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.17 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.17 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.17 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.80/1.17 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.17 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.80/1.17 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.80/1.17 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.17 Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.17 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.80/1.17 ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.80/1.17 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.17 , Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.17 , Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.17 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.17 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.17 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.80/1.17 X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.17 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.80/1.17 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.17 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.17 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.80/1.17 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.80/1.17 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.80/1.17 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.17 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.80/1.17 ), Y, X ) ), =( Z, T ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.80/1.17 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.80/1.17 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.80/1.17 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.80/1.17 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 0.80/1.17 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 0.80/1.17 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, Z ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.17 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.17 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.17 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.17 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.17 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.80/1.17 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.17 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.17 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.17 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.17 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.17 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.17 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.80/1.17 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.17 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.17 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.17 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.17 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.80/1.17 , X ), X ), Y ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.17 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.17 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.17 Y, X ), X ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.80/1.17 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.80/1.17 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.17 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ), T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.17 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.17 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.17 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.80/1.17 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.80/1.17 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.80/1.17 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.80/1.17 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.17 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.80/1.17 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'(
% 0.80/1.17 X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( 'c_Polynomial_Opoly'( X
% 0.80/1.17 , Y, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Omod'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.80/1.17 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.80/1.17 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.80/1.17 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.17 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.17 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 0.80/1.17 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.80/1.17 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 0.80/1.17 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.17 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.80/1.17 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 0.80/1.17 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.80/1.17 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.80/1.17 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.80/1.17 ],
% 0.80/1.17 [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oinverse__class_Oinverse'( Y,
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.17 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.17 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.17 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.80/1.17 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.80/1.17 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_Divides_Odiv__class_Odiv'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 'c_Divides_Odiv__class_Odiv'( Y
% 0.80/1.17 , T, 'tc_Polynomial_Opoly'( X ) ), X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), U, X ),
% 0.80/1.17 W, X ), ~( 'c_Polynomial_Opdivmod__rel'( Y, T, U, W, X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( 'v_q____',
% 0.80/1.17 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'(
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'v_q____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_x____', 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( 'v_q____', X, 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.80/1.17 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 0.80/1.17 'v_q____', 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.80/1.17 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.80/1.17 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.80/1.17 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( =( 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.17 X ), T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.17 T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.17 X ), T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.17 T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.17 X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.17 T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.80/1.17 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'v_q____', 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.80/1.17 ), X ), Y ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.17 , Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.17 , Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.80/1.17 ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.17 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'c_Polynomial_Opoly'( 'v_q____', 'v_y____', 'tc_Complex_Ocomplex' ) ) )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.80/1.17 ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.80/1.17 ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.80/1.17 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.80/1.17 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.80/1.17 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.80/1.17 X ) ) ]
% 0.80/1.17 ] .
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 percentage equality = 0.193049, percentage horn = 0.847285
% 0.80/1.17 This is a problem with some equality
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 Options Used:
% 0.80/1.17
% 0.80/1.17 useres = 1
% 0.80/1.17 useparamod = 1
% 0.80/1.17 useeqrefl = 1
% 0.80/1.17 useeqfact = 1
% 0.80/1.17 usefactor = 1
% 0.80/1.17 usesimpsplitting = 0
% 0.80/1.17 usesimpdemod = 5
% 0.80/1.17 usesimpres = 3
% 0.80/1.17
% 0.80/1.17 resimpinuse = 1000
% 0.80/1.17 resimpclauses = 20000
% 0.80/1.17 substype = eqrewr
% 0.80/1.17 backwardsubs = 1
% 0.80/1.17 selectoldest = 5
% 0.80/1.17
% 0.80/1.17 litorderings [0] = split
% 0.80/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.17
% 0.80/1.17 termordering = kbo
% 0.80/1.17
% 0.80/1.17 litapriori = 0
% 0.80/1.17 termapriori = 1
% 0.80/1.17 litaposteriori = 0
% 0.80/1.17 termaposteriori = 0
% 0.80/1.17 demodaposteriori = 0
% 0.80/1.17 ordereqreflfact = 0
% 0.80/1.17
% 0.80/1.17 litselect = negord
% 0.80/1.17
% 0.80/1.17 maxweight = 15
% 0.80/1.17 maxdepth = 30000
% 0.80/1.17 maxlength = 115
% 0.80/1.17 maxnrvars = 195
% 0.80/1.17 excuselevel = 1
% 0.80/1.17 increasemaxweight = 1
% 0.80/1.17
% 0.80/1.17 maxselected = 10000000
% 0.80/1.17 maxnrclauses = 10000000
% 0.80/1.17
% 0.80/1.17 showgenerated = 0
% 0.80/1.17 showkept = 0
% 0.80/1.17 showselected = 0
% 0.80/1.17 showdeleted = 0
% 0.80/1.17 showresimp = 1
% 0.80/1.17 showstatus = 2000
% 0.80/1.17
% 0.80/1.17 prologoutput = 1
% 0.80/1.17 nrgoals = 5000000
% 0.80/1.17 totalproof = 1
% 0.80/1.17
% 0.80/1.17 Symbols occurring in the translation:
% 0.80/1.17
% 0.80/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.17 . [1, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.80/1.17 ! [4, 1] (w:0, o:51, a:1, s:1, b:0),
% 0.80/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Oordered__field' [40, 1] (w:1, o:60, a:1, s:1
% 0.80/1.17 , b:0),
% 0.80/1.17 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:66, a:1
% 0.80/1.17 , s:1, b:0),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.80/1.17 'c_lessequals' [44, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.80/1.17 'c_HOL_Oinverse__class_Odivide' [46, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.80/1.17
% 0.80/1.17 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [47, 1]
% 0.80/1.17 (w:1, o:69, a:1, s:1, b:0),
% 0.80/1.17 'class_OrderedGroup_Ocomm__monoid__add' [48, 1] (w:1, o:70, a:1, s:1
% 0.80/1.17 , b:0),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus' [50, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.80/1.17 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Oordered__semidom' [52, 1] (w:1, o:72, a:1
% 0.80/1.17 , s:1, b:0),
% 0.80/1.17 'c_Power_Opower__class_Opower' [54, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.80/1.17 'class_OrderedGroup_Oab__group__add' [55, 1] (w:1, o:73, a:1, s:1, b:
% 0.80/1.17 0),
% 0.80/1.17 'c_HOL_Ominus__class_Ominus' [57, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Ofield' [62, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.80/1.17 'tc_Polynomial_Opoly' [63, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.80/1.17 'c_Divides_Odiv__class_Omod' [64, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.80/1.17 'c_Polynomial_Opdivmod__rel' [67, 5] (w:1, o:171, a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Oordered__idom' [68, 1] (w:1, o:76, a:1, s:1
% 0.80/1.17 , b:0),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus' [69, 2] (w:1, o:151, a:1, s:1, b:0),
% 0.80/1.17 'class_RealVector_Oreal__normed__field' [70, 1] (w:1, o:77, a:1, s:1
% 0.80/1.18 , b:0),
% 0.80/1.18 'class_RealVector_Oreal__normed__algebra' [71, 1] (w:1, o:78, a:1, s:
% 0.80/1.18 1, b:0),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes' [72, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.80/1.18 'c_HOL_Oone__class_Oone' [73, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse' [74, 2] (w:1, o:152, a:1, s:1, b:0)
% 0.80/1.18 ,
% 0.80/1.18 'class_OrderedGroup_Ogroup__add' [75, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.80/1.18
% 0.80/1.18 'class_OrderedGroup_Opordered__comm__monoid__add' [76, 1] (w:1, o:81
% 0.80/1.18 , a:1, s:1, b:0),
% 0.80/1.18 'class_HOL_Ozero' [77, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.80/1.18 'c_Polynomial_Ocoeff' [78, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.80/1.18 'class_Divides_Osemiring__div' [80, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.80/1.18 'c_Divides_Odiv__class_Odiv' [81, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd' [82, 3] (w:1, o:166, a:1, s:1
% 0.80/1.18 , b:0),
% 0.80/1.18 'class_Ring__and__Field_Oidom' [83, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.80/1.18 'c_Polynomial_Opoly' [85, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.80/1.18 'c_Polynomial_OpCons' [86, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs' [87, 2] (w:1, o:153, a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Ocomm__semiring__1' [88, 1] (w:1, o:64, a:1
% 0.80/1.18 , s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Opordered__ab__group__add__abs' [89, 1] (w:1, o:
% 0.80/1.18 86, a:1, s:1, b:0),
% 0.80/1.18 'class_Orderings_Olinorder' [91, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.80/1.18 'class_Orderings_Opreorder' [92, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Oab__semigroup__add' [93, 1] (w:1, o:90, a:1, s:1
% 0.80/1.18 , b:0),
% 0.80/1.18 'c_Polynomial_Omonom' [95, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.80/1.18 'class_Orderings_Oorder' [96, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Opordered__ab__group__add' [97, 1] (w:1, o:91, a:
% 0.80/1.18 1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Ocomm__ring__1' [99, 1] (w:1, o:61, a:1, s:1
% 0.80/1.18 , b:0),
% 0.80/1.18 'class_Int_Onumber__ring' [100, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Olordered__ring' [101, 1] (w:1, o:93, a:1, s:
% 0.80/1.18 1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Oring' [102, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Opordered__ring' [104, 1] (w:1, o:98, a:1, s:
% 0.80/1.18 1, b:0),
% 0.80/1.18 'class_OrderedGroup_Olordered__ab__group__add__abs' [106, 1] (w:1, o:
% 0.80/1.18 99, a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Oabs__if' [107, 1] (w:1, o:100, a:1, s:1, b:0
% 0.80/1.18 ),
% 0.80/1.18 'class_OrderedGroup_Olordered__ab__group__add' [109, 1] (w:1, o:101
% 0.80/1.18 , a:1, s:1, b:0),
% 0.80/1.18 'class_Lattices_Oboolean__algebra' [110, 1] (w:1, o:102, a:1, s:1, b:
% 0.80/1.18 0),
% 0.80/1.18 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [111, 1]
% 0.80/1.18 (w:1, o:103, a:1, s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Oordered__ab__group__add' [112, 1] (w:1, o:68, a:
% 0.80/1.18 1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Ozero__neq__one' [113, 1] (w:1, o:104, a:1
% 0.80/1.18 , s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Oring__1__no__zero__divisors' [114, 1] (w:1
% 0.80/1.18 , o:105, a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Ono__zero__divisors' [115, 1] (w:1, o:59, a:1
% 0.80/1.18 , s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Omult__zero' [116, 1] (w:1, o:56, a:1, s:1
% 0.80/1.18 , b:0),
% 0.80/1.18 'class_Power_Opower' [117, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Omonoid__add' [118, 1] (w:1, o:106, a:1, s:1, b:0
% 0.80/1.18 ),
% 0.80/1.18 'class_Ring__and__Field_Oordered__semiring__strict' [119, 1] (w:1, o:
% 0.80/1.18 95, a:1, s:1, b:0),
% 0.80/1.18 'c_Polynomial_Odegree' [124, 2] (w:1, o:154, a:1, s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Opordered__ab__semigroup__add' [125, 1] (w:1, o:
% 0.80/1.18 107, a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Odvd' [126, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Ocomm__ring' [127, 1] (w:1, o:62, a:1, s:1
% 0.80/1.18 , b:0),
% 0.80/1.18 'c_Polynomial_Osmult' [130, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.80/1.18 'class_Divides_Oring__div' [131, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Ocomm__semiring__0' [132, 1] (w:1, o:63, a:1
% 0.80/1.18 , s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Oordered__ring__strict' [133, 1] (w:1, o:71
% 0.80/1.18 , a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Opordered__ring__abs' [134, 1] (w:1, o:117
% 0.80/1.18 , a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Oordered__semiring' [135, 1] (w:1, o:96, a:1
% 0.80/1.18 , s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Omonoid__mult' [138, 1] (w:1, o:108, a:1, s:1, b:
% 0.80/1.18 0),
% 0.80/1.18 'class_Ring__and__Field_Ocomm__semiring' [139, 1] (w:1, o:65, a:1, s:
% 0.80/1.18 1, b:0),
% 0.80/1.18 'class_OrderedGroup_Ocomm__monoid__mult' [140, 1] (w:1, o:109, a:1
% 0.80/1.18 , s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Osemiring' [141, 1] (w:1, o:120, a:1, s:1, b:
% 0.80/1.18 0),
% 0.80/1.18 'class_OrderedGroup_Ocancel__ab__semigroup__add' [143, 1] (w:1, o:110
% 0.80/1.18 , a:1, s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Ocancel__semigroup__add' [144, 1] (w:1, o:111, a:
% 0.80/1.18 1, s:1, b:0),
% 0.80/1.18 'class_RealVector_Oreal__field' [146, 1] (w:1, o:121, a:1, s:1, b:0)
% 0.80/1.18 ,
% 0.80/1.18 'class_Ring__and__Field_Oring__1' [147, 1] (w:1, o:118, a:1, s:1, b:0
% 0.80/1.18 ),
% 0.80/1.18 'class_Ring__and__Field_Odivision__ring' [148, 1] (w:1, o:122, a:1
% 0.80/1.18 , s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Opordered__cancel__semiring' [149, 1] (w:1
% 0.80/1.18 , o:123, a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Opordered__semiring' [150, 1] (w:1, o:124, a:
% 0.80/1.18 1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Omult__mono' [151, 1] (w:1, o:57, a:1, s:1
% 0.80/1.18 , b:0),
% 0.80/1.18 'class_Ring__and__Field_Omult__mono1' [152, 1] (w:1, o:58, a:1, s:1
% 0.80/1.18 , b:0),
% 0.80/1.18 'class_Ring__and__Field_Oordered__comm__semiring__strict' [153, 1]
% 0.80/1.18 (w:1, o:97, a:1, s:1, b:0),
% 0.80/1.18 't_a' [155, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.80/1.18
% 0.80/1.18 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'
% 0.80/1.18 [156, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.80/1.18 'tc_Complex_Ocomplex' [157, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.80/1.18 'v_q____' [158, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.80/1.18 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize' [159, 2] (w:1, o:
% 0.80/1.18 155, a:1, s:1, b:0),
% 0.80/1.18 'v_x____' [160, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.80/1.18 'v_y____' [161, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.80/1.18 'class_Ring__and__Field_Oring__no__zero__divisors' [162, 1] (w:1, o:
% 0.80/1.18 119, a:1, s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Oab__semigroup__mult' [167, 1] (w:1, o:112, a:1
% 0.80/1.18 , s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Oab__semigroup__idem__mult' [168, 1] (w:1, o:113
% 0.80/1.18 , a:1, s:1, b:0),
% 0.80/1.18 'class_OrderedGroup_Ocancel__comm__monoid__add' [170, 1] (w:1, o:114
% 0.80/1.18 , a:1, s:1, b:0),
% 0.80/1.18 'tc_nat' [171, 0] (w:1, o:50, a:1, s:1, b:0).
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Starting Search:
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Bliksems!, er is een bewijs:
% 0.80/1.18 % SZS status Unsatisfiable
% 0.80/1.18 % SZS output start Refutation
% 0.80/1.18
% 0.80/1.18 clause( 701, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.80/1.18 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.18 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.18 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.18 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.18 , 'c_Polynomial_Opoly'( 'v_q____', 'v_x____', 'tc_Complex_Ocomplex' ) ) ]
% 0.80/1.18 )
% 0.80/1.18 .
% 0.80/1.18 clause( 734, [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_y____',
% 0.80/1.18 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.18 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.18 .
% 0.80/1.18 clause( 735, [] )
% 0.80/1.18 .
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 % SZS output end Refutation
% 0.80/1.18 found a proof!
% 0.80/1.18
% 0.80/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.18
% 0.80/1.18 initialclauses(
% 0.80/1.18 [ clause( 737, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.18 ), X ) ) ] )
% 0.80/1.18 , clause( 738, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.80/1.18 ), X ) ) ] )
% 0.80/1.18 , clause( 739, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.18 ), X ) ) ] )
% 0.80/1.18 , clause( 740, [ ~(
% 0.80/1.18 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.80/1.18 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 741, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.18 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 742, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.18 , T, X ) ) ), =( Z, T ) ] )
% 0.80/1.18 , clause( 743, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.18 , T, X ) ) ), =( Y, Z ) ] )
% 0.80/1.18 , clause( 744, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 0.80/1.18 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, U, T, X ) ) ] )
% 0.80/1.18 , clause( 745, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 746, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.18 ), X ) ) ] )
% 0.80/1.18 , clause( 747, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 748, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 Y, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 749, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.18 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.18 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ] )
% 0.80/1.18 , clause( 750, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 751, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 752, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 753, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 754, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 755, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.18 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 756, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 757, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.18 , U, X ), X ) ) ] )
% 0.80/1.18 , clause( 758, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.18 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 759, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), X ) ) ] )
% 0.80/1.18 , clause( 760, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.18 'c_Polynomial_Opoly'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.80/1.18 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ) ] )
% 0.80/1.18 , clause( 761, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.18 'c_Polynomial_Opoly'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.80/1.18 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.18 , clause( 762, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.80/1.18 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 763, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.80/1.18 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 764, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 765, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.80/1.18 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 766, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 767, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 768, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 769, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 770, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 771, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.18 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 0.80/1.18 , clause( 772, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.80/1.18 ), X ) ) ] )
% 0.80/1.18 , clause( 773, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.18 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 0.80/1.18 , clause( 774, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.18 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 0.80/1.18 , clause( 775, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.18 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 776, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.18 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 777, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.80/1.18 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 0.80/1.18 , clause( 778, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.80/1.18 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 779, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.80/1.18 , clause( 780, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.80/1.18 , clause( 781, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 782, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 0.80/1.18 , clause( 783, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.80/1.18 Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.80/1.18 , clause( 784, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.80/1.18 , clause( 785, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'(
% 0.80/1.18 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 786, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.18 X ) ] )
% 0.80/1.18 , clause( 787, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.18 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 788, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.18 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 789, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.18 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 790, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.18 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 791, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.18 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 792, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.18 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 793, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.18 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 794, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.18 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 795, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.18 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 796, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.18 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ), =( Z, T ) ] )
% 0.80/1.18 , clause( 797, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.80/1.18 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 798, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.80/1.18 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.80/1.18 , clause( 799, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.18 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.18 , T, X ), X ), T, X ) ) ] )
% 0.80/1.18 , clause( 800, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.18 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.18 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 801, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.80/1.18 ), Y ) ] )
% 0.80/1.18 , clause( 802, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.80/1.18 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 803, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 0.80/1.18 , clause( 804, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 805, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 806, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.18 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 807, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.80/1.18 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 808, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 809, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( Y, Z, 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z,
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), X ) ] )
% 0.80/1.18 , clause( 810, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.80/1.18 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) ), T
% 0.80/1.18 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( T, Y
% 0.80/1.18 , X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 811, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 812, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 813, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.80/1.18 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 814, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 815, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 816, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.18 , clause( 817, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.18 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.80/1.18 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 0.80/1.18 , clause( 818, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 819, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.18 , X ), X ) ) ] )
% 0.80/1.18 , clause( 820, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ] )
% 0.80/1.18 , clause( 821, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 822, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 823, [ ~(
% 0.80/1.18 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.80/1.18 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.18 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 824, [ ~(
% 0.80/1.18 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.80/1.18 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.80/1.18 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 0.80/1.18 , clause( 825, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.18 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.18 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 826, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.18 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.80/1.18 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 827, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ] )
% 0.80/1.18 , clause( 828, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W, X ) ) ] )
% 0.80/1.18 , clause( 829, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.80/1.18 , X ), W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X
% 0.80/1.18 ), X ) ) ] )
% 0.80/1.18 , clause( 830, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 T, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ), W, X ), X ) ) ] )
% 0.80/1.18 , clause( 831, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.18 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 832, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.18 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 833, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.18 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 834, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.18 , T, X ), X ) ) ] )
% 0.80/1.18 , clause( 835, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 836, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 837, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 838, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 839, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 840, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 841, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 842, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 843, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 0.80/1.18 , clause( 844, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.18 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 845, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 846, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.18 Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.18 ), X ) ) ] )
% 0.80/1.18 , clause( 847, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.18 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 848, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.18 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 849, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.18 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 850, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.80/1.18 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 851, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.80/1.18 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 852, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 853, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 854, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 855, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 856, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.18 Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 857, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 858, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 859, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.18 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 860, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.80/1.18 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.80/1.18 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 861, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.18 , X ), X ) ) ] )
% 0.80/1.18 , clause( 862, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 863, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.18 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 864, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.18 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 865, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 866, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 867, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 868, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 869, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 870, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.18 , X ) ) ), =( Y, Z ) ] )
% 0.80/1.18 , clause( 871, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.18 , X ) ) ), =( Y, Z ) ] )
% 0.80/1.18 , clause( 872, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.80/1.18 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 873, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.80/1.18 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 874, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.18 Y, X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 875, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.18 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 876, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 877, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 878, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 0.80/1.18 , clause( 879, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 880, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 0.80/1.18 , clause( 881, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 882, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.18 ), Y ) ] )
% 0.80/1.18 , clause( 883, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.80/1.18 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 884, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.80/1.18 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 885, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.18 , Y, X ) ) ] )
% 0.80/1.18 , clause( 886, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 887, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.18 ), Y ) ] )
% 0.80/1.18 , clause( 888, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 889, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 890, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.18 ), Y ) ] )
% 0.80/1.18 , clause( 891, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.18 ), Y ) ] )
% 0.80/1.18 , clause( 892, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 893, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.18 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 894, [ ~(
% 0.80/1.18 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 895, [ ~(
% 0.80/1.18 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 896, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 897, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 898, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 899, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 900, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 901, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 902, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.18 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 903, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.18 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 904, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 905, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 906, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.18 =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 907, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 908, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 909, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 , X ) ] )
% 0.80/1.18 , clause( 910, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 911, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 912, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ] )
% 0.80/1.18 , clause( 913, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.18 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 914, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 915, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.18 ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 916, [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.80/1.18 X ) ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 917, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.80/1.18 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 918, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.18 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 919, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 0.80/1.18 , clause( 920, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 921, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 922, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.18 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 923, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 924, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 925, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 926, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 927, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.18 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 0.80/1.18 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 928, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.18 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 0.80/1.18 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 929, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 930, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.18 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 931, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 932, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.80/1.18 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 0.80/1.18 , clause( 933, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ) ), =( Y, Z ) ] )
% 0.80/1.18 , clause( 934, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ) ), =( Y, Z ) ] )
% 0.80/1.18 , clause( 935, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.18 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.80/1.18 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 0.80/1.18 , clause( 936, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.18 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 937, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.18 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 938, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.18 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 939, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.18 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 940, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 941, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 942, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 943, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.18 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 944, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 945, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 946, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 947, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 948, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.18 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.18 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.18 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 949, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.18 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.18 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 950, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 0.80/1.18 , clause( 951, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.80/1.18 , clause( 952, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.80/1.18 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 953, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.18 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 954, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.18 Z, X ) ) ] )
% 0.80/1.18 , clause( 955, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.18 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 , T, X ) ] )
% 0.80/1.18 , clause( 956, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.18 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 , T, X ) ] )
% 0.80/1.18 , clause( 957, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.18 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.80/1.18 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.80/1.18 ), X ) ) ] )
% 0.80/1.18 , clause( 958, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.80/1.18 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.80/1.18 ), X ) ) ] )
% 0.80/1.18 , clause( 959, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.80/1.18 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.80/1.18 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 , Z, X ) ] )
% 0.80/1.18 , clause( 960, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.80/1.18 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 , Z, X ) ] )
% 0.80/1.18 , clause( 961, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.18 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.80/1.18 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.80/1.18 , Y, X ) ) ] )
% 0.80/1.18 , clause( 962, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.80/1.18 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 963, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.80/1.18 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 964, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~(
% 0.80/1.18 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 965, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~(
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 966, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.18 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 967, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 968, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.18 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, T, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 969, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.18 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, T, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 970, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.80/1.18 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.80/1.18 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 971, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.80/1.18 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 972, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.18 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.18 Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 973, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.18 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.18 , Y, X ) ) ] )
% 0.80/1.18 , clause( 974, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.80/1.18 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 975, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.18 ), =( Z, Y ) ] )
% 0.80/1.18 , clause( 976, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.80/1.18 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 977, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.80/1.18 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 978, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ] )
% 0.80/1.18 , clause( 979, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ] )
% 0.80/1.18 , clause( 980, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.80/1.18 , clause( 981, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 982, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 983, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.18 ), =( Z, Y ) ] )
% 0.80/1.18 , clause( 984, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 985, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ] )
% 0.80/1.18 , clause( 986, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 987, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 0.80/1.18 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.18 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.18 , clause( 988, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X )
% 0.80/1.18 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 989, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X )
% 0.80/1.18 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 990, [ ~(
% 0.80/1.18 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.18 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 991, [ ~(
% 0.80/1.18 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 992, [ ~(
% 0.80/1.18 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.18 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 993, [ ~(
% 0.80/1.18 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 994, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 995, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 996, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 0.80/1.18 , clause( 997, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 998, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 999, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1000, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.80/1.18 X ) ] )
% 0.80/1.18 , clause( 1001, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ] )
% 0.80/1.18 , clause( 1002, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1003, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.80/1.18 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 1004, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.18 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1005, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1006, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 0.80/1.18 , clause( 1007, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 0.80/1.18 Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ] )
% 0.80/1.18 , clause( 1008, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 0.80/1.18 Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ] )
% 0.80/1.18 , clause( 1009, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1010, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.18 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.18 , Y, X ) ) ] )
% 0.80/1.18 , clause( 1011, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'(
% 0.80/1.18 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.80/1.18 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 1012, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1013, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 1014, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1015, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 1016, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1017, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 1018, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.18 , clause( 1019, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ] )
% 0.80/1.18 , clause( 1020, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ] )
% 0.80/1.18 , clause( 1021, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ] )
% 0.80/1.18 , clause( 1022, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.18 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.18 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 0.80/1.18 , clause( 1023, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.18 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 0.80/1.18 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1024, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.18 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 0.80/1.18 ~( 'c_lessequals'( U, T, X ) ) ] )
% 0.80/1.18 , clause( 1025, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.18 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 0.80/1.18 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 1026, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 1027, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 1028, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.80/1.18 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ] )
% 0.80/1.18 , clause( 1029, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.18 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ] )
% 0.80/1.18 , clause( 1030, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1031, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ] )
% 0.80/1.18 , clause( 1032, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ] )
% 0.80/1.18 , clause( 1033, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 1034, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1035, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 1036, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 0.80/1.18 Y, Z ) ] )
% 0.80/1.18 , clause( 1037, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 0.80/1.18 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.80/1.18 , clause( 1038, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1039, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 0.80/1.18 Z, Y ) ] )
% 0.80/1.18 , clause( 1040, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 1041, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 1042, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 1043, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.80/1.18 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.18 , clause( 1044, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.18 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ] )
% 0.80/1.18 , clause( 1045, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 1046, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 1047, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.18 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 0.80/1.18 X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 1048, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.18 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 0.80/1.18 X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 1049, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.80/1.18 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.80/1.18 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1050, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.18 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 1051, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.18 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1052, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.80/1.18 ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 0.80/1.18 ), X ) ) ] )
% 0.80/1.18 , clause( 1053, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.18 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1054, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.18 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.18 Y, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1055, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.18 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1056, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.18 ~( =( 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X )
% 0.80/1.18 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 1057, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.80/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 1058, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 1059, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 0.80/1.18 , clause( 1060, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 0.80/1.18 , clause( 1061, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.18 'c_Polynomial_Opoly'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 1062, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.18 'c_Polynomial_Opoly'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 1063, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 1064, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.80/1.18 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.18 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 0.80/1.18 , clause( 1065, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 1066, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.18 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 0.80/1.18 , clause( 1067, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.18 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.80/1.18 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1068, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.18 X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1069, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 1070, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1071, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1072, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.18 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.18 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 1073, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 0.80/1.18 , clause( 1074, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.18 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.18 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 1075, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.18 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 X ), T, X ) ) ] )
% 0.80/1.18 , clause( 1076, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.18 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1077, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.80/1.18 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.18 X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1078, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.80/1.18 Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1079, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.80/1.18 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.18 Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1080, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.80/1.18 X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1081, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ),
% 0.80/1.18 =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 0.80/1.18 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 1082, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ),
% 0.80/1.18 =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 0.80/1.18 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 1083, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ),
% 0.80/1.18 =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 0.80/1.18 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1084, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ),
% 0.80/1.18 =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 0.80/1.18 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1085, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 0.80/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 0.80/1.18 , clause( 1086, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.18 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 1087, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.18 ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.18 , T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1088, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.18 ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.18 , Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1089, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.18 , T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1090, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.18 , Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1091, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 0.80/1.18 , clause( 1092, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.18 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.18 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 1093, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.18 ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.18 , T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1094, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.18 ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.18 , Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1095, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.80/1.18 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 1096, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.18 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 X ), T, X ) ) ] )
% 0.80/1.18 , clause( 1097, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.18 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 1098, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.18 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 1099, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 X ), X ) ) ] )
% 0.80/1.18 , clause( 1100, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 X ), X ) ) ] )
% 0.80/1.18 , clause( 1101, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 1102, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 1103, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1104, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1105, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 1106, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 1107, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.18 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 1108, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.18 X ), X ) ) ] )
% 0.80/1.18 , clause( 1109, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.18 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.80/1.18 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.80/1.18 X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1110, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 1111, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.18 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.18 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 0.80/1.18 =( Y, T ) ] )
% 0.80/1.18 , clause( 1112, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.18 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.18 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 0.80/1.18 =( Y, T ) ] )
% 0.80/1.18 , clause( 1113, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.18 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.80/1.18 Y, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1114, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.18 , T, X ), X ), T, X ) ) ] )
% 0.80/1.18 , clause( 1115, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.18 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 1116, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.18 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ] )
% 0.80/1.18 , clause( 1117, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y,
% 0.80/1.18 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 0.80/1.18 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1118, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.18 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y,
% 0.80/1.18 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.80/1.18 ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 1119, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1120, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, Y, X ) ) ] )
% 0.80/1.18 , clause( 1121, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.18 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.18 X ), X ) ) ] )
% 0.80/1.18 , clause( 1122, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.18 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.18 X ), X ) ) ] )
% 0.80/1.18 , clause( 1123, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.18 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.18 X ), X ) ) ] )
% 0.80/1.18 , clause( 1124, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.18 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.18 X ), X ) ) ] )
% 0.80/1.18 , clause( 1125, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 1126, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1127, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 0.80/1.18 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.18 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1128, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1129, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1130, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1131, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1132, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 0.80/1.18 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1133, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.80/1.18 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.80/1.18 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1134, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 =( 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.18 ), T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.80/1.18 Y, T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1135, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.80/1.18 , X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1136, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.80/1.18 , X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1137, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.18 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1138, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.18 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 1139, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.18 X ), X ) ) ] )
% 0.80/1.18 , clause( 1140, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.18 , Z, X ) ) ] )
% 0.80/1.18 , clause( 1141, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.18 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.80/1.18 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 0.80/1.18 , clause( 1142, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1143, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.18 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.80/1.18 )
% 0.80/1.18 , clause( 1144, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.80/1.18 , X ) ) ] )
% 0.80/1.18 , clause( 1145, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 1146, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 1147, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.18 ] )
% 0.80/1.18 , clause( 1148, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 1149, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 1150, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 1151, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.18 , Y, X ), X ) ] )
% 0.80/1.18 , clause( 1152, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.18 , Z, X ), X ) ] )
% 0.80/1.18 , clause( 1153, [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.18 , Z, X ), X ) ] )
% 0.80/1.18 , clause( 1154, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.18 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.18 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1155, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.18 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.18 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1156, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.18 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 0.80/1.18 , clause( 1157, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.18 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1158, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.18 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1159, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1160, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.18 , clause( 1161, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 0.80/1.18 , clause( 1162, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 0.80/1.18 , clause( 1163, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.18 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 Y, T, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1164, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.80/1.18 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.80/1.18 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 1165, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1166, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.18 'c_lessequals'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 1167, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 1168, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.18 'c_lessequals'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 1169, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 1170, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 X ) ) ] )
% 0.80/1.18 , clause( 1171, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 1172, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 1173, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 1174, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.18 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1175, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 0.80/1.18 , clause( 1176, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.80/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1177, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.80/1.18 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1178, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.18 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.80/1.18 X ), X ) ) ] )
% 0.80/1.18 , clause( 1179, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1180, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1181, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1182, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1183, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 1184, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.80/1.18 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ] )
% 0.80/1.18 , clause( 1185, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.80/1.18 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 1186, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.18 Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1187, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.18 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1188, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.18 , X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1189, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.18 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.18 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1190, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 1191, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 0.80/1.18 , clause( 1192, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.18 , T, X ), X ), T, X ) ) ] )
% 0.80/1.18 , clause( 1193, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1194, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.18 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 1195, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 1196, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.80/1.18 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1197, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.80/1.18 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.18 , clause( 1198, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.18 , X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 0.80/1.18 , clause( 1199, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.18 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 0.80/1.18 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 0.80/1.18 , clause( 1200, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 0.80/1.18 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 0.80/1.18 , clause( 1201, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.80/1.18 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 Y, T, X ) ) ), =( Z, T ) ] )
% 0.80/1.18 , clause( 1202, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.80/1.18 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.18 T, Z, X ) ) ), =( Y, T ) ] )
% 0.80/1.18 , clause( 1203, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.18 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), X ) ] )
% 0.80/1.18 , clause( 1204, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.18 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.18 ) ] )
% 0.80/1.18 , clause( 1205, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.18 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1206, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.18 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1207, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 0.80/1.18 , clause( 1208, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.18 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ] )
% 0.80/1.18 , clause( 1209, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.18 , clause( 1210, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 0.80/1.18 , clause( 1211, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 0.80/1.18 , clause( 1212, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 0.80/1.18 , clause( 1213, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 0.80/1.18 , clause( 1214, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.18 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 1215, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.18 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.18 , clause( 1216, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.18 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 0.80/1.18 , clause( 1217, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.80/1.18 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.18 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.18 X ) ) ] )
% 0.80/1.18 , clause( 1218, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.18 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ] )
% 0.80/1.18 , clause( 1219, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 0.80/1.18 , clause( 1220, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.18 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.80/1.18 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 0.80/1.18 , clause( 1221, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.18 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 0.80/1.18 , clause( 1222, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.80/1.18 , X ) ] )
% 0.80/1.18 , clause( 1223, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.18 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1224, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.80/1.18 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.80/1.18 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.18 , clause( 1225, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.18 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.18 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.18 , clause( 1226, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.18 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 0.80/1.18 , clause( 1227, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.18 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.18 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.80/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.18 , clause( 1228, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.18 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.18 ) ) ] )
% 0.80/1.18 , clause( 1229, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1230, [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.19 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 0.80/1.19 , clause( 1231, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.80/1.19 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 0.80/1.19 , clause( 1232, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.80/1.19 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1233, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.19 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ] )
% 0.80/1.19 , clause( 1234, [ ~(
% 0.80/1.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.80/1.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 0.80/1.19 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.80/1.19 ) ) ] )
% 0.80/1.19 , clause( 1235, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1236, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1237, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.19 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1238, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1239, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1240, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1241, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.19 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1242, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.19 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1243, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1244, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1245, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 0.80/1.19 , clause( 1246, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.19 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1247, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.19 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 0.80/1.19 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 0.80/1.19 , clause( 1248, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.19 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 0.80/1.19 , clause( 1249, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.19 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.19 , X ), W, X ) ) ] )
% 0.80/1.19 , clause( 1250, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.80/1.19 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ] )
% 0.80/1.19 , clause( 1251, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.80/1.19 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ] )
% 0.80/1.19 , clause( 1252, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1253, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.19 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), Y, X ) ] )
% 0.80/1.19 , clause( 1254, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.19 Y, X ) ) ] )
% 0.80/1.19 , clause( 1255, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.19 Y, X ) ) ] )
% 0.80/1.19 , clause( 1256, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1257, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.19 ), X ) ) ] )
% 0.80/1.19 , clause( 1258, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.19 ), X ) ) ] )
% 0.80/1.19 , clause( 1259, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.19 ), X ) ) ] )
% 0.80/1.19 , clause( 1260, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.19 ), X ) ) ] )
% 0.80/1.19 , clause( 1261, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.80/1.19 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.80/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.80/1.19 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ] )
% 0.80/1.19 , clause( 1262, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.80/1.19 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1263, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 0.80/1.19 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.80/1.19 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1264, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 0.80/1.19 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.80/1.19 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1265, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.19 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1266, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.19 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1267, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1268, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 0.80/1.19 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, T, U, X ) ) ] )
% 0.80/1.19 , clause( 1269, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.19 ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 0.80/1.19 , clause( 1270, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.19 ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 0.80/1.19 , clause( 1271, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.19 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.80/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.80/1.19 W, X ), X ) ) ] )
% 0.80/1.19 , clause( 1272, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.19 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1273, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1274, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.19 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1275, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ] )
% 0.80/1.19 , clause( 1276, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.19 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ] )
% 0.80/1.19 , clause( 1277, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 0.80/1.19 ), X ) ) ] )
% 0.80/1.19 , clause( 1278, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 0.80/1.19 , clause( 1279, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 0.80/1.19 , clause( 1280, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.19 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.19 Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1281, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.19 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.19 Y, X ), Z, X ) ) ] )
% 0.80/1.19 , clause( 1282, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.80/1.19 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 0.80/1.19 , clause( 1283, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.80/1.19 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 0.80/1.19 , clause( 1284, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1285, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1286, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.19 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1287, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ] )
% 0.80/1.19 , clause( 1288, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1289, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.19 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.19 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.80/1.19 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ] )
% 0.80/1.19 , clause( 1290, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1291, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.19 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.80/1.19 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1292, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.80/1.19 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1293, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1294, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1295, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1296, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1297, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.19 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.80/1.19 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 0.80/1.19 , clause( 1298, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 0.80/1.19 , clause( 1299, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.19 , Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1300, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.19 , T, X ), X ) ) ] )
% 0.80/1.19 , clause( 1301, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.19 , T, X ), X ) ) ] )
% 0.80/1.19 , clause( 1302, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.19 , Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1303, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.19 ) ) ] )
% 0.80/1.19 , clause( 1304, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.80/1.19 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1305, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.80/1.19 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1306, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.19 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1307, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.19 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1308, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1309, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.19 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.19 , clause( 1310, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.19 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1311, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.19 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1312, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.19 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1313, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.19 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1314, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1315, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1316, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1317, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1318, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.19 , clause( 1319, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1320, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1321, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 0.80/1.19 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.19 , clause( 1322, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 0.80/1.19 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.19 , clause( 1323, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1324, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1325, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1326, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1327, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.19 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1328, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1329, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1330, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 0.80/1.19 , clause( 1331, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1332, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1333, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1334, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X
% 0.80/1.19 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.19 ) ) ] )
% 0.80/1.19 , clause( 1335, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X
% 0.80/1.19 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.19 ) ) ] )
% 0.80/1.19 , clause( 1336, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.19 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1337, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1338, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1339, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1340, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1341, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1342, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.19 , clause( 1343, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1344, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1345, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1346, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.19 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1347, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1348, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1349, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1350, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ] )
% 0.80/1.19 , clause( 1351, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ] )
% 0.80/1.19 , clause( 1352, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1353, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 0.80/1.19 , clause( 1354, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1355, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1356, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.80/1.19 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1357, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.80/1.19 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1358, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 0.80/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 0.80/1.19 , clause( 1359, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 0.80/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1360, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1361, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1362, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1363, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1364, [ ~(
% 0.80/1.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 0.80/1.19 , clause( 1365, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1366, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.19 , clause( 1367, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.19 , clause( 1368, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 0.80/1.19 , clause( 1369, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1370, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1371, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 0.80/1.19 , clause( 1372, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.80/1.19 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.80/1.19 , X ), T, X ), W, X ) ) ] )
% 0.80/1.19 , clause( 1373, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.80/1.19 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.80/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.80/1.19 W, X ), X ) ) ] )
% 0.80/1.19 , clause( 1374, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.80/1.19 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.19 , X ), W, X ), X ) ) ] )
% 0.80/1.19 , clause( 1375, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.19 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.80/1.19 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.80/1.19 Z, X ) ) ] )
% 0.80/1.19 , clause( 1376, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1377, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.19 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 0.80/1.19 , clause( 1378, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.19 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 0.80/1.19 , clause( 1379, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.19 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.80/1.19 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 0.80/1.19 , clause( 1380, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1381, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 0.80/1.19 , clause( 1382, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.19 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1383, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'(
% 0.80/1.19 X ), X ) ] )
% 0.80/1.19 , clause( 1384, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1385, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1386, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1387, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.80/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ] )
% 0.80/1.19 , clause( 1388, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1389, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1390, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1391, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.19 Z, X ) ) ] )
% 0.80/1.19 , clause( 1392, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.19 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.19 , clause( 1393, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.80/1.19 ), X ) ) ] )
% 0.80/1.19 , clause( 1394, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.80/1.19 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.19 , clause( 1395, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.80/1.19 , clause( 1396, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.80/1.19 , clause( 1397, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.80/1.19 , clause( 1398, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 0.80/1.19 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.19 , clause( 1399, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1400, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.19 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ), X ) ) ] )
% 0.80/1.19 , clause( 1401, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.19 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.19 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.80/1.19 X ), Z, X ) ) ] )
% 0.80/1.19 , clause( 1402, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.19 , clause( 1403, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1404, [ ~(
% 0.80/1.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.19 , clause( 1405, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 0.80/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.80/1.19 , clause( 1406, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 0.80/1.19 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.80/1.19 , clause( 1407, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 0.80/1.19 , clause( 1408, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 0.80/1.19 , clause( 1409, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.19 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.80/1.19 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1410, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.19 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.19 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1411, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.80/1.19 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.80/1.19 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1412, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1413, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1414, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.19 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1415, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 0.80/1.19 , clause( 1416, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.19 =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.19 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 0.80/1.19 , T ) ] )
% 0.80/1.19 , clause( 1417, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.19 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.19 X ) ] )
% 0.80/1.19 , clause( 1418, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.80/1.19 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ] )
% 0.80/1.19 , clause( 1419, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.80/1.19 ) ) ] )
% 0.80/1.19 , clause( 1420, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.80/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1421, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.19 'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ),
% 0.80/1.19 'c_Polynomial_Ocoeff'( Z, 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y,
% 0.80/1.19 Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y,
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.80/1.19 Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1422, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1423, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1424, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.19 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 0.80/1.19 , clause( 1425, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 0.80/1.19 , clause( 1426, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1427, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.19 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.19 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.19 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.19 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1428, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1429, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.19 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.19 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 0.80/1.19 , clause( 1430, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.80/1.19 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1431, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 0.80/1.19 , clause( 1432, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.80/1.19 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 0.80/1.19 , clause( 1433, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.19 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 0.80/1.19 , clause( 1434, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.19 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1435, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1436, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1437, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1438, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1439, [ ~(
% 0.80/1.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.19 X ), X ) ) ] )
% 0.80/1.19 , clause( 1440, [ ~(
% 0.80/1.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 Z, T, X ) ) ] )
% 0.80/1.19 , clause( 1441, [ ~(
% 0.80/1.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 Z, T, X ) ) ] )
% 0.80/1.19 , clause( 1442, [ ~(
% 0.80/1.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.19 X ), X ) ) ] )
% 0.80/1.19 , clause( 1443, [ ~(
% 0.80/1.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 Y, T, X ) ) ] )
% 0.80/1.19 , clause( 1444, [ ~(
% 0.80/1.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 Y, T, X ) ) ] )
% 0.80/1.19 , clause( 1445, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 0.80/1.19 , Y, X ) ] )
% 0.80/1.19 , clause( 1446, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 0.80/1.19 , X ) ] )
% 0.80/1.19 , clause( 1447, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.80/1.19 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.19 , clause( 1448, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.19 , clause( 1449, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.80/1.19 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 0.80/1.19 , clause( 1450, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 0.80/1.19 , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1451, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.19 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1452, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.80/1.19 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 0.80/1.19 , clause( 1453, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.80/1.19 , clause( 1454, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 0.80/1.19 , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1455, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1456, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.80/1.19 , X ), X ), Y ) ] )
% 0.80/1.19 , clause( 1457, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ] )
% 0.80/1.19 , clause( 1458, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1459, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1460, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1461, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.19 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1462, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.80/1.19 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 0.80/1.19 , clause( 1463, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'(
% 0.80/1.19 Y, Z, X ), 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ] )
% 0.80/1.19 , clause( 1464, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ] )
% 0.80/1.19 , clause( 1465, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1466, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.19 , clause( 1467, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.19 Y, X ) ) ] )
% 0.80/1.19 , clause( 1468, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.19 Y, X ) ) ] )
% 0.80/1.19 , clause( 1469, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.80/1.19 , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.80/1.19 , clause( 1470, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.19 Y, X ) ) ] )
% 0.80/1.19 , clause( 1471, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.19 Y, X ) ) ] )
% 0.80/1.19 , clause( 1472, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.80/1.19 , clause( 1473, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1474, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.19 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ), T, X ) ) ] )
% 0.80/1.19 , clause( 1475, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1476, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.19 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1477, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.80/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.19 , clause( 1478, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.80/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 0.80/1.19 , clause( 1479, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1480, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1481, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1482, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.19 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.19 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1483, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.19 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.19 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1484, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.19 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1485, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1486, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.80/1.19 , clause( 1487, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1488, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.80/1.19 , clause( 1489, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1490, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.80/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1491, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.80/1.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.80/1.19 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1492, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.80/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1493, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.19 , clause( 1494, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 , X ) ) ] )
% 0.80/1.19 , clause( 1495, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1496, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.19 , clause( 1497, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 0.80/1.19 , clause( 1498, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.19 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.19 Z, X ), X ) ) ] )
% 0.80/1.19 , clause( 1499, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 0.80/1.19 , clause( 1500, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.19 ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ] )
% 0.80/1.19 , clause( 1501, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1502, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.19 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.19 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1503, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.80/1.19 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'(
% 0.80/1.19 X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( 'c_Polynomial_Opoly'( X
% 0.80/1.19 , Y, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 0.80/1.19 , clause( 1504, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1505, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.19 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1506, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Omod'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, T,
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1507, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.19 'c_Polynomial_Osmult'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1508, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.19 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.80/1.19 ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1509, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.19 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.19 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 0.80/1.19 X ) ) ) ] )
% 0.80/1.19 , clause( 1510, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.19 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 0.80/1.19 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1511, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.80/1.19 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.19 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1512, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.19 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 0.80/1.19 Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.19 , clause( 1513, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.19 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.19 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.80/1.19 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.19 ) ) ] )
% 0.80/1.19 , clause( 1514, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.19 'c_Polynomial_Odegree'( 'c_Polynomial_Osmult'( Y, Z, X ), X ),
% 0.80/1.19 'c_Polynomial_Odegree'( Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1515, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1516, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.80/1.19 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1517, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.80/1.19 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ] )
% 0.80/1.19 , clause( 1518, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1519, [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_Complex_Ocomplex' ),
% 0.80/1.19 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.19 , clause( 1520, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.19 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1521, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.19 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1522, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.19 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1523, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.19 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1524, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.80/1.19 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1525, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.80/1.19 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1526, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.19 'c_Divides_Odiv__class_Odiv'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 'c_Divides_Odiv__class_Odiv'( Y
% 0.80/1.19 , T, 'tc_Polynomial_Opoly'( X ) ), X ) ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1527, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.19 'c_Polynomial_Opdivmod__rel'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.19 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), U, X ),
% 0.80/1.19 W, X ), ~( 'c_Polynomial_Opdivmod__rel'( Y, T, U, W, X ) ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1528, [ =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'(
% 0.80/1.19 'v_q____', 'tc_Complex_Ocomplex' ),
% 0.80/1.19 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'(
% 0.80/1.19 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.19 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.19 , 'v_q____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.19 , clause( 1529, [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' ),
% 0.80/1.19 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1530, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.19 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1531, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1532, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 0.80/1.19 ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1533, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 0.80/1.19 ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.80/1.19 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1534, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1535, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1536, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1537, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1538, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1539, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1540, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1541, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1542, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1543, [ =( 'c_Polynomial_Opoly'( 'v_q____', X,
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.80/1.19 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 0.80/1.19 'v_q____', 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.19 , clause( 1544, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.80/1.19 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1545, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.80/1.19 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1546, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.80/1.19 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 0.80/1.19 , clause( 1547, [ ~( =( 'c_Polynomial_Opoly'( 'v_q____',
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ) ) ] )
% 0.80/1.19 , clause( 1548, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 0.80/1.19 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.19 , X ), T, X ) ) ] )
% 0.80/1.19 , clause( 1549, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 0.80/1.19 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.19 , T, X ), X ) ) ] )
% 0.80/1.19 , clause( 1550, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 0.80/1.19 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.19 , X ), T, X ) ) ] )
% 0.80/1.19 , clause( 1551, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 Z, T, X ), X ) ) ] )
% 0.80/1.19 , clause( 1552, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.19 T, X ), Z, X ) ) ] )
% 0.80/1.19 , clause( 1553, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.19 T, X ), X ) ) ] )
% 0.80/1.19 , clause( 1554, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.80/1.19 =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1555, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1556, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.19 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1557, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 0.80/1.19 , clause( 1558, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) )
% 0.80/1.19 , =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 0.80/1.19 , clause( 1559, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.80/1.19 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 0.80/1.19 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.19 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.19 , 'v_q____', 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.19 , clause( 1560, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) )
% 0.80/1.19 , =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.19 , X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 0.80/1.19 , clause( 1561, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 0.80/1.19 , clause( 1562, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 0.80/1.19 , clause( 1563, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.19 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 0.80/1.19 , clause( 1564, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 0.80/1.19 ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.19 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1565, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 0.80/1.19 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1566, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 0.80/1.19 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.19 , clause( 1567, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.80/1.19 ), X ), Y ) ] )
% 0.80/1.19 , clause( 1568, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 Z, Y, X ) ) ] )
% 0.80/1.19 , clause( 1569, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.19 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 Z, Y, X ) ) ] )
% 0.80/1.19 , clause( 1570, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.80/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1571, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.19 =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.80/1.19 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1572, [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_y____',
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.19 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.80/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.80/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' ),
% 0.80/1.19 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1573, [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.80/1.19 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.19 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.19 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.19 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.19 , 'c_Polynomial_Opoly'( 'v_q____', 'v_y____', 'tc_Complex_Ocomplex' ) ) )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1574, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 0.80/1.19 , clause( 1575, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1576, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat'
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1577, [
% 0.80/1.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1578, [
% 0.80/1.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1579, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.19 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1580, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.19 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1581, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.19 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1582, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.80/1.19 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1583, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.80/1.19 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1584, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.19 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1585, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1586, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1587, [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1588, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1589, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1590, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1591, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1592, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1593, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1594, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1595, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1596, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1597, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1598, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1599, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1600, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1601, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1602, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1603, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1604, [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1605, [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1606, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1607, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1608, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1609, [ 'class_Power_Opower'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1610, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 0.80/1.19 , clause( 1611, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1612, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1613, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1614, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1615, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1616, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1617, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1618, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1619, [ 'class_RealVector_Oreal__normed__algebra'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1620, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1621, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1622, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1623, [ 'class_Ring__and__Field_Odivision__ring'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1624, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1625, [ 'class_RealVector_Oreal__normed__field'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1626, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1627, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1628, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1629, [ 'class_OrderedGroup_Oab__group__add'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1630, [ 'class_Ring__and__Field_Omult__zero'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1631, [ 'class_Ring__and__Field_Ocomm__ring'(
% 0.80/1.19 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1632, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex'
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1633, [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex'
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1634, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1635, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1636, [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex'
% 0.80/1.19 ) ] )
% 0.80/1.19 , clause( 1637, [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1638, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 0.80/1.19 ] )
% 0.80/1.19 , clause( 1639, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1640, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1641, [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1642, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1643, [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1644, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.19 , clause( 1645, [
% 0.80/1.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1646, [
% 0.80/1.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1647, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1648, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1649, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1650, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1651, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1652, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1653, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1654, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1655, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 0.80/1.19 , clause( 1656, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1657, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1658, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1659, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 0.80/1.19 , clause( 1660, [ 'class_Ring__and__Field_Opordered__semiring'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1661, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1662, [ 'class_Ring__and__Field_Oordered__semiring'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1663, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.19 )
% 0.80/1.19 , clause( 1664, [ 'class_Ring__and__Field_Oordered__semidom'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1665, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.19 , clause( 1666, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 0.80/1.19 , clause( 1667, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 0.80/1.19 , clause( 1668, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.19 , clause( 1669, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1670, [ 'class_Ring__and__Field_Opordered__ring'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1671, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 0.80/1.19 , clause( 1672, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1673, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.19 , clause( 1674, [ 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1675, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1676, [ 'class_Ring__and__Field_Omult__mono1'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1677, [ 'class_OrderedGroup_Oab__group__add'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 0.80/1.19 ) ) ] )
% 0.80/1.19 , clause( 1678, [ 'class_Ring__and__Field_Omult__zero'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.19 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 0.80/1.19 , clause( 1679, [ 'class_Ring__and__Field_Omult__mono'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.19 X ) ) ] )
% 0.80/1.19 , clause( 1680, [ 'class_Ring__and__Field_Ocomm__ring'(
% 0.80/1.19 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X
% 0.80/1.19 ) ) ] )
% 0.80/1.19 , clause( 1681, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'(
% 0.80/1.19 X ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.19 , clause( 1682, [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'(
% 0.80/1.19 X ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 0.80/1.19 , clause( 1683, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.19 X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ] )
% 0.80/1.19 , clause( 1684, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.19 X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ] )
% 0.80/1.19 , clause( 1685, [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'(
% 0.80/1.19 X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 0.80/1.19 , clause( 1686, [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'(
% 0.80/1.19 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.80/1.19 , clause( 1687, [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X
% 0.80/1.19 ) ), ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 0.80/1.19 , clause( 1688, [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X
% 0.80/1.20 ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ] )
% 0.80/1.20 , clause( 1689, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X
% 0.80/1.20 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 0.80/1.20 , clause( 1690, [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X )
% 0.80/1.20 ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.20 , clause( 1691, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.20 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.80/1.20 , clause( 1692, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.20 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.80/1.20 , clause( 1693, [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.20 , ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 0.80/1.20 , clause( 1694, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.20 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.80/1.20 , clause( 1695, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.20 ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 0.80/1.20 , clause( 1696, [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.20 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.20 , clause( 1697, [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.20 'class_HOL_Ozero'( X ) ) ] )
% 0.80/1.20 ] ).
% 0.80/1.20
% 0.80/1.20
% 0.80/1.20
% 0.80/1.20 eqswap(
% 0.80/1.20 clause( 2585, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.80/1.20 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.20 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.20 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.20 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.20 , 'c_Polynomial_Opoly'( 'v_q____', 'v_x____', 'tc_Complex_Ocomplex' ) ) ]
% 0.80/1.20 )
% 0.80/1.20 , clause( 1529, [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.80/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' ),
% 0.80/1.20 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.20 ) ] )
% 0.80/1.20 , 0, substitution( 0, [] )).
% 0.80/1.20
% 0.80/1.20
% 0.80/1.20 subsumption(
% 0.80/1.20 clause( 701, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.80/1.20 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.20 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.20 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.20 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.20 , 'c_Polynomial_Opoly'( 'v_q____', 'v_x____', 'tc_Complex_Ocomplex' ) ) ]
% 0.80/1.20 )
% 0.80/1.20 , clause( 2585, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.80/1.20 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.20 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.20 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.20 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.20 , 'c_Polynomial_Opoly'( 'v_q____', 'v_x____', 'tc_Complex_Ocomplex' ) ) ]
% 0.80/1.20 )
% 0.80/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.20
% 0.80/1.20
% 0.80/1.20 paramod(
% 0.80/1.20 clause( 4419, [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_y____',
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.20 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.20 , clause( 701, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.80/1.20 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.20 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_Polynomial_Opoly'( 'v_q____', 'v_x____', 'tc_Complex_Ocomplex' ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , 0, clause( 1572, [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_y____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.21 ) ] )
% 0.80/1.21 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 734, [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_y____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.21 , clause( 4419, [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_y____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 7097, [ ~( =( 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_q____', 'v_y____',
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ) ] )
% 0.80/1.21 , clause( 701, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.80/1.21 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_Polynomial_Opoly'( 'v_q____', 'v_x____', 'tc_Complex_Ocomplex' ) ) ]
% 0.80/1.21 )
% 0.80/1.21 , 0, clause( 1573, [ ~( =( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'v_y____', 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_Polynomial_Opoly'( 'v_q____', 'v_y____', 'tc_Complex_Ocomplex' ) ) )
% 0.80/1.21 ] )
% 0.80/1.21 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 paramod(
% 0.80/1.21 clause( 7098, [ ~( =( 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ) ] )
% 0.80/1.21 , clause( 734, [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_y____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.21 , 0, clause( 7097, [ ~( =( 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_q____', 'v_y____',
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ) ] )
% 0.80/1.21 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 eqrefl(
% 0.80/1.21 clause( 7099, [] )
% 0.80/1.21 , clause( 7098, [ ~( =( 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_q____', 'v_x____',
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ) ] )
% 0.80/1.21 , 0, substitution( 0, [] )).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 subsumption(
% 0.80/1.21 clause( 735, [] )
% 0.80/1.21 , clause( 7099, [] )
% 0.80/1.21 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 end.
% 0.80/1.21
% 0.80/1.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.21
% 0.80/1.21 Memory use:
% 0.80/1.21
% 0.80/1.21 space for terms: 56274
% 0.80/1.21 space for clauses: 62500
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 clauses generated: 837
% 0.80/1.21 clauses kept: 736
% 0.80/1.21 clauses selected: 0
% 0.80/1.21 clauses deleted: 0
% 0.80/1.21 clauses inuse deleted: 0
% 0.80/1.21
% 0.80/1.21 subsentry: 25423
% 0.80/1.21 literals s-matched: 10202
% 0.80/1.21 literals matched: 9987
% 0.80/1.21 full subsumption: 1885
% 0.80/1.21
% 0.80/1.21 checksum: -1328055858
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Bliksem ended
%------------------------------------------------------------------------------