TSTP Solution File: ALG346-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG346-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:25 EDT 2022
% Result : Timeout 300.05s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG346-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 8 19:08:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.00/1.39 *** allocated 10000 integers for termspace/termends
% 1.00/1.39 *** allocated 10000 integers for clauses
% 1.00/1.39 *** allocated 10000 integers for justifications
% 1.00/1.39 *** allocated 15000 integers for termspace/termends
% 1.00/1.39 *** allocated 22500 integers for termspace/termends
% 1.00/1.39 *** allocated 33750 integers for termspace/termends
% 1.00/1.39 Bliksem 1.12
% 1.00/1.39
% 1.00/1.39
% 1.00/1.39 Automatic Strategy Selection
% 1.00/1.39
% 1.00/1.39 Clauses:
% 1.00/1.39 [
% 1.00/1.39 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.00/1.39 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.39 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.39 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.39 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.39 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.39 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.39 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.39 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.39 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.39 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.39 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.39 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.39 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.39 , Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z,
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.00/1.39 , X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.00/1.39 , X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.39 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.39 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.39 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.00/1.39 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.00/1.40 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.00/1.40 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.40 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.00/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_Polynomial_Odegree'( T, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.00/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.40 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.00/1.40 X ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.00/1.40 X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.00/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.40 Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.40 Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.40 X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.40 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.40 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 1.00/1.40 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.00/1.40 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.40 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.40 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.40 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.40 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.40 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.40 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.00/1.40 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.40 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.40 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.40 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.40 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.00/1.40 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.40 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.40 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 1.00/1.40 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.00/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.00/1.40 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.40 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.40 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.40 T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.40 X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.40 T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.40 T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Ocoeff'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_Polynomial_Ocoeff'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.00/1.40 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.40 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.00/1.40 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 1.00/1.40 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 1.00/1.40 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 1.00/1.40 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 1.00/1.40 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.00/1.40 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 1.00/1.40 X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 1.00/1.40 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 Y, X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.40 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.00/1.40 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.40 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.00/1.40 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.40 , X ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.40 , Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.40 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.00/1.40 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.40 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.40 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 1.00/1.40 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Polynomial_Oorder'( Z, Y
% 1.00/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.40 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.40 ), =( Z, Y ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.40 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.40 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.00/1.40 , Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.40 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.40 , Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.40 , X ) ) ), =( Y, Z ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.40 , X ) ) ), =( Y, Z ) ],
% 1.00/1.40 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.00/1.40 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.00/1.40 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.40 , X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Opdivmod'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.00/1.40 'c_Pair'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.40 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.00/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.40 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.40 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 1.00/1.40 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 1.00/1.40 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.40 'tc_nat' ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.40 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.40 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.40 , T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.40 , T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.40 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.00/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 1.00/1.40 , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 1.00/1.40 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.40 , 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( Y, T, Z, U, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.40 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 Y, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.40 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.40 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.40 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.40 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.40 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 Y, T, X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.40 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 Y, T, X ), Z, X ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.40 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 1.00/1.40 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.00/1.40 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.00/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.40 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.40 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Odegree'(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.40 X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Odegree'(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.40 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.40 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.40 , X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.40 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.00/1.40 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.40 , T, X ), X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.00/1.40 X ) ) ), =( Z, T ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.00/1.40 X ) ) ), =( Z, T ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.40 X ) ) ), =( Y, T ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.00/1.40 'c_Polynomial_Oorder'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ), Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.00/1.40 'c_Polynomial_Omonom'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_nat' ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Oone__class_Oone'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 1.00/1.40 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.40 , T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.40 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.40 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.40 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.40 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.40 , X ), W, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.40 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.40 , X ), T, X ), W, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.40 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Ocoeff'( 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_Polynomial_OpCons'( Y, 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.40 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.00/1.40 Z, 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.40 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.00/1.40 ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.40 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.00/1.40 ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 1.00/1.40 Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.40 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.00/1.40 ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.40 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.00/1.40 ],
% 1.00/1.40 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.00/1.40 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.00/1.40 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.40 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.00/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.40 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.40 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.40 , X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Odegree'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'(
% 1.00/1.40 X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'(
% 1.00/1.40 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.00/1.40 'c_Suc'( 'c_Polynomial_Oorder'( Y, Z, X ) ), 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , Z, 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.00/1.40 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.40 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.40 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 1.00/1.40 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.40 , Y, X ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.40 , Z, X ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.40 , Z, X ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( Y, Z, 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 1.00/1.40 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 1.00/1.40 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.40 'c_Polynomial_OpCons'( Y, 'c_Divides_Odiv__class_Omod'( Z, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Osmult'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Polynomial_Ocoeff'(
% 1.00/1.40 'c_Polynomial_OpCons'( Y, 'c_Divides_Odiv__class_Omod'( Z, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( T, X ), X ),
% 1.00/1.40 'c_Polynomial_Ocoeff'( T, 'c_Polynomial_Odegree'( T, X ), X ), X ), T, X
% 1.00/1.40 ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.40 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.40 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ),
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), 'c_lessequals'( 'c_Polynomial_Odegree'(
% 1.00/1.40 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z, 'tc_nat' ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.00/1.40 ), Y ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.40 Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.40 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.40 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.40 , Y, X ) ) ],
% 1.00/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.40 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.40 , Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.00/1.40 'c_Polynomial_Oorder'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ), Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.40 , T, X ), X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.00/1.40 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ), =( Z, T ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.40 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.40 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.40 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 1.00/1.40 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.40 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_Polynomial_Opos__poly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opos__poly'( Y, X ), =(
% 1.00/1.40 Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Ocoeff'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Omonom'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.00/1.40 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.00/1.40 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.40 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.00/1.40 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 1.00/1.40 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.40 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.00/1.40 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 1.00/1.40 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.00/1.40 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.40 ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.40 ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 1.00/1.40 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 1.00/1.40 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.40 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.40 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.00/1.40 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 1.00/1.40 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.40 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.40 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.40 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.00/1.40 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.40 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.40 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_Polynomial_Osmult'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.00/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.00/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.00/1.40 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Suc'( T ), X ),
% 1.00/1.40 'c_Polynomial_Ocoeff'( Z, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 1.00/1.40 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.00/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.40 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.40 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.40 , X ), W, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 1.00/1.40 ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 1.00/1.40 Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 1.00/1.40 T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.00/1.40 , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.00/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.40 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 X, T, 'tc_nat' ) ],
% 1.00/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.00/1.40 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.00/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.00/1.40 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.40 , T, X ), X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.40 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.00/1.40 Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Polynomial_Ocoeff'( Y,
% 1.00/1.40 'c_Polynomial_Odegree'( Y, X ), X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ), X ), ~(
% 1.00/1.40 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.00/1.40 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.00/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.00/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.40 , Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.40 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , Z, X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.40 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , Z, X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.40 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.00/1.40 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.40 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , T, X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.40 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , T, X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.40 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.00/1.40 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.00/1.40 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.00/1.40 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 1.00/1.40 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.40 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.40 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.40 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.40 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.40 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.40 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.40 , T, X ) ) ), =( Z, T ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.40 , T, X ) ) ), =( Y, Z ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 1.00/1.40 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, U, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.40 , T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.00/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.00/1.40 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.40 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.40 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_Polynomial_Opoly'( Y, T, X ), Z, X ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.40 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.40 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.00/1.40 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.40 , Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.40 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.00/1.40 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.40 , U, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.40 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.00/1.40 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 1.00/1.40 'tc_nat' ) ],
% 1.00/1.40 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.00/1.40 , X, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.00/1.40 'c_Polynomial_Osynthetic__div'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Z ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Ocoeff'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.00/1.40 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Ocoeff'( Y,
% 1.00/1.40 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 1.00/1.40 'c_Polynomial_Odegree'( Z, X ), X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.00/1.40 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( Z, Y, T, U, X ) ),
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_OpCons'( W, Z, X ), Y,
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ),
% 1.00/1.40 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y,
% 1.00/1.40 'c_Polynomial_Odegree'( Y, X ), X ), X ), T, X ),
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( W, U, X ),
% 1.00/1.40 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ),
% 1.00/1.40 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y,
% 1.00/1.40 'c_Polynomial_Odegree'( Y, X ), X ), X ), Y, X ), 'tc_Polynomial_Opoly'(
% 1.00/1.40 X ) ), X ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Opdivmod'(
% 1.00/1.40 Y, Z, X ), 'c_Pair'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), U, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, W, 'tc_Polynomial_Opoly'( X ) ), V0,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opdivmod__rel'( V1, T
% 1.00/1.40 , U, W, X ) ), ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, V1, V0, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.40 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.40 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.40 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.00/1.40 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.40 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 Y, T, X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.00/1.40 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.00/1.40 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.40 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.40 Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 1.00/1.40 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, T, U, X ) ) ],
% 1.00/1.40 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.00/1.40 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.40 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.40 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.00/1.40 W, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.40 , X ), T, X ), W, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.00/1.40 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.00/1.40 W, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.40 , X ), W, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_Polynomial_Odegree'( Z, X ), 'c_Polynomial_Odegree'( Y, X ), 'tc_nat'
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.00/1.40 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.00/1.40 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 1.00/1.40 Z, X ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.40 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.00/1.40 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 1.00/1.40 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.40 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.40 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.40 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.40 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.40 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.00/1.40 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.00/1.40 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.00/1.40 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.00/1.40 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.00/1.40 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 1.00/1.40 X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.40 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.40 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_Polynomial_Odegree'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.00/1.40 ), 'tc_nat' ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.00/1.40 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.00/1.40 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 1.00/1.40 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.40 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.40 , Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.40 , Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.40 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'tc_nat' ) ],
% 1.00/1.40 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'tc_nat' ) ],
% 1.00/1.40 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 1.00/1.40 'tc_nat' ) ],
% 1.00/1.40 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.00/1.40 'tc_nat' ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_Polynomial_Odegree'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), T, 'tc_nat' ), ~( 'c_lessequals'(
% 1.00/1.40 'c_Polynomial_Odegree'( Z, X ), T, 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_Polynomial_Odegree'( Y, X ), T, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.00/1.40 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 1.00/1.40 X ), Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.40 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.40 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.40 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.40 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.00/1.40 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.40 , X ), Y ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.40 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.40 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 1.00/1.40 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.40 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.00/1.40 ), Y, X ) ), =( Z, T ) ],
% 1.00/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.40 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.40 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.40 X ), X ) ) ],
% 1.00/1.40 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.00/1.40 , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~(
% 1.00/1.40 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 1.00/1.40 'tc_nat' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 1.00/1.40 'tc_nat' ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 1.00/1.40 ), Z, 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 1.00/1.40 ), Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 1.00/1.40 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 1.00/1.40 X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.41 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 1.00/1.41 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.00/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.00/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.41 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.41 ), 'tc_nat' ), X ) ],
% 1.00/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.41 , X, 'tc_nat' ), X ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ), T
% 1.00/1.41 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Z, X
% 1.00/1.41 ), T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'(
% 1.00/1.41 Y, X ), T, 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 1.00/1.41 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 1.00/1.41 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 1.00/1.41 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.00/1.41 ), Y ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.41 ), Y ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.41 ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.41 ) ) ],
% 1.00/1.41 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.41 ), Y ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.41 ), Y ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.41 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.41 , X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.41 , X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.41 , X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.41 , X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.41 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.41 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 1.00/1.41 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 1.00/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 1.00/1.41 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 1.00/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 1.00/1.41 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 1.00/1.41 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z
% 1.00/1.41 , 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 , X ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.00/1.41 ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.00/1.41 , X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.00/1.41 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.41 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41 ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.00/1.41 ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.41 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.41 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.00/1.41 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 ) ), =( Y, Z ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 1.00/1.41 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z,
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ) ),
% 1.00/1.41 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 1.00/1.41 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 1.00/1.41 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Oorder'(
% 1.00/1.41 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( =(
% 1.00/1.41 'c_Polynomial_Opoly'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.41 ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.41 ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 1.00/1.41 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 1.00/1.41 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, Z ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.41 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.41 X ), T, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.41 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.41 X ), T, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.41 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.41 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.41 X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.41 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.41 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Opoly'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 1.00/1.41 ) ), Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.00/1.41 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'(
% 1.00/1.41 'c_Polynomial_Odegree'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), T, 'tc_nat' ), ~( 'c_lessequals'(
% 1.00/1.41 'c_Polynomial_Odegree'( Z, X ), T, 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.00/1.41 'c_Polynomial_Odegree'( Y, X ), T, 'tc_nat' ) ) ],
% 1.00/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.41 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.00/1.41 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.41 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 1.00/1.41 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.00/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.00/1.41 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.00/1.41 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.41 X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 Z, T, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 Z, T, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.41 X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 Y, T, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 Y, T, X ) ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.41 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.00/1.41 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.00/1.41 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.41 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.00/1.41 , X ) ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.00/1.41 , X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.00/1.41 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.41 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.00/1.41 , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.00/1.41 , U, X ), T, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.41 ) ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.41 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.00/1.41 ) ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.41 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), Y ),
% 1.00/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ),
% 1.00/1.41 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ],
% 1.00/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.41 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.41 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.00/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.00/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.00/1.41 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.00/1.41 , X ), X ), Y ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Odegree'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Z, X ),
% 1.00/1.41 'c_Polynomial_Odegree'( Y, X ), 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Odegree'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Z, X ) ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ),
% 1.00/1.41 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41 ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 1.00/1.41 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Y, Z, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41 , Y, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.41 , T, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.41 , T, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41 , Y, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ), T,
% 1.00/1.41 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Z, X )
% 1.00/1.41 , T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'(
% 1.00/1.41 Y, X ), T, 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 1.00/1.41 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ),
% 1.00/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.41 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Omod'( Y, Z,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 1.00/1.41 , X ) ) ],
% 1.00/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 1.00/1.41 , X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.41 ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.41 ],
% 1.00/1.41 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.41 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.41 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 1.00/1.41 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.00/1.41 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 'c_lessequals'(
% 1.00/1.41 'c_Polynomial_Odegree'( 'c_Polynomial_Osmult'( Y, Z, X ), X ),
% 1.00/1.41 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.41 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.41 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41 ) ), =( Y, Z ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.41 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.41 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.41 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.41 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 1.00/1.41 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.41 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41 ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.41 ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Osynthetic__divmod'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_Pair'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'tc_Polynomial_Opoly'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), 'c_lessequals'( Y, 'c_Polynomial_Odegree'(
% 1.00/1.41 Z, X ), 'tc_nat' ), =( 'c_Polynomial_Ocoeff'( Z, Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y, 'c_Suc'( Z )
% 1.00/1.41 , X ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.41 'c_Polynomial_Omonom'( Y, Z, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.41 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 1.00/1.41 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.00/1.41 'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' ) ),
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' )
% 1.00/1.41 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 1.00/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.41 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.00/1.41 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.41 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.41 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.41 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.41 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.41 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.41 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 1.00/1.41 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.41 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.41 'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.00/1.41 ), =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.41 'c_Polynomial_Osynthetic__div'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ), =( 'c_Polynomial_Odegree'( Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.00/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =(
% 1.00/1.41 Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.41 'c_Polynomial_Opdivmod__rel'( T, Z, U, Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'c_lessequals'(
% 1.00/1.41 'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.00/1.41 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Odegree'( Y, X ),
% 1.00/1.41 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ), =( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.41 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ),
% 1.00/1.41 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'c_lessequals'(
% 1.00/1.41 'c_Polynomial_Oorder'( Y, Z, X ), 'c_Polynomial_Odegree'( Z, X ),
% 1.00/1.41 'tc_nat' ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X )
% 1.00/1.41 ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.41 'c_Polynomial_Odegree'( 'c_Divides_Odiv__class_Omod'( Y, Z,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Z, X ),
% 1.00/1.41 'tc_nat' ), =( 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Opdivmod'(
% 1.00/1.41 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Pair'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.41 'tc_Polynomial_Opoly'( X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.41 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.41 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.00/1.41 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Odegree'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), 'c_lessequals'( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 1.00/1.41 , X ) ), 'tc_nat' ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 1.00/1.41 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.41 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 1.00/1.41 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 1.00/1.41 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.41 'c_Polynomial_Osmult'( T,
% 1.00/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 1.00/1.41 ), 'c_Polynomial_OpCons'( Y,
% 1.00/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 1.00/1.41 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.00/1.41 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.41 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 1.00/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Odegree'( 'c_Power_Opower__class_Opower'(
% 1.00/1.41 'c_Polynomial_OpCons'( Y, 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.41 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.00/1.41 Z, 'tc_Polynomial_Opoly'( X ) ), X ), Z ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 1.00/1.41 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 1.00/1.41 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 1.00/1.41 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 1.00/1.41 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 1.00/1.41 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.41 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 1.00/1.41 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.41 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y,
% 1.00/1.41 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.00/1.41 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_nat' ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 1.00/1.41 , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 1.00/1.41 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.41 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 1.00/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.41 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ],
% 1.00/1.41 [ =( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_pa', 'v_h'
% 1.00/1.41 , 't_a' ), 't_a' ), 'c_Polynomial_Odegree'( 'v_pa', 't_a' ) ) ],
% 1.00/1.41 [ ~( =( 'v_pa', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a'
% 1.00/1.41 ) ) ) ) ],
% 1.00/1.41 [ ~( =( 'c_Polynomial_Odegree'(
% 1.00/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 1.00/1.41 'c_Polynomial_OpCons'( 'v_a', 'v_pa', 't_a' ), 'v_h', 't_a' ), 't_a' ),
% 1.00/1.41 'c_Polynomial_Odegree'( 'c_Polynomial_OpCons'( 'v_a', 'v_pa', 't_a' ),
% 1.00/1.41 't_a' ) ) ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.00/1.41 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.00/1.41 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.00/1.41 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.00/1.41 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.00/1.41 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.00/1.41 'class_Ring__and__Field_Omult__zero'( X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.00/1.41 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.00/1.41 'class_OrderedGroup_Omonoid__add'( X ) ],
% 1.00/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.00/1.41 'class_HOL_Ozero'( X ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_HOL_Oeq'( 'tc_prod'( X, Y ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.00/1.41 ],
% 1.00/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.00/1.41 ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.00/1.41 ],
% 1.00/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.41 X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.41 X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.41 X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.41 X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.41 X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.41 X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.41 X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.00/1.41 ,
% 1.00/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.00/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.00/1.41 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 1.00/1.41 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.00/1.41 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.00/1.41 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 1.00/1.41 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 1.00/1.41 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 1.00/1.41 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 1.00/1.41 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 1.00/1.41 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.41 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.41 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.41 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.41 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.00/1.41 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.41 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.00/1.41 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.41 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.41 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.41 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 1.00/1.41 X ) ) ],
% 1.00/1.41 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 1.00/1.41 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 1.00/1.41 ] .
% 1.00/1.41
% 1.00/1.41
% 1.00/1.41 percentage equality = 0.219187, percentage horn = 0.850818
% 1.00/1.41 This is a problem with some equality
% 1.00/1.41
% 1.00/1.41
% 1.00/1.41
% 1.00/1.41 Options Used:
% 1.00/1.41
% 1.00/1.41 useres = 1
% 1.00/1.41 useparamod = 1
% 1.00/1.41 useeqrefl = 1
% 1.00/1.41 useeqfact = 1
% 1.00/1.41 usefactor = 1
% 1.00/1.41 usesimpsplitting = 0
% 1.00/1.41 usesimpdemod = 5
% 1.00/1.41 usesimpres = 3
% 1.00/1.41
% 1.00/1.41 resimpinuse = 1000
% 1.00/1.41 resimpclauses = 20000
% 1.00/1.41 substype = eqrewr
% 1.00/1.41 backwardsubs = 1
% 1.00/1.41 selectoldest = 5
% 1.00/1.41
% 1.00/1.41 litorderings [0] = split
% 1.00/1.41 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.41
% 1.00/1.41 termordering = kbo
% 1.00/1.41
% 1.00/1.41 litapriori = 0
% 1.00/1.41 termapriori = 1
% 1.00/1.41 litaposteriori = 0
% 1.00/1.41 termaposteriori = 0
% 1.00/1.41 demodaposteriori = 0
% 1.00/1.41 ordereqreflfact = 0
% 1.00/1.41
% 1.00/1.41 litselect = negord
% 1.00/1.41
% 1.00/1.41 maxweight = 15
% 1.00/1.41 maxdepth = 30000
% 1.00/1.41 maxlength = 115
% 1.00/1.41 maxnrvars = 195
% 1.00/1.41 excuselevel = 1
% 1.00/1.41 increasemaxweight = 1
% 1.00/1.41
% 1.00/1.41 maxselected = 10000000
% 1.00/1.41 maxnrclauses = 10000000
% 1.00/1.41
% 1.00/1.41 showgenerated = 0
% 1.00/1.41 showkept = 0
% 1.00/1.41 showselected = 0
% 1.00/1.41 showdeleted = 0
% 1.00/1.41 showresimp = 1
% 1.00/1.41 showstatus = 2000
% 1.00/1.41
% 1.00/1.41 prologoutput = 1
% 1.00/1.41 nrgoals = 5000000
% 1.00/1.41 totalproof = 1
% 1.00/1.41
% 1.00/1.41 Symbols occurring in the translation:
% 1.00/1.41
% 1.00/1.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.41 . [1, 2] (w:1, o:136, a:1, s:1, b:0),
% 1.00/1.41 ! [4, 1] (w:0, o:60, a:1, s:1, b:0),
% 1.00/1.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.41 'c_Suc' [40, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.00/1.41 'class_Ring__and__Field_Oordered__ring__strict' [42, 1] (w:1, o:68
% 1.00/1.41 , a:1, s:1, b:0),
% 1.00/1.41 'c_HOL_Otimes__class_Otimes' [44, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.00/1.41 'c_HOL_Oplus__class_Oplus' [46, 3] (w:1, o:169, a:1, s:1, b:0),
% 1.00/1.41 'c_HOL_Ozero__class_Ozero' [47, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.00/1.41 'class_Ring__and__Field_Oidom' [48, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.00/1.41 'class_Int_Onumber__ring' [49, 1] (w:1, o:73, a:1, s:1, b:0),
% 1.00/1.41 'class_Ring__and__Field_Opordered__ring' [53, 1] (w:1, o:80, a:1, s:1
% 1.00/1.41 , b:0),
% 1.00/1.41 'c_lessequals' [56, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.00/1.41 'class_Ring__and__Field_Omult__mono' [57, 1] (w:1, o:81, a:1, s:1, b:
% 1.00/1.41 0),
% 1.00/1.41 'class_Ring__and__Field_Omult__mono1' [58, 1] (w:1, o:82, a:1, s:1
% 1.00/1.41 , b:0),
% 1.00/1.41 'class_Ring__and__Field_Oordered__semidom' [59, 1] (w:1, o:74, a:1
% 1.00/1.41 , s:1, b:0),
% 1.00/1.41 'c_Power_Opower__class_Opower' [60, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.00/1.41 'c_HOL_Oord__class_Oless' [61, 3] (w:1, o:168, a:1, s:1, b:0),
% 1.00/1.41 'c_HOL_Oone__class_Oone' [62, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.00/1.41 'class_Ring__and__Field_Ofield' [63, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.00/1.41 'tc_Polynomial_Opoly' [65, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.00/1.41 'c_Divides_Odiv__class_Omod' [66, 3] (w:1, o:172, a:1, s:1, b:0),
% 1.00/1.41 'c_Divides_Odiv__class_Odiv' [67, 3] (w:1, o:173, a:1, s:1, b:0),
% 1.00/1.41 'class_Ring__and__Field_Ocomm__semiring__1' [68, 1] (w:1, o:89, a:1
% 1.00/1.41 , s:1, b:0),
% 1.00/1.41 'c_Ring__and__Field_Odvd__class_Odvd' [69, 3] (w:1, o:174, a:1, s:1
% 1.00/1.41 , b:0),
% 1.00/1.41 'class_OrderedGroup_Ogroup__add' [70, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.00/1.41
% 1.00/1.41 'c_HOL_Ouminus__class_Ouminus' [71, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Oordered__semiring__strict' [72, 1] (w:1, o:
% 1.95/2.33 75, a:1, s:1, b:0),
% 1.95/2.33 'class_Divides_Osemiring__div' [73, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Osemiring__0' [74, 1] (w:1, o:97, a:1, s:1
% 1.95/2.33 , b:0),
% 1.95/2.33 'class_Power_Opower' [75, 1] (w:1, o:119, a:1, s:1, b:0),
% 1.95/2.33 'tc_nat' [76, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Ozero__neq__one' [77, 1] (w:1, o:120, a:1, s:
% 1.95/2.33 1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Ono__zero__divisors' [78, 1] (w:1, o:67, a:1
% 1.95/2.33 , s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Omult__zero' [79, 1] (w:1, o:66, a:1, s:1, b:
% 1.95/2.33 0),
% 1.95/2.33 'c_Polynomial_Opdivmod__rel' [81, 5] (w:1, o:191, a:1, s:1, b:0),
% 1.95/2.33 'c_Polynomial_Odegree' [82, 2] (w:1, o:162, a:1, s:1, b:0),
% 1.95/2.33 'class_OrderedGroup_Opordered__ab__group__add' [83, 1] (w:1, o:99, a:
% 1.95/2.33 1, s:1, b:0),
% 1.95/2.33 'class_OrderedGroup_Oab__semigroup__idem__mult' [85, 1] (w:1, o:100
% 1.95/2.33 , a:1, s:1, b:0),
% 1.95/2.33 'class_OrderedGroup_Olordered__ab__group__add' [86, 1] (w:1, o:101
% 1.95/2.33 , a:1, s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Oring' [87, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Oordered__field' [88, 1] (w:1, o:76, a:1, s:1
% 1.95/2.33 , b:0),
% 1.95/2.33 'class_Ring__and__Field_Odivision__by__zero' [89, 1] (w:1, o:122, a:1
% 1.95/2.33 , s:1, b:0),
% 1.95/2.33 'c_HOL_Oinverse__class_Odivide' [90, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.95/2.33
% 1.95/2.33 'class_Ring__and__Field_Oordered__idom' [91, 1] (w:1, o:77, a:1, s:1
% 1.95/2.33 , b:0),
% 1.95/2.33 'c_Polynomial_Opos__poly' [93, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Ocomm__semiring__0' [94, 1] (w:1, o:88, a:1
% 1.95/2.33 , s:1, b:0),
% 1.95/2.33 'c_Polynomial_OpCons' [95, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.95/2.33 'c_Polynomial_Osmult' [96, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.95/2.33 'c_Pair' [98, 4] (w:1, o:190, a:1, s:1, b:0),
% 1.95/2.33 'c_HOL_Ominus__class_Ominus' [102, 3] (w:1, o:179, a:1, s:1, b:0),
% 1.95/2.33 'class_OrderedGroup_Ocomm__monoid__mult' [105, 1] (w:1, o:102, a:1
% 1.95/2.33 , s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Odvd' [106, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Ocomm__ring' [107, 1] (w:1, o:86, a:1, s:1
% 1.95/2.33 , b:0),
% 1.95/2.33 'class_Orderings_Oorder' [111, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.95/2.33 'class_Orderings_Olinorder' [112, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Opordered__cancel__semiring' [113, 1] (w:1
% 1.95/2.33 , o:124, a:1, s:1, b:0),
% 1.95/2.33 'class_Divides_Oring__div' [114, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.95/2.33 'class_OrderedGroup_Oab__semigroup__mult' [115, 1] (w:1, o:105, a:1
% 1.95/2.33 , s:1, b:0),
% 1.95/2.33 'class_RealVector_Oreal__normed__algebra' [120, 1] (w:1, o:125, a:1
% 1.95/2.33 , s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Ocomm__semiring' [123, 1] (w:1, o:121, a:1
% 1.95/2.33 , s:1, b:0),
% 1.95/2.33 'class_OrderedGroup_Oab__group__add' [124, 1] (w:1, o:106, a:1, s:1
% 1.95/2.33 , b:0),
% 1.95/2.33 'c_Polynomial_Ocoeff' [125, 3] (w:1, o:180, a:1, s:1, b:0),
% 1.95/2.33 'class_RealVector_Oreal__normed__vector' [126, 1] (w:1, o:126, a:1
% 1.95/2.33 , s:1, b:0),
% 1.95/2.33 'c_HOL_Osgn__class_Osgn' [127, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.95/2.33 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [128, 1]
% 1.95/2.33 (w:1, o:107, a:1, s:1, b:0),
% 1.95/2.33 'class_OrderedGroup_Opordered__ab__semigroup__add' [129, 1] (w:1, o:
% 1.95/2.33 108, a:1, s:1, b:0),
% 1.95/2.33 'c_Polynomial_Opoly' [132, 3] (w:1, o:181, a:1, s:1, b:0),
% 1.95/2.33 'c_Polynomial_Oorder' [133, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.95/2.33 'class_Lattices_Oboolean__algebra' [138, 1] (w:1, o:127, a:1, s:1, b:
% 1.95/2.33 0),
% 1.95/2.33 'class_OrderedGroup_Opordered__comm__monoid__add' [139, 1] (w:1, o:
% 1.95/2.33 109, a:1, s:1, b:0),
% 1.95/2.33 'c_Polynomial_Opdivmod' [140, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Osgn__if' [141, 1] (w:1, o:128, a:1, s:1, b:0
% 1.95/2.33 ),
% 1.95/2.33 'class_RealVector_Oreal__normed__field' [142, 1] (w:1, o:129, a:1, s:
% 1.95/2.33 1, b:0),
% 1.95/2.33 'class_Ring__and__Field_Ocomm__ring__1' [143, 1] (w:1, o:87, a:1, s:1
% 1.95/2.33 , b:0),
% 1.95/2.33 'class_Ring__and__Field_Oordered__semiring' [144, 1] (w:1, o:78, a:1
% 1.95/2.33 , s:1, b:0),
% 1.95/2.33 'c_Polynomial_Osynthetic__div' [145, 3] (w:1, o:184, a:1, s:1, b:0),
% 1.95/2.33
% 1.95/2.33 'class_HOL_Ozero' [146, 1] (w:1, o:71, a:1, s:1, b:0),
% 12.08/12.43 'class_HOL_Oeq' [147, 1] (w:1, o:72, a:1, s:1, b:0),
% 12.08/12.43 'c_HOL_Oeq__class_Oeq' [148, 3] (w:1, o:185, a:1, s:1, b:0),
% 12.08/12.43 'class_Ring__and__Field_Opordered__semiring' [149, 1] (w:1, o:130, a:
% 12.08/12.43 1, s:1, b:0),
% 12.08/12.43 'c_Polynomial_Omonom' [150, 3] (w:1, o:186, a:1, s:1, b:0),
% 12.08/12.43 'c_Polynomial_Opoly__gcd' [151, 3] (w:1, o:187, a:1, s:1, b:0),
% 12.08/12.43 'class_OrderedGroup_Ocomm__monoid__add' [152, 1] (w:1, o:110, a:1, s:
% 12.08/12.43 1, b:0),
% 12.08/12.43 'class_OrderedGroup_Ocancel__ab__semigroup__add' [153, 1] (w:1, o:111
% 12.08/12.43 , a:1, s:1, b:0),
% 12.08/12.43 'class_OrderedGroup_Ocancel__semigroup__add' [154, 1] (w:1, o:112, a:
% 12.08/12.43 1, s:1, b:0),
% 12.08/12.43 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [158, 3]
% 12.08/12.43 (w:1, o:188, a:1, s:1, b:0),
% 12.08/12.43 'class_SEQ_Obanach' [159, 1] (w:1, o:135, a:1, s:1, b:0),
% 12.08/12.43 'c_Transcendental_Oexp' [160, 2] (w:1, o:165, a:1, s:1, b:0),
% 12.08/12.43 'class_OrderedGroup_Omonoid__mult' [161, 1] (w:1, o:113, a:1, s:1, b:
% 12.08/12.43 0),
% 12.08/12.43 'class_Orderings_Opreorder' [162, 1] (w:1, o:114, a:1, s:1, b:0),
% 12.08/12.43 'class_OrderedGroup_Oab__semigroup__add' [163, 1] (w:1, o:115, a:1
% 12.08/12.43 , s:1, b:0),
% 12.08/12.43 'c_Polynomial_Opcompose' [167, 3] (w:1, o:182, a:1, s:1, b:0),
% 12.08/12.43 'class_RealVector_Oreal__field' [168, 1] (w:1, o:131, a:1, s:1, b:0)
% 12.08/12.43 ,
% 12.08/12.43 'class_OrderedGroup_Oordered__ab__group__add' [169, 1] (w:1, o:98, a:
% 12.08/12.43 1, s:1, b:0),
% 12.08/12.43 'class_Ring__and__Field_Oring__1' [170, 1] (w:1, o:94, a:1, s:1, b:0)
% 12.08/12.43 ,
% 12.08/12.43 'class_Ring__and__Field_Osemiring' [171, 1] (w:1, o:132, a:1, s:1, b:
% 12.08/12.43 0),
% 12.08/12.43 'class_RealVector_Oreal__normed__algebra__1' [172, 1] (w:1, o:133, a:
% 12.08/12.43 1, s:1, b:0),
% 12.08/12.43 'class_Ring__and__Field_Oordered__comm__semiring__strict' [175, 1]
% 12.08/12.43 (w:1, o:79, a:1, s:1, b:0),
% 12.08/12.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [177, 1]
% 12.08/12.43 (w:1, o:116, a:1, s:1, b:0),
% 12.08/12.43 'class_Ring__and__Field_Oring__no__zero__divisors' [178, 1] (w:1, o:
% 12.08/12.43 95, a:1, s:1, b:0),
% 12.08/12.43 'class_Ring__and__Field_Oring__1__no__zero__divisors' [179, 1] (w:1
% 12.08/12.43 , o:96, a:1, s:1, b:0),
% 12.08/12.43 'class_RealVector_Oreal__normed__div__algebra' [180, 1] (w:1, o:134
% 12.08/12.43 , a:1, s:1, b:0),
% 12.08/12.43 'class_OrderedGroup_Omonoid__add' [181, 1] (w:1, o:117, a:1, s:1, b:0
% 12.08/12.43 ),
% 12.08/12.43 'c_Polynomial_Osynthetic__divmod' [182, 3] (w:1, o:189, a:1, s:1, b:0
% 12.08/12.43 ),
% 12.08/12.43 't_a' [183, 0] (w:1, o:53, a:1, s:1, b:0),
% 12.08/12.43 'v_pa' [184, 0] (w:1, o:54, a:1, s:1, b:0),
% 12.08/12.43 'v_h' [185, 0] (w:1, o:55, a:1, s:1, b:0),
% 12.08/12.43 'v_a' [186, 0] (w:1, o:56, a:1, s:1, b:0),
% 12.08/12.43 'class_OrderedGroup_Ocancel__comm__monoid__add' [189, 1] (w:1, o:118
% 12.08/12.43 , a:1, s:1, b:0),
% 12.08/12.43 'tc_prod' [191, 2] (w:1, o:166, a:1, s:1, b:0).
% 12.08/12.43
% 12.08/12.43
% 12.08/12.43 Starting Search:
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43
% 12.08/12.43 Intermediate Status:
% 12.08/12.43 Generated: 4313
% 12.08/12.43 Kept: 2002
% 12.08/12.43 Inuse: 126
% 12.08/12.43 Deleted: 0
% 12.08/12.43 Deletedinuse: 0
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43
% 12.08/12.43 Intermediate Status:
% 12.08/12.43 Generated: 12594
% 12.08/12.43 Kept: 4309
% 12.08/12.43 Inuse: 278
% 12.08/12.43 Deleted: 3
% 12.08/12.43 Deletedinuse: 0
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43
% 12.08/12.43 Intermediate Status:
% 12.08/12.43 Generated: 24293
% 12.08/12.43 Kept: 6655
% 12.08/12.43 Inuse: 348
% 12.08/12.43 Deleted: 3
% 12.08/12.43 Deletedinuse: 0
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43
% 12.08/12.43 Intermediate Status:
% 12.08/12.43 Generated: 30362
% 12.08/12.43 Kept: 9021
% 12.08/12.43 Inuse: 368
% 12.08/12.43 Deleted: 3
% 12.08/12.43 Deletedinuse: 0
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43
% 12.08/12.43 Intermediate Status:
% 12.08/12.43 Generated: 37930
% 12.08/12.43 Kept: 11061
% 12.08/12.43 Inuse: 413
% 12.08/12.43 Deleted: 3
% 12.08/12.43 Deletedinuse: 0
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43
% 12.08/12.43 Intermediate Status:
% 12.08/12.43 Generated: 49711
% 12.08/12.43 Kept: 13064
% 12.08/12.43 Inuse: 464
% 12.08/12.43 Deleted: 6
% 12.08/12.43 Deletedinuse: 2
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43
% 12.08/12.43 Intermediate Status:
% 12.08/12.43 Generated: 64701
% 12.08/12.43 Kept: 15453
% 12.08/12.43 Inuse: 530
% 12.08/12.43 Deleted: 8
% 12.08/12.43 Deletedinuse: 2
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43
% 12.08/12.43 Intermediate Status:
% 12.08/12.43 Generated: 76018
% 12.08/12.43 Kept: 17909
% 12.08/12.43 Inuse: 556
% 12.08/12.43 Deleted: 8
% 12.08/12.43 Deletedinuse: 2
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43 Resimplifying inuse:
% 12.08/12.43 Done
% 12.08/12.43
% 12.08/12.43
% 12.08/12.43 Intermediate Status:
% 34.77/35.17 Generated: 89173
% 34.77/35.17 Kept: 20103
% 34.77/35.17 Inuse: 598
% 34.77/35.17 Deleted: 13
% 34.77/35.17 Deletedinuse: 5
% 34.77/35.17
% 34.77/35.17 Resimplifying clauses:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 100167
% 34.77/35.17 Kept: 22106
% 34.77/35.17 Inuse: 664
% 34.77/35.17 Deleted: 344
% 34.77/35.17 Deletedinuse: 5
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 114454
% 34.77/35.17 Kept: 24131
% 34.77/35.17 Inuse: 693
% 34.77/35.17 Deleted: 344
% 34.77/35.17 Deletedinuse: 5
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 138350
% 34.77/35.17 Kept: 26797
% 34.77/35.17 Inuse: 713
% 34.77/35.17 Deleted: 344
% 34.77/35.17 Deletedinuse: 5
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 154099
% 34.77/35.17 Kept: 29394
% 34.77/35.17 Inuse: 733
% 34.77/35.17 Deleted: 344
% 34.77/35.17 Deletedinuse: 5
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 167832
% 34.77/35.17 Kept: 32352
% 34.77/35.17 Inuse: 737
% 34.77/35.17 Deleted: 351
% 34.77/35.17 Deletedinuse: 6
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 185782
% 34.77/35.17 Kept: 34951
% 34.77/35.17 Inuse: 758
% 34.77/35.17 Deleted: 365
% 34.77/35.17 Deletedinuse: 6
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 207085
% 34.77/35.17 Kept: 37408
% 34.77/35.17 Inuse: 803
% 34.77/35.17 Deleted: 367
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 222097
% 34.77/35.17 Kept: 39456
% 34.77/35.17 Inuse: 853
% 34.77/35.17 Deleted: 367
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying clauses:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 240860
% 34.77/35.17 Kept: 43058
% 34.77/35.17 Inuse: 873
% 34.77/35.17 Deleted: 596
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 249432
% 34.77/35.17 Kept: 46422
% 34.77/35.17 Inuse: 878
% 34.77/35.17 Deleted: 596
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 272500
% 34.77/35.17 Kept: 49131
% 34.77/35.17 Inuse: 903
% 34.77/35.17 Deleted: 596
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 283570
% 34.77/35.17 Kept: 51213
% 34.77/35.17 Inuse: 933
% 34.77/35.17 Deleted: 596
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 293017
% 34.77/35.17 Kept: 54183
% 34.77/35.17 Inuse: 948
% 34.77/35.17 Deleted: 596
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 305368
% 34.77/35.17 Kept: 56218
% 34.77/35.17 Inuse: 973
% 34.77/35.17 Deleted: 596
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 327293
% 34.77/35.17 Kept: 58421
% 34.77/35.17 Inuse: 988
% 34.77/35.17 Deleted: 596
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 353944
% 34.77/35.17 Kept: 61165
% 34.77/35.17 Inuse: 1028
% 34.77/35.17 Deleted: 596
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying clauses:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 374445
% 34.77/35.17 Kept: 63187
% 34.77/35.17 Inuse: 1041
% 34.77/35.17 Deleted: 837
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 391376
% 34.77/35.17 Kept: 65198
% 34.77/35.17 Inuse: 1069
% 34.77/35.17 Deleted: 837
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 407293
% 34.77/35.17 Kept: 72233
% 34.77/35.17 Inuse: 1079
% 34.77/35.17 Deleted: 837
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 415969
% 34.77/35.17 Kept: 77583
% 34.77/35.17 Inuse: 1080
% 34.77/35.17 Deleted: 837
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 429003
% 34.77/35.17 Kept: 80526
% 34.77/35.17 Inuse: 1108
% 34.77/35.17 Deleted: 837
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying clauses:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 436873
% 34.77/35.17 Kept: 82554
% 34.77/35.17 Inuse: 1133
% 34.77/35.17 Deleted: 941
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 450247
% 34.77/35.17 Kept: 84865
% 34.77/35.17 Inuse: 1163
% 34.77/35.17 Deleted: 941
% 34.77/35.17 Deletedinuse: 8
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17 Resimplifying inuse:
% 34.77/35.17 Done
% 34.77/35.17
% 34.77/35.17
% 34.77/35.17 Intermediate Status:
% 34.77/35.17 Generated: 462140
% 34.77/35.17 Kept: 87247
% 34.77/35.17 Inuse: 1188
% 81.66/82.05 Deleted: 941
% 81.66/82.05 Deletedinuse: 8
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 481395
% 81.66/82.05 Kept: 89447
% 81.66/82.05 Inuse: 1218
% 81.66/82.05 Deleted: 941
% 81.66/82.05 Deletedinuse: 8
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 492915
% 81.66/82.05 Kept: 91507
% 81.66/82.05 Inuse: 1258
% 81.66/82.05 Deleted: 941
% 81.66/82.05 Deletedinuse: 8
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 503520
% 81.66/82.05 Kept: 93710
% 81.66/82.05 Inuse: 1283
% 81.66/82.05 Deleted: 941
% 81.66/82.05 Deletedinuse: 8
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 520145
% 81.66/82.05 Kept: 96493
% 81.66/82.05 Inuse: 1298
% 81.66/82.05 Deleted: 941
% 81.66/82.05 Deletedinuse: 8
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 544333
% 81.66/82.05 Kept: 99278
% 81.66/82.05 Inuse: 1308
% 81.66/82.05 Deleted: 941
% 81.66/82.05 Deletedinuse: 8
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 567999
% 81.66/82.05 Kept: 101600
% 81.66/82.05 Inuse: 1318
% 81.66/82.05 Deleted: 941
% 81.66/82.05 Deletedinuse: 8
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying clauses:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 584847
% 81.66/82.05 Kept: 103603
% 81.66/82.05 Inuse: 1337
% 81.66/82.05 Deleted: 1034
% 81.66/82.05 Deletedinuse: 8
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 597216
% 81.66/82.05 Kept: 105606
% 81.66/82.05 Inuse: 1367
% 81.66/82.05 Deleted: 1034
% 81.66/82.05 Deletedinuse: 8
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 608842
% 81.66/82.05 Kept: 107608
% 81.66/82.05 Inuse: 1395
% 81.66/82.05 Deleted: 1035
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 618907
% 81.66/82.05 Kept: 110039
% 81.66/82.05 Inuse: 1423
% 81.66/82.05 Deleted: 1035
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 624911
% 81.66/82.05 Kept: 112318
% 81.66/82.05 Inuse: 1438
% 81.66/82.05 Deleted: 1035
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 634433
% 81.66/82.05 Kept: 114356
% 81.66/82.05 Inuse: 1466
% 81.66/82.05 Deleted: 1035
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 644342
% 81.66/82.05 Kept: 116670
% 81.66/82.05 Inuse: 1493
% 81.66/82.05 Deleted: 1035
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 660968
% 81.66/82.05 Kept: 120021
% 81.66/82.05 Inuse: 1523
% 81.66/82.05 Deleted: 1035
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying clauses:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 671930
% 81.66/82.05 Kept: 122343
% 81.66/82.05 Inuse: 1548
% 81.66/82.05 Deleted: 1520
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 683558
% 81.66/82.05 Kept: 124346
% 81.66/82.05 Inuse: 1578
% 81.66/82.05 Deleted: 1520
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 692606
% 81.66/82.05 Kept: 126355
% 81.66/82.05 Inuse: 1609
% 81.66/82.05 Deleted: 1520
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 706902
% 81.66/82.05 Kept: 129079
% 81.66/82.05 Inuse: 1628
% 81.66/82.05 Deleted: 1520
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 718798
% 81.66/82.05 Kept: 131165
% 81.66/82.05 Inuse: 1643
% 81.66/82.05 Deleted: 1520
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 729678
% 81.66/82.05 Kept: 135295
% 81.66/82.05 Inuse: 1653
% 81.66/82.05 Deleted: 1520
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 737779
% 81.66/82.05 Kept: 137300
% 81.66/82.05 Inuse: 1678
% 81.66/82.05 Deleted: 1520
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 756677
% 81.66/82.05 Kept: 140595
% 81.66/82.05 Inuse: 1713
% 81.66/82.05 Deleted: 1520
% 81.66/82.05 Deletedinuse: 9
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 775331
% 81.66/82.05 Kept: 143729
% 81.66/82.05 Inuse: 1733
% 81.66/82.05 Deleted: 1521
% 81.66/82.05 Deletedinuse: 10
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying clauses:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05 Resimplifying inuse:
% 81.66/82.05 Done
% 81.66/82.05
% 81.66/82.05
% 81.66/82.05 Intermediate Status:
% 81.66/82.05 Generated: 789850
% 81.66/82.05 Kept: 145931
% 157.78/158.29 Inuse: 1778
% 157.78/158.29 Deleted: 1840
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 800560
% 157.78/158.29 Kept: 147938
% 157.78/158.29 Inuse: 1789
% 157.78/158.29 Deleted: 1840
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 819525
% 157.78/158.29 Kept: 150219
% 157.78/158.29 Inuse: 1793
% 157.78/158.29 Deleted: 1840
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 832810
% 157.78/158.29 Kept: 157281
% 157.78/158.29 Inuse: 1795
% 157.78/158.29 Deleted: 1840
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 852160
% 157.78/158.29 Kept: 159573
% 157.78/158.29 Inuse: 1798
% 157.78/158.29 Deleted: 1840
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 866199
% 157.78/158.29 Kept: 161782
% 157.78/158.29 Inuse: 1823
% 157.78/158.29 Deleted: 1840
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 887885
% 157.78/158.29 Kept: 164863
% 157.78/158.29 Inuse: 1853
% 157.78/158.29 Deleted: 1840
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying clauses:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 903745
% 157.78/158.29 Kept: 166902
% 157.78/158.29 Inuse: 1863
% 157.78/158.29 Deleted: 2020
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 917853
% 157.78/158.29 Kept: 169007
% 157.78/158.29 Inuse: 1873
% 157.78/158.29 Deleted: 2020
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 932464
% 157.78/158.29 Kept: 171013
% 157.78/158.29 Inuse: 1897
% 157.78/158.29 Deleted: 2020
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 944952
% 157.78/158.29 Kept: 173025
% 157.78/158.29 Inuse: 1918
% 157.78/158.29 Deleted: 2020
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 956150
% 157.78/158.29 Kept: 175123
% 157.78/158.29 Inuse: 1938
% 157.78/158.29 Deleted: 2020
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 972314
% 157.78/158.29 Kept: 177990
% 157.78/158.29 Inuse: 1953
% 157.78/158.29 Deleted: 2020
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 987377
% 157.78/158.29 Kept: 180238
% 157.78/158.29 Inuse: 1983
% 157.78/158.29 Deleted: 2020
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 999819
% 157.78/158.29 Kept: 182377
% 157.78/158.29 Inuse: 2008
% 157.78/158.29 Deleted: 2020
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 1012427
% 157.78/158.29 Kept: 184403
% 157.78/158.29 Inuse: 2034
% 157.78/158.29 Deleted: 2020
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying clauses:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 1035657
% 157.78/158.29 Kept: 187840
% 157.78/158.29 Inuse: 2058
% 157.78/158.29 Deleted: 2185
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 1054648
% 157.78/158.29 Kept: 190624
% 157.78/158.29 Inuse: 2073
% 157.78/158.29 Deleted: 2185
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 1069316
% 157.78/158.29 Kept: 192889
% 157.78/158.29 Inuse: 2098
% 157.78/158.29 Deleted: 2185
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 1084763
% 157.78/158.29 Kept: 195215
% 157.78/158.29 Inuse: 2123
% 157.78/158.29 Deleted: 2185
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 1096874
% 157.78/158.29 Kept: 197245
% 157.78/158.29 Inuse: 2142
% 157.78/158.29 Deleted: 2185
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 1111467
% 157.78/158.29 Kept: 199260
% 157.78/158.29 Inuse: 2170
% 157.78/158.29 Deleted: 2185
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 1125396
% 157.78/158.29 Kept: 201529
% 157.78/158.29 Inuse: 2178
% 157.78/158.29 Deleted: 2185
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 1140283
% 157.78/158.29 Kept: 203532
% 157.78/158.29 Inuse: 2185
% 157.78/158.29 Deleted: 2185
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29 Resimplifying clauses:
% 157.78/158.29 Done
% 157.78/158.29
% 157.78/158.29
% 157.78/158.29 Intermediate Status:
% 157.78/158.29 Generated: 1153764
% 157.78/158.29 Kept: 205634
% 157.78/158.29 Inuse: 2198
% 157.78/158.29 Deleted: 2535
% 157.78/158.29 Deletedinuse: 10
% 157.78/158.29
% 157.78/158.29 Resimplifying inuse:
% 157.78/158.29 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1168907
% 266.15/266.66 Kept: 207848
% 266.15/266.66 Inuse: 2213
% 266.15/266.66 Deleted: 2535
% 266.15/266.66 Deletedinuse: 10
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1186921
% 266.15/266.66 Kept: 209885
% 266.15/266.66 Inuse: 2233
% 266.15/266.66 Deleted: 2535
% 266.15/266.66 Deletedinuse: 10
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1205621
% 266.15/266.66 Kept: 211900
% 266.15/266.66 Inuse: 2260
% 266.15/266.66 Deleted: 2535
% 266.15/266.66 Deletedinuse: 10
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1221105
% 266.15/266.66 Kept: 214276
% 266.15/266.66 Inuse: 2268
% 266.15/266.66 Deleted: 2535
% 266.15/266.66 Deletedinuse: 10
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1234163
% 266.15/266.66 Kept: 216284
% 266.15/266.66 Inuse: 2284
% 266.15/266.66 Deleted: 2535
% 266.15/266.66 Deletedinuse: 10
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1254641
% 266.15/266.66 Kept: 219727
% 266.15/266.66 Inuse: 2303
% 266.15/266.66 Deleted: 2535
% 266.15/266.66 Deletedinuse: 10
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1270463
% 266.15/266.66 Kept: 222107
% 266.15/266.66 Inuse: 2313
% 266.15/266.66 Deleted: 2535
% 266.15/266.66 Deletedinuse: 10
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1279931
% 266.15/266.66 Kept: 224363
% 266.15/266.66 Inuse: 2328
% 266.15/266.66 Deleted: 2535
% 266.15/266.66 Deletedinuse: 10
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying clauses:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1289591
% 266.15/266.66 Kept: 226571
% 266.15/266.66 Inuse: 2343
% 266.15/266.66 Deleted: 2914
% 266.15/266.66 Deletedinuse: 10
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1316574
% 266.15/266.66 Kept: 229510
% 266.15/266.66 Inuse: 2348
% 266.15/266.66 Deleted: 2914
% 266.15/266.66 Deletedinuse: 10
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1335957
% 266.15/266.66 Kept: 231900
% 266.15/266.66 Inuse: 2383
% 266.15/266.66 Deleted: 2915
% 266.15/266.66 Deletedinuse: 11
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1348766
% 266.15/266.66 Kept: 234086
% 266.15/266.66 Inuse: 2408
% 266.15/266.66 Deleted: 2916
% 266.15/266.66 Deletedinuse: 12
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1363213
% 266.15/266.66 Kept: 236145
% 266.15/266.66 Inuse: 2413
% 266.15/266.66 Deleted: 2916
% 266.15/266.66 Deletedinuse: 12
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1376950
% 266.15/266.66 Kept: 238243
% 266.15/266.66 Inuse: 2418
% 266.15/266.66 Deleted: 2917
% 266.15/266.66 Deletedinuse: 13
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1403135
% 266.15/266.66 Kept: 242199
% 266.15/266.66 Inuse: 2448
% 266.15/266.66 Deleted: 2917
% 266.15/266.66 Deletedinuse: 13
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1413975
% 266.15/266.66 Kept: 244214
% 266.15/266.66 Inuse: 2464
% 266.15/266.66 Deleted: 2917
% 266.15/266.66 Deletedinuse: 13
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying clauses:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1437286
% 266.15/266.66 Kept: 248615
% 266.15/266.66 Inuse: 2478
% 266.15/266.66 Deleted: 3563
% 266.15/266.66 Deletedinuse: 13
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1451552
% 266.15/266.66 Kept: 250802
% 266.15/266.66 Inuse: 2483
% 266.15/266.66 Deleted: 3563
% 266.15/266.66 Deletedinuse: 13
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1465756
% 266.15/266.66 Kept: 253011
% 266.15/266.66 Inuse: 2488
% 266.15/266.66 Deleted: 3563
% 266.15/266.66 Deletedinuse: 13
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1479226
% 266.15/266.66 Kept: 255203
% 266.15/266.66 Inuse: 2508
% 266.15/266.66 Deleted: 3563
% 266.15/266.66 Deletedinuse: 13
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1513511
% 266.15/266.66 Kept: 258169
% 266.15/266.66 Inuse: 2523
% 266.15/266.66 Deleted: 3563
% 266.15/266.66 Deletedinuse: 13
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1529759
% 266.15/266.66 Kept: 260625
% 266.15/266.66 Inuse: 2533
% 266.15/266.66 Deleted: 3564
% 266.15/266.66 Deletedinuse: 14
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1568509
% 266.15/266.66 Kept: 262668
% 266.15/266.66 Inuse: 2568
% 266.15/266.66 Deleted: 3566
% 266.15/266.66 Deletedinuse: 16
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1580370
% 266.15/266.66 Kept: 265033
% 266.15/266.66 Inuse: 2583
% 266.15/266.66 Deleted: 3566
% 266.15/266.66 Deletedinuse: 16
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying clauses:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66 Resimplifying inuse:
% 266.15/266.66 Done
% 266.15/266.66
% 266.15/266.66
% 266.15/266.66 Intermediate Status:
% 266.15/266.66 Generated: 1591684
% 266.15/266.66 Kept: 267080
% 266.15/266.66 Inuse: 2597
% 266.15/266.66 Deleted: 3739
% 266.15/266.66 Deletedinuse: 16
% 266.15/266.66
% 266.15/266.66 ResimpliCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------