TSTP Solution File: ALG432-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG432-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 12:10:55 EDT 2022
% Result : Timeout 300.06s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG432-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n023.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 02:58:23 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 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 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.39 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.00/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.39 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), 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,
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.00/1.39 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.39 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.39 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.39 Y, X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.39 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.39 Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.39 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.00/1.39 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.00/1.39 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.39 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.39 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.39 T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( '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_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.39 T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.39 X ), T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.39 T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.39 X ), T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.39 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 1.00/1.39 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 1.00/1.39 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.39 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ), T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.39 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.39 X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.39 Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.00/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.39 Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.00/1.39 X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.39 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 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_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.00/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.39 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.00/1.39 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, 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_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.00/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.39 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.00/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.39 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.39 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.39 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.39 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, 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_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 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_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
% 1.00/1.39 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.00/1.39 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.39 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.00/1.39 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.39 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 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'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.00/1.39 X ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.39 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.39 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.39 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.39 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.39 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 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'( Y,
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.39 X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.39 , Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.39 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.00/1.39 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 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'( T, Z, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 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, Y, X ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.39 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.39 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.39 ), =( Z, Y ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 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 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.39 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.39 Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.39 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.39 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.00/1.39 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.00/1.39 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.39 , X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.00/1.39 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.00/1.39 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.39 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.00/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.00/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.39 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.39 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.39 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 Y, X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.39 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 1.00/1.39 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.39 , X ), X ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.00/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.00/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.39 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.39 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.39 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.39 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.39 X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.39 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.39 X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.39 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.39 X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.39 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.39 X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 Y, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.00/1.39 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.00/1.39 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.39 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.00/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.39 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.39 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.39 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.39 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.39 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.39 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 Y, T, X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.39 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 Y, T, X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.39 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 1.00/1.39 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.00/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.00/1.39 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.39 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 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_Oplus__class_Oplus'( Z,
% 1.00/1.39 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.39 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.39 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.39 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.00/1.39 X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( 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_Divides_Odiv__class_Odiv'( Y, T
% 1.00/1.39 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 1.00/1.39 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__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'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__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_Ouminus__class_Ouminus'( Y
% 1.00/1.39 , X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.39 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.00/1.39 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.39 'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, 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 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.39 , T, X ), X ), T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.39 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.39 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Y, 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, Z, X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.00/1.39 X ) ) ), =( Z, T ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.00/1.39 X ) ) ), =( Z, T ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.39 X ) ) ), =( Y, T ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.00/1.39 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.00/1.39 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.39 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.39 X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.39 X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.00/1.39 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.00/1.39 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.00/1.39 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.00/1.39 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.00/1.39 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, 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 ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, 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 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.00/1.39 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.39 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.39 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Osgn__class_Osgn'( Y, 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__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.39 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.39 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.39 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 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'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.39 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 1.00/1.39 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.39 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( 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'( Y, T, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.39 , T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.39 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( 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'( Y, 'c_Divides_Odiv__class_Omod'( 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_Divides_Osemiring__div'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.39 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.39 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.39 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.39 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.39 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.00/1.39 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.00/1.39 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 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_Otimes__class_Otimes'(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.39 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 1.00/1.39 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 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 , Y, X ), 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'( Y
% 1.00/1.39 , Z, X ), X ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.00/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.39 , Z, X ), X ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.00/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.00/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.39 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, 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 ), Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), 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'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 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'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.00/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.00/1.39 ), Y ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.39 ), X ), Y ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.39 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( 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 ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.39 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.39 Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.39 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( 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 ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.39 , Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.39 , Y, 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 ), T, X
% 1.00/1.39 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.39 , T, X ), X ), T, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.39 X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.39 X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.39 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.39 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.39 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.39 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.39 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.39 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.39 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.39 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 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 ), T, X
% 1.00/1.39 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, 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 ), T, X
% 1.00/1.39 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.39 , T, X ) ) ), =( Z, T ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , T, X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.00/1.39 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.00/1.39 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.00/1.39 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.00/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 1.00/1.39 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 1.00/1.39 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.00/1.39 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.00/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.39 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, 'c_Suc'( Z
% 1.00/1.39 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, 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 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, 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_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 1.00/1.39 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 1.00/1.39 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.39 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.00/1.39 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.39 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.39 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 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_Osemiring__0'( X ) ), ~(
% 1.00/1.39 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.39 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.00/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.39 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.39 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.00/1.39 , X ), '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_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.39 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.39 '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_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 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( 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 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_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 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 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 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, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.40 X ) ) ],
% 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_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_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_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 [ ~( =( '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 '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 [ ~( '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_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, 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 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.00/1.40 , X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.40 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.40 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.40 Y, X ), X ) ), =( 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'( 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__idom'( X ) ), =(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 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_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 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 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 1.00/1.40 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 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_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 [ ~( 'class_Ring__and__Field_Oordered__idom'( 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_Oabs__class_Oabs'( Y, X ),
% 1.00/1.40 Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.40 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( 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_Oabs__class_Oabs'( Z, X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.00/1.40 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 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_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_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 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_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 [ ~( '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 [ ~( '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_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.40 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.00/1.40 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, 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'( 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__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.00/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( T, Y, X ), 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_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, 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_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.00/1.40 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( '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__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_Oinverse'( Y, 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__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_Oinverse'( Y, 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__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 ),
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, 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 [ ~( '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_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.40 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.40 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.40 , X ), X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.40 , X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.40 , X ), 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_Oordered__idom'( X ) ),
% 1.00/1.40 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 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_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 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 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_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_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_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__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 ), ~(
% 1.00/1.40 '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'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 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 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.40 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 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_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.00/1.40 '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_Omod'( '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_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 1.00/1.40 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, 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'( Y, Z, X ), =( T,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( '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_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 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,
% 1.00/1.40 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 1.00/1.40 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 1.00/1.40 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.00/1.40 ), Y ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.40 , 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_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, 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'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.40 , 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_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40 ), Y ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40 ), Y ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40 ), Y ) ],
% 1.00/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.40 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 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 ), Z, X )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 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'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 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, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 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, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.40 , 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_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( 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_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 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 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.40 , Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 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 [ ~( '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_Oinverse'( 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'( 'c_HOL_Oinverse__class_Oinverse'( 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_Oinverse'( 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_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_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 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__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_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_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.40 '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'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, 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_Odivision__ring'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.40 'c_HOL_Oone__class_Oone'( 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_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_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_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 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_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 ) ), ~( =(
% 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_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( 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_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 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.40 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.40 Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 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 ), T
% 1.00/1.40 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, 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 ) ) ), =( T
% 1.00/1.40 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Oorder'(
% 1.00/1.40 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( =(
% 1.00/1.40 'c_Polynomial_Opoly'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( 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'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, 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 ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, 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_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 1.00/1.40 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 '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_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.40 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), '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_Oabs__if'( X ) ), =(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( '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_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( 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 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 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_Otimes__class_Otimes'( Y, Z
% 1.00/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.00/1.40 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), 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_Oinverse__class_Odivide'( Y, Z, 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 ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Y, '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_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'(
% 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 ) ),
% 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 ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 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_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 ),
% 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 ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 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__imp__le'( 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'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Z, T, X ) ) ],
% 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'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Z, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 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_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Y, T, X ) ) ],
% 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, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Y, 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'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), Y, 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 ), Y
% 1.00/1.40 , X ), '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_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.00/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( 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_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.40 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 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_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.00/1.40 , X ), X ), Y ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( 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 ), 'c_HOL_Ozero__class_Ozero'( 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, 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 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , 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'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.40 , 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'(
% 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'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.40 , 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, 'c_HOL_Ozero__class_Ozero'( 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_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , Y, 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_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.40 , X ), X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Opordered__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_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_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.40 Y, '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'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.40 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( Z, 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 ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 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 ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 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'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, 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, 'c_HOL_Ouminus__class_Ouminus'( Y, 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_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'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.00/1.40 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( 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 ,
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( 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 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 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'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 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_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 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_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 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_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 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_Ring__and__Field_Odvd__class_Odvd'( Y, '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_Omod'( Y, Y, X ), '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_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.40 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.00/1.40 , 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_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_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.40 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 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_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.00/1.40 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 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, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 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_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 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_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 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_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.00/1.40 ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 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_Ominus__class_Ominus'( Y, Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.40 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.40 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 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_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 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_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( 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_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.00/1.40 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( 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_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ), =( Y, Z ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40 ) ), =( Y, Z ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.40 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 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'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 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'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.40 , 'c_HOL_Ozero__class_Ozero'( 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_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.00/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( 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'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.40 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40 ), X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 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_Ozero__class_Ozero'( 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_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( 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_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.40 ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y, 'c_Suc'( Z )
% 1.00/1.40 , X ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.40 'c_Polynomial_Omonom'( Y, Z, 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 ), Y, X ),
% 1.00/1.40 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 1.00/1.40 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.00/1.40 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ),
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.00/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.00/1.40 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 't_a' ),
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 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_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 1.00/1.40 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.40 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 1.00/1.40 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 1.00/1.40 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.40 'c_Polynomial_Opoly'( Z, T, X ), X ), 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_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 [ ~( =(
% 1.00/1.40 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 1.00/1.40 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 1.00/1.40 'c_Polynomial_Opoly'( X,
% 1.00/1.40 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 1.00/1.40 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.40 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ) ) ],
% 1.00/1.40 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.40 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 1.00/1.40 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.40 [ =( 'c_Polynomial_Opoly'( X,
% 1.00/1.40 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 1.00/1.40 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ), =( X, 'c_Polynomial_OpCons'(
% 1.00/1.40 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 1.00/1.40 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.40 [ =( X, 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 1.00/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 1.00/1.40 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 1.00/1.40 ), X, 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 '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_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.40 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 1.00/1.40 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'(
% 1.00/1.40 X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( 'c_Polynomial_Opoly'( X
% 1.00/1.40 , Y, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( Y,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 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 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.40 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 1.00/1.40 ) ), X, 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.40 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 1.00/1.40 , Y, 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 1.00/1.40 ) ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.40 [ =( X, 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 1.00/1.40 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.40 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 1.00/1.40 ) ), 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 1.00/1.40 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.40 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 1.00/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.40 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 1.00/1.40 [ =( 'c_Polynomial_Opoly'( 'v_p', 'v_x', 'tc_Complex_Ocomplex' ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.40 [ ~( =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), 'v_p',
% 1.00/1.40 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 1.00/1.40 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 1.00/1.40 ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 1.00/1.40 ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.00/1.40 ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.00/1.40 ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.00/1.40 ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.00/1.40 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.00/1.40 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.00/1.40 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 1.00/1.40 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 1.00/1.40 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.00/1.40 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.00/1.40 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.00/1.40 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.00/1.40 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.00/1.40 ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.00/1.40 ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.00/1.40 ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.00/1.40 ],
% 1.00/1.40 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.00/1.40 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.00/1.40 ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.00/1.40 ],
% 1.00/1.40 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.00/1.40 ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.00/1.40 ],
% 1.00/1.40 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.00/1.40 ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_HOL_Oeq'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.00/1.40 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 1.00/1.40 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.00/1.40 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.00/1.40 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 1.00/1.40 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 1.00/1.40 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 1.00/1.40 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 1.00/1.40 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 1.00/1.40 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 1.00/1.40 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.40 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.40 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.40 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.40 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.00/1.40 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.40 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.40 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.40 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.40 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 1.00/1.40 X ) ) ],
% 1.00/1.40 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 1.00/1.40 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 1.00/1.40 ] .
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 percentage equality = 0.280961, percentage horn = 0.886598
% 1.00/1.40 This is a problem with some equality
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 Options Used:
% 1.00/1.40
% 1.00/1.40 useres = 1
% 1.00/1.40 useparamod = 1
% 1.00/1.40 useeqrefl = 1
% 1.00/1.40 useeqfact = 1
% 1.00/1.40 usefactor = 1
% 1.00/1.40 usesimpsplitting = 0
% 1.00/1.40 usesimpdemod = 5
% 1.00/1.40 usesimpres = 3
% 1.00/1.40
% 1.00/1.40 resimpinuse = 1000
% 1.00/1.40 resimpclauses = 20000
% 1.00/1.40 substype = eqrewr
% 1.00/1.40 backwardsubs = 1
% 1.00/1.40 selectoldest = 5
% 1.00/1.40
% 1.00/1.40 litorderings [0] = split
% 1.00/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.40
% 1.00/1.40 termordering = kbo
% 1.00/1.40
% 1.00/1.40 litapriori = 0
% 1.00/1.40 termapriori = 1
% 1.00/1.40 litaposteriori = 0
% 1.00/1.40 termaposteriori = 0
% 1.00/1.40 demodaposteriori = 0
% 1.00/1.40 ordereqreflfact = 0
% 1.00/1.40
% 1.00/1.40 litselect = negord
% 1.00/1.40
% 1.00/1.40 maxweight = 15
% 1.00/1.40 maxdepth = 30000
% 1.00/1.40 maxlength = 115
% 1.00/1.40 maxnrvars = 195
% 1.00/1.40 excuselevel = 1
% 1.00/1.40 increasemaxweight = 1
% 1.00/1.40
% 1.00/1.40 maxselected = 10000000
% 1.00/1.40 maxnrclauses = 10000000
% 1.00/1.40
% 1.00/1.40 showgenerated = 0
% 1.00/1.40 showkept = 0
% 1.00/1.40 showselected = 0
% 1.00/1.40 showdeleted = 0
% 1.00/1.40 showresimp = 1
% 1.00/1.40 showstatus = 2000
% 1.00/1.40
% 1.00/1.40 prologoutput = 1
% 1.00/1.40 nrgoals = 5000000
% 1.00/1.40 totalproof = 1
% 1.00/1.40
% 1.00/1.40 Symbols occurring in the translation:
% 1.00/1.40
% 1.00/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.40 . [1, 2] (w:1, o:138, a:1, s:1, b:0),
% 1.00/1.40 ! [4, 1] (w:0, o:51, a:1, s:1, b:0),
% 1.00/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.40 'class_Ring__and__Field_Odivision__ring' [40, 1] (w:1, o:61, a:1, s:1
% 1.00/1.40 , b:0),
% 1.00/1.40 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:62, a:1
% 1.00/1.40 , s:1, b:0),
% 1.00/1.40 'c_HOL_Oinverse__class_Oinverse' [43, 2] (w:1, o:163, a:1, s:1, b:0)
% 1.00/1.40 ,
% 1.00/1.40 'class_OrderedGroup_Opordered__ab__group__add' [45, 1] (w:1, o:64, a:
% 1.00/1.40 1, s:1, b:0),
% 1.00/1.40 'c_HOL_Ominus__class_Ominus' [48, 3] (w:1, o:173, a:1, s:1, b:0),
% 1.00/1.40 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:174, a:1, s:1, b:0),
% 1.00/1.40 'class_Ring__and__Field_Ocomm__semiring__1' [52, 1] (w:1, o:59, a:1
% 1.00/1.40 , s:1, b:0),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes' [53, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.00/1.40 'c_Power_Opower__class_Opower' [55, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.00/1.40 'class_OrderedGroup_Ocomm__monoid__mult' [56, 1] (w:1, o:65, a:1, s:1
% 1.00/1.40 , b:0),
% 1.00/1.40 'class_Divides_Osemiring__div' [58, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.00/1.40 'c_Divides_Odiv__class_Omod' [60, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus' [61, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.00/1.40 'class_Ring__and__Field_Odvd' [62, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.00/1.40 'class_Ring__and__Field_Ocomm__ring' [63, 1] (w:1, o:56, a:1, s:1, b:
% 1.00/1.40 0),
% 1.00/1.40 'c_Ring__and__Field_Odvd__class_Odvd' [68, 3] (w:1, o:179, a:1, s:1
% 1.00/1.40 , b:0),
% 1.00/1.40 'c_Divides_Odiv__class_Odiv' [69, 3] (w:1, o:180, a:1, s:1, b:0),
% 1.00/1.40 'c_HOL_Ouminus__class_Ouminus' [70, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.00/1.40 'class_Ring__and__Field_Ofield' [71, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.00/1.40 'c_HOL_Oinverse__class_Odivide' [72, 3] (w:1, o:181, a:1, s:1, b:0),
% 1.00/1.40
% 1.00/1.40 'c_HOL_Oone__class_Oone' [73, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.00/1.40 'c_HOL_Ozero__class_Ozero' [74, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.00/1.40 'class_Int_Onumber__ring' [75, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.00/1.40 'class_Divides_Oring__div' [76, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.00/1.40 'class_OrderedGroup_Oab__semigroup__mult' [77, 1] (w:1, o:75, a:1, s:
% 1.00/1.40 1, b:0),
% 1.00/1.40 'class_RealVector_Oreal__normed__algebra' [83, 1] (w:1, o:76, a:1, s:
% 1.00/1.40 1, b:0),
% 1.00/1.40 'class_Ring__and__Field_Ocomm__semiring' [88, 1] (w:1, o:60, a:1, s:1
% 1.00/1.40 , b:0),
% 1.00/1.40 'class_OrderedGroup_Olordered__ab__group__add' [89, 1] (w:1, o:77, a:
% 1.00/1.40 1, s:1, b:0),
% 1.00/1.40 'class_Lattices_Oupper__semilattice' [90, 1] (w:1, o:78, a:1, s:1, b:
% 1.00/1.40 0),
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup' [91, 3] (w:1, o:182, a:1
% 1.00/1.40 , s:1, b:0),
% 1.00/1.40 'class_HOL_Ozero' [92, 1] (w:1, o:72, a:1, s:1, b:0),
% 1.00/1.40 'tc_nat' [93, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.00/1.40 'c_Polynomial_Omonom' [94, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.00/1.40 'tc_Polynomial_Opoly' [95, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.00/1.40 'c_Polynomial_OpCons' [96, 3] (w:1, o:185, a:1, s:1, b:0),
% 1.00/1.40 'class_OrderedGroup_Oab__semigroup__idem__mult' [97, 1] (w:1, o:80
% 1.00/1.40 , a:1, s:1, b:0),
% 1.00/1.40 'class_Ring__and__Field_Oordered__field' [98, 1] (w:1, o:83, a:1, s:1
% 1.00/1.40 , b:0),
% 1.00/1.40 'class_Ring__and__Field_Ocomm__semiring__0' [99, 1] (w:1, o:58, a:1
% 1.00/1.40 , s:1, b:0),
% 1.00/1.40 'c_Polynomial_Osmult' [101, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.00/1.40 'class_Ring__and__Field_Oordered__idom' [102, 1] (w:1, o:84, a:1, s:1
% 1.00/1.40 , b:0),
% 1.00/1.40 'c_Polynomial_Opos__poly' [103, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.00/1.40 'c_Suc' [104, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.00/1.40 'class_Ring__and__Field_Oordered__ring__strict' [105, 1] (w:1, o:86
% 2.31/2.67 , a:1, s:1, b:0),
% 2.31/2.67 'class_Ring__and__Field_Oidom' [106, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.31/2.67 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [108, 2] (w:1
% 2.31/2.67 , o:165, a:1, s:1, b:0),
% 2.31/2.67 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [109, 2] (w:1
% 2.31/2.67 , o:166, a:1, s:1, b:0),
% 2.31/2.67 'class_Orderings_Olinorder' [110, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.31/2.67 'class_Ring__and__Field_Oordered__semidom' [111, 1] (w:1, o:89, a:1
% 2.31/2.67 , s:1, b:0),
% 2.31/2.67 'class_RealVector_Oreal__normed__field' [112, 1] (w:1, o:90, a:1, s:1
% 2.31/2.67 , b:0),
% 2.31/2.67 'class_HOL_Oeq' [114, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.31/2.67 'c_HOL_Oeq__class_Oeq' [115, 3] (w:1, o:187, a:1, s:1, b:0),
% 2.31/2.67 'class_Lattices_Odistrib__lattice' [116, 1] (w:1, o:91, a:1, s:1, b:0
% 2.31/2.67 ),
% 2.31/2.67 'c_Lattices_Olower__semilattice__class_Oinf' [117, 3] (w:1, o:188, a:
% 2.31/2.67 1, s:1, b:0),
% 2.31/2.67 'class_OrderedGroup_Ogroup__add' [118, 1] (w:1, o:92, a:1, s:1, b:0)
% 2.31/2.67 ,
% 2.31/2.67 'class_Ring__and__Field_Oordered__semiring__strict' [119, 1] (w:1, o:
% 2.31/2.67 93, a:1, s:1, b:0),
% 2.31/2.67 'c_HOL_Oabs__class_Oabs' [120, 2] (w:1, o:168, a:1, s:1, b:0),
% 2.31/2.67 'class_Ring__and__Field_Osemiring__0' [121, 1] (w:1, o:98, a:1, s:1
% 2.31/2.67 , b:0),
% 2.31/2.67 'class_Power_Opower' [122, 1] (w:1, o:116, a:1, s:1, b:0),
% 2.31/2.67 'class_Ring__and__Field_Ozero__neq__one' [123, 1] (w:1, o:117, a:1
% 2.31/2.67 , s:1, b:0),
% 2.31/2.67 'class_Ring__and__Field_Ono__zero__divisors' [124, 1] (w:1, o:82, a:1
% 2.31/2.67 , s:1, b:0),
% 2.31/2.67 'class_Ring__and__Field_Omult__zero' [125, 1] (w:1, o:81, a:1, s:1
% 2.31/2.67 , b:0),
% 2.31/2.67 'class_Ring__and__Field_Oring' [127, 1] (w:1, o:94, a:1, s:1, b:0),
% 2.31/2.67 'class_RealVector_Oreal__normed__vector' [128, 1] (w:1, o:118, a:1
% 2.31/2.67 , s:1, b:0),
% 2.31/2.67 'c_HOL_Osgn__class_Osgn' [129, 2] (w:1, o:169, a:1, s:1, b:0),
% 2.31/2.67 'class_RealVector_Oreal__vector' [130, 1] (w:1, o:119, a:1, s:1, b:0)
% 2.31/2.67 ,
% 2.31/2.67 'c_RealVector_OscaleR__class_OscaleR' [131, 3] (w:1, o:189, a:1, s:1
% 2.31/2.67 , b:0),
% 2.31/2.67 'class_Lattices_Olower__semilattice' [132, 1] (w:1, o:120, a:1, s:1
% 2.31/2.67 , b:0),
% 2.31/2.67 'class_Lattices_Olattice' [133, 1] (w:1, o:121, a:1, s:1, b:0),
% 2.31/2.67 'class_Lattices_Oboolean__algebra' [134, 1] (w:1, o:122, a:1, s:1, b:
% 2.31/2.67 0),
% 2.31/2.67 'class_OrderedGroup_Olordered__ab__group__add__abs' [135, 1] (w:1, o:
% 2.31/2.67 99, a:1, s:1, b:0),
% 2.31/2.67 'class_Ring__and__Field_Osgn__if' [136, 1] (w:1, o:123, a:1, s:1, b:0
% 2.31/2.67 ),
% 2.31/2.67 'class_OrderedGroup_Opordered__ab__group__add__abs' [137, 1] (w:1, o:
% 2.31/2.67 100, a:1, s:1, b:0),
% 2.31/2.67 'class_OrderedGroup_Oab__group__add' [139, 1] (w:1, o:101, a:1, s:1
% 2.31/2.67 , b:0),
% 2.31/2.67 'class_Ring__and__Field_Ocomm__ring__1' [140, 1] (w:1, o:57, a:1, s:1
% 2.31/2.67 , b:0),
% 2.31/2.67 'class_OrderedGroup_Ocomm__monoid__add' [141, 1] (w:1, o:102, a:1, s:
% 2.31/2.67 1, b:0),
% 2.31/2.67 'class_OrderedGroup_Ocancel__ab__semigroup__add' [142, 1] (w:1, o:103
% 2.31/2.67 , a:1, s:1, b:0),
% 2.31/2.67 'class_OrderedGroup_Ocancel__semigroup__add' [143, 1] (w:1, o:104, a:
% 2.31/2.67 1, s:1, b:0),
% 2.31/2.67 'class_OrderedGroup_Olordered__ab__group__add__meet' [144, 1] (w:1
% 2.31/2.67 , o:105, a:1, s:1, b:0),
% 2.31/2.67 'class_RealVector_Oreal__algebra' [145, 1] (w:1, o:124, a:1, s:1, b:0
% 2.31/2.67 ),
% 2.31/2.67 'class_Ring__and__Field_Oabs__if' [146, 1] (w:1, o:125, a:1, s:1, b:0
% 2.31/2.67 ),
% 2.31/2.67 'class_SEQ_Obanach' [149, 1] (w:1, o:133, a:1, s:1, b:0),
% 2.31/2.67 'c_Transcendental_Oexp' [150, 2] (w:1, o:170, a:1, s:1, b:0),
% 2.31/2.67 'class_OrderedGroup_Omonoid__mult' [151, 1] (w:1, o:107, a:1, s:1, b:
% 2.31/2.67 0),
% 2.31/2.67 'c_Polynomial_Opcompose' [152, 3] (w:1, o:190, a:1, s:1, b:0),
% 2.31/2.67 'class_OrderedGroup_Olordered__ab__group__add__join' [153, 1] (w:1
% 2.31/2.67 , o:106, a:1, s:1, b:0),
% 2.31/2.67 'class_Orderings_Oorder' [154, 1] (w:1, o:108, a:1, s:1, b:0),
% 2.31/2.67 'class_Orderings_Opreorder' [155, 1] (w:1, o:109, a:1, s:1, b:0),
% 2.31/2.67 'class_OrderedGroup_Oab__semigroup__add' [156, 1] (w:1, o:110, a:1
% 2.31/2.67 , s:1, b:0),
% 2.31/2.67 'class_RealVector_Oreal__field' [158, 1] (w:1, o:126, a:1, s:1, b:0)
% 2.31/2.67 ,
% 2.31/2.67 'c_Polynomial_Opoly' [159, 3] (w:1, o:191, a:1, s:1, b:0),
% 2.31/2.67 'c_Complex_Ocnj' [160, 1] (w:1, o:134, a:1, s:1, b:0),
% 2.31/2.67 'c_Complex_Oii' [162, 0] (w:1, o:43, a:1, s:1, b:0),
% 2.31/2.67 'tc_Complex_Ocomplex' [163, 0] (w:1, o:44, a:1, s:1, b:0),
% 16.39/16.77 'class_Ring__and__Field_Oring__1' [164, 1] (w:1, o:95, a:1, s:1, b:0)
% 16.39/16.77 ,
% 16.39/16.77 'class_Ring__and__Field_Opordered__ring' [166, 1] (w:1, o:128, a:1
% 16.39/16.77 , s:1, b:0),
% 16.39/16.77 'class_Ring__and__Field_Osemiring' [167, 1] (w:1, o:129, a:1, s:1, b:
% 16.39/16.77 0),
% 16.39/16.77 'class_OrderedGroup_Opordered__comm__monoid__add' [168, 1] (w:1, o:
% 16.39/16.77 111, a:1, s:1, b:0),
% 16.39/16.77 'class_RealVector_Oreal__normed__algebra__1' [169, 1] (w:1, o:130, a:
% 16.39/16.77 1, s:1, b:0),
% 16.39/16.77 'class_Ring__and__Field_Oordered__comm__semiring__strict' [170, 1]
% 16.39/16.77 (w:1, o:127, a:1, s:1, b:0),
% 16.39/16.77 'c_Polynomial_Osynthetic__div' [171, 3] (w:1, o:192, a:1, s:1, b:0),
% 16.39/16.77
% 16.39/16.77 'c_Fun_Oid' [172, 2] (w:1, o:171, a:1, s:1, b:0),
% 16.39/16.77 'class_Ring__and__Field_Osemiring__1' [173, 1] (w:1, o:131, a:1, s:1
% 16.39/16.77 , b:0),
% 16.39/16.77 'c_Int_Oiszero' [174, 2] (w:1, o:172, a:1, s:1, b:0),
% 16.39/16.77 'class_OrderedGroup_Oordered__ab__group__add' [175, 1] (w:1, o:63, a:
% 16.39/16.77 1, s:1, b:0),
% 16.39/16.77 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [176, 1]
% 16.39/16.77 (w:1, o:112, a:1, s:1, b:0),
% 16.39/16.78 'c_Polynomial_Oorder' [177, 3] (w:1, o:184, a:1, s:1, b:0),
% 16.39/16.78 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [178, 1]
% 16.39/16.78 (w:1, o:113, a:1, s:1, b:0),
% 16.39/16.78 'class_RealVector_Oreal__normed__div__algebra' [179, 1] (w:1, o:132
% 16.39/16.78 , a:1, s:1, b:0),
% 16.39/16.78 'class_Ring__and__Field_Oring__no__zero__divisors' [181, 1] (w:1, o:
% 16.39/16.78 96, a:1, s:1, b:0),
% 16.39/16.78 'class_Ring__and__Field_Oring__1__no__zero__divisors' [182, 1] (w:1
% 16.39/16.78 , o:97, a:1, s:1, b:0),
% 16.39/16.78 'class_OrderedGroup_Omonoid__add' [183, 1] (w:1, o:114, a:1, s:1, b:0
% 16.39/16.78 ),
% 16.39/16.78 't_a' [184, 0] (w:1, o:46, a:1, s:1, b:0),
% 16.39/16.78 'v_x' [185, 0] (w:1, o:47, a:1, s:1, b:0),
% 16.39/16.78
% 16.39/16.78 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'
% 16.39/16.78 [186, 1] (w:1, o:135, a:1, s:1, b:0),
% 16.39/16.78
% 16.39/16.78 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'
% 16.39/16.78 [187, 1] (w:1, o:136, a:1, s:1, b:0),
% 16.39/16.78
% 16.39/16.78 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'
% 16.39/16.78 [188, 1] (w:1, o:137, a:1, s:1, b:0),
% 16.39/16.78 'v_p' [189, 0] (w:1, o:48, a:1, s:1, b:0),
% 16.39/16.78 'class_OrderedGroup_Ocancel__comm__monoid__add' [191, 1] (w:1, o:115
% 16.39/16.78 , a:1, s:1, b:0),
% 16.39/16.78 'tc_RealDef_Oreal' [192, 0] (w:1, o:50, a:1, s:1, b:0).
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Starting Search:
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 3854
% 16.39/16.78 Kept: 2018
% 16.39/16.78 Inuse: 166
% 16.39/16.78 Deleted: 0
% 16.39/16.78 Deletedinuse: 0
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 10607
% 16.39/16.78 Kept: 4410
% 16.39/16.78 Inuse: 231
% 16.39/16.78 Deleted: 0
% 16.39/16.78 Deletedinuse: 0
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 18639
% 16.39/16.78 Kept: 6421
% 16.39/16.78 Inuse: 301
% 16.39/16.78 Deleted: 0
% 16.39/16.78 Deletedinuse: 0
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 25743
% 16.39/16.78 Kept: 8424
% 16.39/16.78 Inuse: 373
% 16.39/16.78 Deleted: 0
% 16.39/16.78 Deletedinuse: 0
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 34058
% 16.39/16.78 Kept: 10804
% 16.39/16.78 Inuse: 465
% 16.39/16.78 Deleted: 1
% 16.39/16.78 Deletedinuse: 0
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 41157
% 16.39/16.78 Kept: 12816
% 16.39/16.78 Inuse: 485
% 16.39/16.78 Deleted: 1
% 16.39/16.78 Deletedinuse: 0
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 48652
% 16.39/16.78 Kept: 14816
% 16.39/16.78 Inuse: 514
% 16.39/16.78 Deleted: 1
% 16.39/16.78 Deletedinuse: 0
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 55238
% 16.39/16.78 Kept: 16825
% 16.39/16.78 Inuse: 526
% 16.39/16.78 Deleted: 1
% 16.39/16.78 Deletedinuse: 0
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 66858
% 16.39/16.78 Kept: 18832
% 16.39/16.78 Inuse: 597
% 16.39/16.78 Deleted: 3
% 16.39/16.78 Deletedinuse: 0
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78 Resimplifying clauses:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 79186
% 16.39/16.78 Kept: 21140
% 16.39/16.78 Inuse: 626
% 16.39/16.78 Deleted: 95
% 16.39/16.78 Deletedinuse: 0
% 16.39/16.78
% 16.39/16.78 Resimplifying inuse:
% 16.39/16.78 Done
% 16.39/16.78
% 16.39/16.78
% 16.39/16.78 Intermediate Status:
% 16.39/16.78 Generated: 93218
% 16.39/16.78 Kept: 23148
% 16.39/16.78 Inuse: 664
% 16.39/16.78 Deleted: 95
% 16.39/16.78 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 104360
% 65.41/65.77 Kept: 25749
% 65.41/65.77 Inuse: 686
% 65.41/65.77 Deleted: 95
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 115360
% 65.41/65.77 Kept: 27928
% 65.41/65.77 Inuse: 716
% 65.41/65.77 Deleted: 95
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 126270
% 65.41/65.77 Kept: 30063
% 65.41/65.77 Inuse: 761
% 65.41/65.77 Deleted: 95
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 152718
% 65.41/65.77 Kept: 33322
% 65.41/65.77 Inuse: 816
% 65.41/65.77 Deleted: 95
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 182192
% 65.41/65.77 Kept: 36662
% 65.41/65.77 Inuse: 851
% 65.41/65.77 Deleted: 95
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 194446
% 65.41/65.77 Kept: 38821
% 65.41/65.77 Inuse: 911
% 65.41/65.77 Deleted: 95
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 215086
% 65.41/65.77 Kept: 41591
% 65.41/65.77 Inuse: 941
% 65.41/65.77 Deleted: 95
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying clauses:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 231805
% 65.41/65.77 Kept: 44099
% 65.41/65.77 Inuse: 951
% 65.41/65.77 Deleted: 270
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 253120
% 65.41/65.77 Kept: 46166
% 65.41/65.77 Inuse: 976
% 65.41/65.77 Deleted: 270
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 267867
% 65.41/65.77 Kept: 48238
% 65.41/65.77 Inuse: 1036
% 65.41/65.77 Deleted: 270
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 286690
% 65.41/65.77 Kept: 50278
% 65.41/65.77 Inuse: 1076
% 65.41/65.77 Deleted: 270
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 308322
% 65.41/65.77 Kept: 52533
% 65.41/65.77 Inuse: 1086
% 65.41/65.77 Deleted: 270
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 334163
% 65.41/65.77 Kept: 54610
% 65.41/65.77 Inuse: 1156
% 65.41/65.77 Deleted: 270
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 353840
% 65.41/65.77 Kept: 58614
% 65.41/65.77 Inuse: 1182
% 65.41/65.77 Deleted: 270
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 368696
% 65.41/65.77 Kept: 60649
% 65.41/65.77 Inuse: 1226
% 65.41/65.77 Deleted: 270
% 65.41/65.77 Deletedinuse: 0
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying clauses:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 384472
% 65.41/65.77 Kept: 62708
% 65.41/65.77 Inuse: 1286
% 65.41/65.77 Deleted: 485
% 65.41/65.77 Deletedinuse: 2
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 399179
% 65.41/65.77 Kept: 64925
% 65.41/65.77 Inuse: 1321
% 65.41/65.77 Deleted: 486
% 65.41/65.77 Deletedinuse: 3
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 415191
% 65.41/65.77 Kept: 67679
% 65.41/65.77 Inuse: 1361
% 65.41/65.77 Deleted: 486
% 65.41/65.77 Deletedinuse: 3
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 438005
% 65.41/65.77 Kept: 70600
% 65.41/65.77 Inuse: 1406
% 65.41/65.77 Deleted: 487
% 65.41/65.77 Deletedinuse: 4
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 469209
% 65.41/65.77 Kept: 74067
% 65.41/65.77 Inuse: 1426
% 65.41/65.77 Deleted: 487
% 65.41/65.77 Deletedinuse: 4
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 488672
% 65.41/65.77 Kept: 76768
% 65.41/65.77 Inuse: 1441
% 65.41/65.77 Deleted: 487
% 65.41/65.77 Deletedinuse: 4
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 498621
% 65.41/65.77 Kept: 78935
% 65.41/65.77 Inuse: 1471
% 65.41/65.77 Deleted: 487
% 65.41/65.77 Deletedinuse: 4
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 517522
% 65.41/65.77 Kept: 81931
% 65.41/65.77 Inuse: 1496
% 65.41/65.77 Deleted: 487
% 65.41/65.77 Deletedinuse: 4
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying clauses:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 531881
% 65.41/65.77 Kept: 85079
% 65.41/65.77 Inuse: 1521
% 65.41/65.77 Deleted: 732
% 65.41/65.77 Deletedinuse: 4
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77 Resimplifying inuse:
% 65.41/65.77 Done
% 65.41/65.77
% 65.41/65.77
% 65.41/65.77 Intermediate Status:
% 65.41/65.77 Generated: 546822
% 65.41/65.77 Kept: 87541
% 220.57/220.95 Inuse: 1546
% 220.57/220.95 Deleted: 732
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 554540
% 220.57/220.95 Kept: 89877
% 220.57/220.95 Inuse: 1551
% 220.57/220.95 Deleted: 732
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 578962
% 220.57/220.95 Kept: 93054
% 220.57/220.95 Inuse: 1606
% 220.57/220.95 Deleted: 732
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 592085
% 220.57/220.95 Kept: 95366
% 220.57/220.95 Inuse: 1621
% 220.57/220.95 Deleted: 732
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 601165
% 220.57/220.95 Kept: 97570
% 220.57/220.95 Inuse: 1641
% 220.57/220.95 Deleted: 732
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 625917
% 220.57/220.95 Kept: 103823
% 220.57/220.95 Inuse: 1661
% 220.57/220.95 Deleted: 732
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying clauses:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 634376
% 220.57/220.95 Kept: 106382
% 220.57/220.95 Inuse: 1681
% 220.57/220.95 Deleted: 920
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 650583
% 220.57/220.95 Kept: 109755
% 220.57/220.95 Inuse: 1706
% 220.57/220.95 Deleted: 920
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 660134
% 220.57/220.95 Kept: 111807
% 220.57/220.95 Inuse: 1716
% 220.57/220.95 Deleted: 920
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 708546
% 220.57/220.95 Kept: 115513
% 220.57/220.95 Inuse: 1731
% 220.57/220.95 Deleted: 920
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 728643
% 220.57/220.95 Kept: 118130
% 220.57/220.95 Inuse: 1746
% 220.57/220.95 Deleted: 920
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 763930
% 220.57/220.95 Kept: 121322
% 220.57/220.95 Inuse: 1756
% 220.57/220.95 Deleted: 920
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 777711
% 220.57/220.95 Kept: 123388
% 220.57/220.95 Inuse: 1771
% 220.57/220.95 Deleted: 920
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying clauses:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 789083
% 220.57/220.95 Kept: 125403
% 220.57/220.95 Inuse: 1796
% 220.57/220.95 Deleted: 1043
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 807009
% 220.57/220.95 Kept: 127405
% 220.57/220.95 Inuse: 1847
% 220.57/220.95 Deleted: 1043
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 827990
% 220.57/220.95 Kept: 131071
% 220.57/220.95 Inuse: 1886
% 220.57/220.95 Deleted: 1043
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 839651
% 220.57/220.95 Kept: 133090
% 220.57/220.95 Inuse: 1921
% 220.57/220.95 Deleted: 1043
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 851758
% 220.57/220.95 Kept: 135119
% 220.57/220.95 Inuse: 1931
% 220.57/220.95 Deleted: 1043
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 864613
% 220.57/220.95 Kept: 137127
% 220.57/220.95 Inuse: 1942
% 220.57/220.95 Deleted: 1043
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 879975
% 220.57/220.95 Kept: 139358
% 220.57/220.95 Inuse: 1981
% 220.57/220.95 Deleted: 1043
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 896340
% 220.57/220.95 Kept: 142358
% 220.57/220.95 Inuse: 2001
% 220.57/220.95 Deleted: 1043
% 220.57/220.95 Deletedinuse: 4
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 917324
% 220.57/220.95 Kept: 144672
% 220.57/220.95 Inuse: 2036
% 220.57/220.95 Deleted: 1044
% 220.57/220.95 Deletedinuse: 5
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying clauses:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 925736
% 220.57/220.95 Kept: 146676
% 220.57/220.95 Inuse: 2051
% 220.57/220.95 Deleted: 1586
% 220.57/220.95 Deletedinuse: 5
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 934453
% 220.57/220.95 Kept: 148676
% 220.57/220.95 Inuse: 2069
% 220.57/220.95 Deleted: 1586
% 220.57/220.95 Deletedinuse: 5
% 220.57/220.95
% 220.57/220.95 Resimplifying inuse:
% 220.57/220.95 Done
% 220.57/220.95
% 220.57/220.95
% 220.57/220.95 Intermediate Status:
% 220.57/220.95 Generated: 953437
% 220.57/220.95 Kept: 151842
% 220.57/220.95 Inuse: 2096
% 220.57/220.95 DeleCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------