TSTP Solution File: SWV661-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV661-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 : Wed Jul 20 16:27:34 EDT 2022
% Result : Timeout 300.01s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV661-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.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 : Tue Jun 14 21:11:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.24/1.63 *** allocated 10000 integers for termspace/termends
% 1.24/1.63 *** allocated 10000 integers for clauses
% 1.24/1.63 *** allocated 10000 integers for justifications
% 1.24/1.63 *** allocated 15000 integers for termspace/termends
% 1.24/1.63 *** allocated 22500 integers for termspace/termends
% 1.24/1.63 *** allocated 33750 integers for termspace/termends
% 1.24/1.63 *** allocated 50625 integers for termspace/termends
% 1.24/1.63 Bliksem 1.12
% 1.24/1.63
% 1.24/1.63
% 1.24/1.63 Automatic Strategy Selection
% 1.24/1.63
% 1.24/1.63 Clauses:
% 1.24/1.63 [
% 1.24/1.63 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.24/1.63 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.63 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.24/1.63 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.24/1.63 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.24/1.63 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.24/1.63 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.24/1.63 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.24/1.63 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.24/1.63 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.24/1.63 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.24/1.63 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.24/1.63 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.24/1.63 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.24/1.63 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.24/1.63 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.24/1.63 , V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.24/1.63 T, X, U, W, Y, V0 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.24/1.63 T, X, U, Y, W, V0 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.24/1.63 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.24/1.63 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.24/1.63 , V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.24/1.63 X, T, U, Y, W, V0 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.24/1.63 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.24/1.63 , V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.24/1.63 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.24/1.63 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.24/1.63 , V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.24/1.63 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.24/1.63 W, V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.24/1.63 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.24/1.63 W, V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.24/1.63 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.24/1.63 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.24/1.63 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.24/1.63 W, V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.24/1.63 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.24/1.63 , V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.24/1.63 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.24/1.63 W, V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.24/1.63 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.24/1.63 , V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.24/1.63 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.24/1.63 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.24/1.63 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.24/1.63 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.24/1.63 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.24/1.63 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.24/1.63 T, X, U, W, Z, V0 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.24/1.63 T, X, U, W, Y, V0 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.24/1.63 T, X, U, Z, W, V0 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.24/1.63 T, X, U, Y, W, V0 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.24/1.63 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.24/1.63 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.24/1.63 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.24/1.63 X, T, U, Z, W, V0 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.24/1.63 X, T, U, Y, W, V0 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.24/1.63 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.24/1.63 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.24/1.63 , V0, U, V1 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.24/1.63 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.24/1.63 , V0, U, V1 ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.24/1.63 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.24/1.63 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.24/1.63 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.24/1.63 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.63 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.63 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.63 Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.63 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.63 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.24/1.63 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.24/1.63 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.24/1.63 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.24/1.63 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.24/1.63 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.24/1.63 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.24/1.63 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.24/1.63 Z, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Z, 'tc_nat' ) ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 'tc_nat' ) ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.63 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.63 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.24/1.63 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.24/1.63 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.63 X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.24/1.63 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.24/1.63 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.24/1.63 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.24/1.63 , 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.24/1.63 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.24/1.63 , 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.63 , Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ) ],
% 1.24/1.63 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.63 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.24/1.63 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.24/1.63 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.24/1.63 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.24/1.63 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.24/1.63 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.24/1.63 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), Y ), 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ), Z ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Y ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Y ), T ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Y ), Z ), T, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.24/1.63 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.24/1.63 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.24/1.63 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.24/1.63 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.24/1.63 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ), T, X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.24/1.63 ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.24/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.24/1.63 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.24/1.63 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.24/1.63 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.24/1.63 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.24/1.63 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.24/1.63 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.24/1.63 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.24/1.63 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.24/1.63 Y, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc',
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ),
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.63 'tc_nat' ) ), Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.24/1.63 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.24/1.63 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.24/1.63 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.63 X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), X ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.63 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.24/1.63 ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.24/1.63 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.24/1.63 ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.24/1.63 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.63 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.24/1.63 ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.24/1.63 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.24/1.63 ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.24/1.63 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.24/1.63 ) ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.63 X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.24/1.63 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.24/1.63 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.24/1.63 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.24/1.63 X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.24/1.63 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ), T ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ), 'c_Divides_Odiv__class_Omod'(
% 1.24/1.63 Z, Y, X ) ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.63 X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.63 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.24/1.63 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.24/1.63 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.24/1.63 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.24/1.63 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X
% 1.24/1.63 , Y, 'tc_nat' ) ), Y ) ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.24/1.63 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 X, T, 'tc_nat' ) ],
% 1.24/1.63 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.24/1.63 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' )
% 1.24/1.63 ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.24/1.63 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.24/1.63 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.24/1.63 T ), Z, X ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.24/1.63 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.24/1.63 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.24/1.63 ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.24/1.63 Y ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.24/1.63 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.24/1.63 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, T ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.63 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.63 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ) ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ) ],
% 1.24/1.63 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, X, 'tc_nat' ) ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.24/1.63 X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.24/1.63 X ), Y ), Z ) ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.24/1.63 ) ), Z ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.24/1.63 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.24/1.63 , X ) ) ],
% 1.24/1.63 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.24/1.63 , Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.24/1.63 , Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.24/1.63 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.24/1.63 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.63 X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.24/1.63 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.24/1.63 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), W ), T ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.63 X ), X ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.24/1.63 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.24/1.63 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.63 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.63 T, X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.24/1.63 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.24/1.63 'c_lessequals'( Y, Z, X ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.24/1.63 'c_lessequals'( Z, Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.63 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.63 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.24/1.63 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.63 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.24/1.63 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), U ) ) ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.24/1.63 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.24/1.63 , X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.24/1.63 , X ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.24/1.63 ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.63 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.24/1.63 , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.24/1.63 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.63 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.63 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.63 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ),
% 1.24/1.63 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.24/1.63 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.24/1.63 Y, X ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.24/1.63 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.24/1.63 T, X ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.24/1.63 'c_lessequals'( Y, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.24/1.63 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.24/1.63 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.24/1.63 Y, X ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.24/1.63 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.24/1.63 T, X ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.24/1.63 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Y ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.24/1.63 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y,
% 1.24/1.63 'tc_nat' ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ) ), T ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.24/1.63 'tc_nat' ) ) ],
% 1.24/1.63 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ),
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.24/1.63 'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.24/1.63 'tc_nat' ) ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.63 ), Y ) ), Z ) ), Z ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.24/1.63 ~( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.63 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X
% 1.24/1.63 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.63 ), Y ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.24/1.63 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.24/1.63 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.24/1.63 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 'tc_nat' ), X ), 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z,
% 1.24/1.63 'tc_nat' ) ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.24/1.63 'c_lessequals'( Y, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.24/1.63 'c_lessequals'( Z, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.24/1.63 'c_lessequals'( Y, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.24/1.63 'c_lessequals'( Z, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.63 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.63 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'(
% 1.24/1.63 X ), T ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.24/1.63 ), =( Z, Y ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.24/1.63 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.24/1.63 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.24/1.63 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.24/1.63 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.24/1.63 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.24/1.63 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.24/1.63 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.24/1.63 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ),
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.63 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.63 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.63 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.63 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.24/1.63 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.24/1.63 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.24/1.63 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.24/1.63 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 1.24/1.63 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.24/1.63 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.24/1.63 ), Y ), Z, X ) ) ],
% 1.24/1.63 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 1.24/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 1.24/1.63 'tc_bool' ) ), Y ) ) ) ],
% 1.24/1.63 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.24/1.63 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.24/1.63 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.24/1.63 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.63 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.63 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.63 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.63 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.63 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), hAPP( 'c_Suc',
% 1.24/1.63 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( X, Y
% 1.24/1.63 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.63 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.63 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.63 X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.63 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.63 X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.24/1.63 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.63 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.63 X ), X ) ) ],
% 1.24/1.63 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.24/1.63 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.24/1.63 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.24/1.63 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.24/1.63 ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.24/1.63 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.24/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), Z ), U ) ), W ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.24/1.63 ), W, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.24/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), Z ), T ) ), W ), X ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.24/1.63 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.24/1.63 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.24/1.63 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.24/1.63 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.24/1.63 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.24/1.63 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.24/1.63 ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.63 X ), T ), Z ) ), U ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.24/1.63 ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.24/1.63 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.24/1.63 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.63 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.63 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.63 Y, X ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.63 ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.24/1.63 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.24/1.63 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.24/1.63 , T ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.24/1.63 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.24/1.63 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.24/1.63 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.24/1.63 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.24/1.63 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.24/1.63 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.24/1.63 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.24/1.63 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.63 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.63 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.24/1.63 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.24/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.24/1.63 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.63 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.24/1.63 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.24/1.63 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.63 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.24/1.63 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.24/1.63 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.63 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.24/1.63 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.24/1.63 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.24/1.63 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.63 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat'
% 1.24/1.63 ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.24/1.63 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.24/1.63 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.24/1.63 ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.24/1.63 , Z ), Y ), 'tc_nat' ) ) ],
% 1.24/1.63 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.63 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.24/1.63 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.24/1.63 ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.24/1.63 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.63 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.24/1.63 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.63 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.63 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.24/1.63 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.24/1.63 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.63 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.24/1.63 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.24/1.63 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.24/1.63 , X ) ) ],
% 1.24/1.63 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.24/1.64 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.24/1.64 , X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.24/1.64 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.24/1.64 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.24/1.64 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.24/1.64 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.24/1.64 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.24/1.64 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.24/1.64 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X )
% 1.24/1.64 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), Y ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.64 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.24/1.64 ), Y ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.64 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.64 X ), Y ), Z ) ), T, X ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.64 'tc_nat' ), X ), Y ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.24/1.64 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.24/1.64 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.24/1.64 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 1.24/1.64 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.24/1.64 Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.24/1.64 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ), X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.64 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.64 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.24/1.64 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.24/1.64 'c_lessequals'( Z, Y, X ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.24/1.64 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.24/1.64 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.24/1.64 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.24/1.64 X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.64 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.24/1.64 , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ),
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.64 X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 'c_Suc',
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ) ), 'tc_nat' ) ],
% 1.24/1.64 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.24/1.64 , hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.24/1.64 ) ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.24/1.64 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.64 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.24/1.64 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.24/1.64 , X ) ), hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.24/1.64 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.64 Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.24/1.64 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.24/1.64 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.24/1.64 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.24/1.64 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.24/1.64 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.24/1.64 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.64 X ), Y ), Z ) ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), U, X
% 1.24/1.64 ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.24/1.64 Y ), T, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.64 X ), Y ), Z ) ), Z ), Y ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.64 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.64 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.24/1.64 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.24/1.64 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 1.24/1.64 'tc_bool' ) ), X ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.24/1.64 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.24/1.64 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), T ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), T ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.64 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.24/1.64 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.24/1.64 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.24/1.64 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.24/1.64 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.24/1.64 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.24/1.64 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.64 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.24/1.64 , X ) ), T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.64 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.24/1.64 ), Z ), T, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.24/1.64 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.64 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.24/1.64 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.24/1.64 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.24/1.64 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.24/1.64 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.24/1.64 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.24/1.64 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.24/1.64 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.24/1.64 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.24/1.64 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.24/1.64 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.24/1.64 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.24/1.64 , Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.64 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.64 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.64 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.64 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.24/1.64 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) )
% 1.24/1.64 , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.64 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.24/1.64 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.64 X ), T ), Y ) ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.24/1.64 , Y, 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.24/1.64 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.24/1.64 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 1.24/1.64 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.24/1.64 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.24/1.64 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.24/1.64 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.24/1.64 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.24/1.64 'tc_bool' ) ) ) ],
% 1.24/1.64 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), Y ) ),
% 1.24/1.64 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.24/1.64 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.64 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.24/1.64 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.64 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.24/1.64 , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), Y, 'tc_nat' )
% 1.24/1.64 , 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 1.24/1.64 'tc_bool' ) ), Z, T ) ) ],
% 1.24/1.64 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.24/1.64 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 1.24/1.64 'tc_bool' ) ), Z, T ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), Z ), Y ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.64 , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), Y ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ) ) ],
% 1.24/1.64 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), Y ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), Y ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.64 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.24/1.64 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.24/1.64 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.24/1.64 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.24/1.64 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.24/1.64 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.24/1.64 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.24/1.64 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.24/1.64 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.24/1.64 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.24/1.64 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Z ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Z ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.24/1.64 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.24/1.64 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.24/1.64 ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.24/1.64 ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.24/1.64 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.64 , X ) ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.24/1.64 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.64 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.24/1.64 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.24/1.64 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.64 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.64 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.64 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.24/1.64 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.24/1.64 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.24/1.64 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.24/1.64 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.64 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.24/1.64 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.24/1.64 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.64 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.24/1.64 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.24/1.64 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.24/1.64 X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.24/1.64 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.24/1.64 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.24/1.64 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.24/1.64 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.24/1.64 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.24/1.64 , Y ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.24/1.64 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.24/1.64 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.24/1.64 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.24/1.64 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.24/1.64 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ) ) ), =( Y, Z ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ) ) ), =( Y, Z ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.24/1.64 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.24/1.64 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.24/1.64 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.24/1.64 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.24/1.64 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.24/1.64 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.24/1.64 ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.64 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.24/1.64 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ),
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.24/1.64 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.24/1.64 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ),
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.24/1.64 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.24/1.64 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.24/1.64 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.24/1.64 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.64 T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.64 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.24/1.64 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.64 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.24/1.64 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.24/1.64 ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.24/1.64 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.64 T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.24/1.64 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.24/1.64 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.24/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.24/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.24/1.64 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.24/1.64 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.24/1.64 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ), X ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.24/1.64 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.24/1.64 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.24/1.64 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.24/1.64 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.24/1.64 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.24/1.64 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.24/1.64 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.24/1.64 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.24/1.64 ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.24/1.64 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.24/1.64 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.24/1.64 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), Z ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , Z ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), T ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.24/1.64 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), T ), Z ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.24/1.64 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.24/1.64 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.24/1.64 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.24/1.64 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.24/1.64 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.64 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.24/1.64 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.24/1.64 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.64 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.24/1.64 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.24/1.64 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.24/1.64 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.24/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ) ),
% 1.24/1.64 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X,
% 1.24/1.64 X, Z ), T, Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.64 'c_Int_OPls', X ) ), Y ) ],
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.64 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.24/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.24/1.64 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.24/1.64 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.24/1.64 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.24/1.64 [ ~( =( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) )
% 1.24/1.64 , Y ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat'
% 1.24/1.64 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.64 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.64 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.24/1.64 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.24/1.64 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.24/1.64 ), 'tc_nat' ) ) ],
% 1.24/1.64 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.24/1.64 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.24/1.64 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.24/1.64 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.24/1.64 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.24/1.64 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.24/1.64 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.24/1.64 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.24/1.64 ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.64 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.24/1.64 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.24/1.64 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ) ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.24/1.64 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.64 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.64 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.24/1.64 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.24/1.64 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.24/1.64 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.24/1.64 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.24/1.64 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.24/1.64 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.24/1.64 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.64 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.24/1.64 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.24/1.64 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.64 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.24/1.64 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.24/1.64 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.24/1.64 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ),
% 1.24/1.64 ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.24/1.64 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.24/1.64 ) ), Z ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.24/1.64 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.24/1.64 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.24/1.64 , Y, 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.24/1.64 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.24/1.64 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.24/1.64 , X, 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.24/1.64 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.24/1.64 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.24/1.64 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.24/1.64 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.24/1.64 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.24/1.64 , X, 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.64 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.24/1.64 ), 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.64 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.24/1.64 ), 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.64 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.64 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.64 'tc_nat' ) ), =( Y, Z ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.24/1.64 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.24/1.64 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.24/1.64 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 1.24/1.64 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 1.24/1.64 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.24/1.64 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.24/1.64 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.24/1.64 [ =( 'c_Set_Oimage'( 'c_Suc',
% 1.24/1.64 'c_SetInterval_Oord__class_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.24/1.64 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc'
% 1.24/1.64 , X ), hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.24/1.64 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.24/1.64 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.24/1.64 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.24/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.24/1.64 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.24/1.64 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), T ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.24/1.64 Y ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.24/1.64 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.24/1.64 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.24/1.64 ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z,
% 1.24/1.64 T, X ) ), T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.24/1.64 ) ), Z ), T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.64 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.24/1.64 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , Y ) ), Z ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.24/1.64 Z, 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.24/1.64 Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.64 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.64 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.24/1.64 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.24/1.64 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.24/1.64 , X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.24/1.64 ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.24/1.64 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 , X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.24/1.64 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.24/1.64 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.24/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.64 , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.24/1.64 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.24/1.64 ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.24/1.64 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.24/1.64 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.24/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.24/1.64 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.24/1.64 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.24/1.64 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.64 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.24/1.64 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.24/1.64 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.24/1.64 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.24/1.64 , Y ) ) ],
% 1.24/1.64 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.64 'tc_nat' ) ) ) ],
% 1.24/1.64 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.24/1.64 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.24/1.64 [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL(
% 1.24/1.64 hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.24/1.64 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.24/1.64 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.64 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ), 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.24/1.64 ), 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.24/1.64 ), 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.24/1.64 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.24/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.24/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.24/1.64 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.24/1.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.24/1.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ) ) ],
% 1.24/1.64 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.24/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.24/1.64 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.64 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.24/1.64 'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_Finite__Set_Osetsum'(
% 1.24/1.64 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, T ), Z, T, X ), X ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.64 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.64 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.64 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.24/1.64 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.24/1.64 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.64 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ), X, 'tc_nat' ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.64 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.24/1.64 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.24/1.64 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.24/1.64 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.24/1.64 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.24/1.64 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP(
% 1.24/1.64 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.24/1.64 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.24/1.64 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.24/1.64 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.64 'tc_nat' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.24/1.64 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.24/1.64 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.24/1.64 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.24/1.64 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.24/1.64 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'(
% 1.24/1.64 X, Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.24/1.64 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.24/1.64 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 1.24/1.64 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.24/1.64 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 1.24/1.64 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), T ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), T ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.64 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.64 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.24/1.64 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.64 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.24/1.64 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.24/1.64 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.24/1.64 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.64 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.24/1.64 ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.24/1.64 ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.24/1.64 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.24/1.64 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.24/1.64 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.64 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.64 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.24/1.64 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.24/1.64 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.24/1.64 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.24/1.64 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.64 'tc_nat' ) ), X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.24/1.64 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.24/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.64 , X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.24/1.64 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.24/1.64 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.24/1.64 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.24/1.64 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.24/1.64 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.24/1.64 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.64 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.64 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.64 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.24/1.64 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.24/1.64 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.24/1.64 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.24/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.24/1.64 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.24/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.24/1.64 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.24/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.24/1.64 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.24/1.64 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.24/1.64 , X ) ) ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.64 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.24/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.24/1.64 ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.64 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.64 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.64 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.64 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.24/1.65 ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.24/1.65 ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.24/1.65 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.24/1.65 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.65 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.65 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.65 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.65 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.65 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.24/1.65 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.24/1.65 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.65 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.65 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.24/1.65 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.24/1.65 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.65 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.65 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.24/1.65 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.24/1.65 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.65 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.24/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.24/1.65 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.24/1.65 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.65 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.24/1.65 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.24/1.65 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.24/1.65 , X, Z, U, W, V0 ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.24/1.65 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.65 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.24/1.65 'tc_nat' ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.24/1.65 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.24/1.65 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.65 'tc_nat' ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.24/1.65 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.24/1.65 'tc_nat' ), X ), Y ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.24/1.65 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.65 'tc_nat' ), X ), Y ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.24/1.65 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.65 'tc_nat' ), X ), Y ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.24/1.65 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.24/1.65 'c_Suc', Y ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.24/1.65 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.24/1.65 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.24/1.65 ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.24/1.65 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.24/1.65 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.24/1.65 V0, V1 ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.24/1.65 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.24/1.65 V0, V1 ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.24/1.65 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.24/1.65 , V0, V1 ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.24/1.65 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.24/1.65 , V0, V1 ) ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.24/1.65 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.24/1.65 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =(
% 1.24/1.65 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 1.24/1.65 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.24/1.65 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.24/1.65 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.24/1.65 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.24/1.65 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.24/1.65 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.24/1.65 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.24/1.65 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.24/1.65 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.24/1.65 X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.24/1.65 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.24/1.65 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.24/1.65 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.24/1.65 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ),
% 1.24/1.65 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.65 'tc_nat' ) ) ],
% 1.24/1.65 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ),
% 1.24/1.65 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.24/1.65 'tc_nat' ) ) ],
% 1.24/1.65 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.24/1.65 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.24/1.65 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.65 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~(
% 1.24/1.65 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.24/1.65 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.24/1.65 ), Y ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.24/1.65 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.24/1.65 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.24/1.65 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.24/1.65 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.24/1.65 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.24/1.65 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.24/1.65 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.24/1.65 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.24/1.65 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.24/1.65 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.24/1.65 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.65 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.24/1.65 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.24/1.65 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), Y, 'tc_nat'
% 1.24/1.65 ), 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', Z ), Y, 'tc_nat' ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.24/1.65 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.24/1.65 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.24/1.65 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.24/1.65 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.24/1.65 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.24/1.65 , Z ) ],
% 1.24/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.24/1.65 , Z ) ],
% 1.24/1.65 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.24/1.65 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.24/1.65 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.24/1.65 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.24/1.65 ), Z ), Y ), 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.24/1.65 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Z ),
% 1.24/1.65 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.24/1.65 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.24/1.65 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ),
% 1.24/1.65 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.24/1.65 ), X ), Z ), 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.24/1.65 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.24/1.65 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.24/1.65 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.24/1.65 , X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.24/1.65 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.24/1.65 , T ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.24/1.65 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.24/1.65 X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.24/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.24/1.65 ), Y, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.24/1.65 Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.24/1.65 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.24/1.65 , X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.24/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.24/1.65 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.24/1.65 ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.24/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.24/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.24/1.65 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.24/1.65 X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.24/1.65 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), Y ), T ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.24/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.24/1.65 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 X ), T ), Z ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.24/1.65 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.24/1.65 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 T, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.24/1.65 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.24/1.65 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.65 , Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.24/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.24/1.65 Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.65 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.24/1.65 , Z ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.24/1.65 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.24/1.65 ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.24/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.24/1.65 ), Z, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.24/1.65 ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.24/1.65 ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.24/1.65 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetsum'(
% 1.24/1.65 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ), X ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.24/1.65 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.24/1.65 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.65 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.24/1.65 ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.24/1.65 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.24/1.65 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.65 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.24/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.24/1.65 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.24/1.65 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.65 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.24/1.65 ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.24/1.65 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.65 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.24/1.65 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.24/1.65 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.65 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.24/1.65 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.24/1.65 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.24/1.65 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.65 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.65 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.24/1.65 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.24/1.65 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), 'c_Finite__Set_Osetsum'(
% 1.24/1.65 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.24/1.65 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.24/1.65 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ),
% 1.24/1.65 'tc_nat', X ) ) ) ],
% 1.24/1.65 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ),
% 1.24/1.65 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ),
% 1.24/1.65 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_nat' ), 'c_Set_Oimage'(
% 1.24/1.65 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.24/1.65 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_nat' ), 'tc_fun'( 'tc_nat',
% 1.24/1.65 'tc_bool' ) ) ) ],
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.24/1.65 , Y ) ) ],
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.24/1.65 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.24/1.65 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.24/1.65 ) ],
% 1.24/1.65 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.24/1.65 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.24/1.65 ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.24/1.65 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.24/1.65 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.65 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.24/1.65 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.24/1.65 'tc_nat' ), X ), X ) ) ],
% 1.24/1.65 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.24/1.65 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.24/1.65 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 1.24/1.65 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 1.24/1.65 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.24/1.65 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.24/1.65 ) ), 'c_Complex_Oii' ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.65 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.24/1.65 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.24/1.65 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.24/1.65 ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.24/1.65 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.24/1.65 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.24/1.65 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.24/1.65 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.65 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.24/1.65 X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.24/1.65 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 1.24/1.65 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.24/1.65 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.24/1.65 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.24/1.65 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.24/1.65 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.65 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ) ) ],
% 1.24/1.65 [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X,
% 1.24/1.65 'tc_nat', 'tc_nat' ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.24/1.65 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.24/1.65 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.24/1.65 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.24/1.65 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.24/1.65 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.24/1.65 , X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.24/1.65 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_Finite__Set_Osetsum'(
% 1.24/1.65 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.24/1.65 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.24/1.65 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.24/1.65 'tc_nat', X ) ) ) ],
% 1.24/1.65 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.24/1.65 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.24/1.65 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.24/1.65 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.24/1.65 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.24/1.65 'tc_nat', X ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.24/1.65 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.24/1.65 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.24/1.65 , Z ), 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.24/1.65 'tc_nat', X ) ) ],
% 1.24/1.65 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.24/1.65 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.24/1.65 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.24/1.65 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.24/1.65 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.24/1.65 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.24/1.65 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.24/1.65 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.24/1.65 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.24/1.65 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.24/1.65 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.24/1.65 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.24/1.65 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.24/1.65 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.24/1.65 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.24/1.65 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.24/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.24/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.24/1.65 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.24/1.65 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.65 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.24/1.65 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.24/1.65 ), Y ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.24/1.65 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.24/1.65 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.65 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.65 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.65 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.24/1.65 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 X ) ) ],
% 1.24/1.65 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.24/1.65 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.24/1.65 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.24/1.65 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.65 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.65 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.24/1.65 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.24/1.65 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.24/1.65 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.65 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.24/1.65 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.24/1.65 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.24/1.65 , X ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.24/1.65 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.24/1.65 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.24/1.65 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), Y ), Z ) ) ) ],
% 1.24/1.65 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.24/1.65 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.24/1.65 , Y ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.24/1.65 , Y ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.24/1.65 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.24/1.65 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.24/1.65 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.24/1.65 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.65 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.24/1.65 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.24/1.65 , X ) ), Z ) ), Z ) ) ],
% 1.24/1.65 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.24/1.65 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 X ), Y ), Y ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.24/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.24/1.65 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.24/1.65 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.24/1.65 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.24/1.65 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.24/1.65 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.24/1.65 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ) ), Y ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.24/1.65 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.24/1.65 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.24/1.65 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.24/1.65 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.24/1.65 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.24/1.65 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.24/1.65 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.24/1.65 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.24/1.65 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.24/1.65 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.24/1.65 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.24/1.65 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.24/1.65 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.24/1.65 , Y ) ],
% 1.24/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.24/1.65 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.24/1.65 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.24/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.24/1.65 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.24/1.65 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.24/1.65 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.24/1.65 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.24/1.65 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.24/1.65 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.24/1.65 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.24/1.65 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.24/1.65 , W ) ) ) ],
% 1.24/1.65 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.24/1.65 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.24/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.24/1.65 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.24/1.65 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.24/1.65 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.24/1.65 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.24/1.65 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.24/1.65 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.24/1.65 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.24/1.65 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.24/1.65 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.24/1.65 ) ) ],
% 1.24/1.65 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.24/1.65 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.24/1.65 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.24/1.65 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.24/1.65 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'v_i' ) ),
% 1.24/1.65 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.24/1.65 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.24/1.65 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.24/1.65 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.24/1.65 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 1.24/1.65 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.24/1.65 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.24/1.65 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.24/1.65 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.24/1.65 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.24/1.65 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.24/1.65 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.24/1.65 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.24/1.65 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.24/1.65 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.24/1.65 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.24/1.65 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.24/1.65 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.24/1.65 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'v_i' ) ),
% 1.24/1.65 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.24/1.65 , 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.24/1.65 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.24/1.65 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.24/1.65 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.24/1.65 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.24/1.65 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.24/1.65 'class_Lattices_Olattice'( Y ) ) ],
% 1.24/1.65 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.24/1.65 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.24/1.65 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.24/1.65 'class_Orderings_Opreorder'( Y ) ) ],
% 1.24/1.65 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.24/1.65 'class_Lattices_Olattice'( Y ) ) ],
% 1.24/1.65 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.24/1.65 'class_Orderings_Oorder'( Y ) ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.24/1.65 ],
% 1.24/1.65 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.24/1.65 ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.24/1.65 ],
% 1.24/1.65 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.24/1.65 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.24/1.65 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.24/1.65 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.24/1.65 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.24/1.65 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.24/1.65 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.24/1.65 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.24/1.65 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.24/1.65 ],
% 1.24/1.65 [ 'class_OrderedGroup_Olordered__ab__group__add__join'( 'tc_Int_Oint' )
% 1.24/1.65 ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.24/1.65 ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.24/1.65 ,
% 1.24/1.65 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Lattices_Oupper__semilattice'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.24/1.65 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.24/1.66 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.24/1.66 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.24/1.66 [ 'class_Lattices_Olattice'( 'tc_Int_Oint' ) ],
% 1.24/1.66 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.24/1.66 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.24/1.66 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.24/1.66 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.24/1.66 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.24/1.66 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.24/1.66 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.24/1.66 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.24/1.66 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.24/1.66 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.24/1.66 ],
% 1.24/1.66 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.24/1.66 ],
% 1.24/1.66 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.24/1.66 ],
% 1.24/1.66 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.24/1.66 ],
% 1.24/1.66 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.24/1.66 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.24/1.66 , W ) ) ) ],
% 1.24/1.66 [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 1.24/1.66 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.24/1.66 ,
% 1.24/1.66 [ 'c_fequal'( X, X, Y ) ],
% 1.24/1.66 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.24/1.66 ] .
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 percentage equality = 0.236115, percentage horn = 0.839526
% 1.24/1.66 This is a problem with some equality
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 Options Used:
% 1.24/1.66
% 1.24/1.66 useres = 1
% 1.24/1.66 useparamod = 1
% 1.24/1.66 useeqrefl = 1
% 1.24/1.66 useeqfact = 1
% 1.24/1.66 usefactor = 1
% 1.24/1.66 usesimpsplitting = 0
% 1.24/1.66 usesimpdemod = 5
% 1.24/1.66 usesimpres = 3
% 1.24/1.66
% 1.24/1.66 resimpinuse = 1000
% 1.24/1.66 resimpclauses = 20000
% 1.24/1.66 substype = eqrewr
% 1.24/1.66 backwardsubs = 1
% 1.24/1.66 selectoldest = 5
% 1.24/1.66
% 1.24/1.66 litorderings [0] = split
% 1.24/1.66 litorderings [1] = extend the termordering, first sorting on arguments
% 1.24/1.66
% 1.24/1.66 termordering = kbo
% 1.24/1.66
% 1.24/1.66 litapriori = 0
% 1.24/1.66 termapriori = 1
% 1.24/1.66 litaposteriori = 0
% 1.24/1.66 termaposteriori = 0
% 1.24/1.66 demodaposteriori = 0
% 1.24/1.66 ordereqreflfact = 0
% 1.24/1.66
% 1.24/1.66 litselect = negord
% 1.24/1.66
% 1.24/1.66 maxweight = 15
% 1.24/1.66 maxdepth = 30000
% 1.24/1.66 maxlength = 115
% 1.24/1.66 maxnrvars = 195
% 1.24/1.66 excuselevel = 1
% 1.24/1.66 increasemaxweight = 1
% 1.24/1.66
% 1.24/1.66 maxselected = 10000000
% 1.24/1.66 maxnrclauses = 10000000
% 1.24/1.66
% 1.24/1.66 showgenerated = 0
% 1.24/1.66 showkept = 0
% 1.24/1.66 showselected = 0
% 1.24/1.66 showdeleted = 0
% 1.24/1.66 showresimp = 1
% 1.24/1.66 showstatus = 2000
% 1.24/1.66
% 1.24/1.66 prologoutput = 1
% 1.24/1.66 nrgoals = 5000000
% 1.24/1.66 totalproof = 1
% 1.24/1.66
% 1.24/1.66 Symbols occurring in the translation:
% 1.24/1.66
% 1.24/1.66 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.24/1.66 . [1, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.24/1.66 ! [4, 1] (w:0, o:75, a:1, s:1, b:0),
% 1.24/1.66 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.24/1.66 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.24/1.66 'class_Lattices_Olattice' [40, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.24/1.66 'c_Lattices_Oupper__semilattice__class_Osup' [43, 3] (w:1, o:193, a:1
% 1.24/1.66 , s:1, b:0),
% 1.24/1.66 'c_lessequals' [44, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.24/1.66 'class_Lattices_Oupper__semilattice' [45, 1] (w:1, o:81, a:1, s:1, b:
% 1.24/1.66 0),
% 1.24/1.66 'class_OrderedGroup_Opordered__comm__monoid__add' [48, 1] (w:1, o:83
% 1.24/1.66 , a:1, s:1, b:0),
% 1.24/1.66 'c_HOL_Ozero__class_Ozero' [49, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.24/1.66 'c_HOL_Oplus__class_Oplus' [50, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.24/1.66 hAPP [51, 2] (w:1, o:188, a:1, s:1, b:0),
% 1.24/1.66 'c_HOL_Oord__class_Oless' [52, 3] (w:1, o:195, a:1, s:1, b:0),
% 1.24/1.66 'class_OrderedGroup_Opordered__ab__group__add__abs' [53, 1] (w:1, o:
% 1.24/1.66 87, a:1, s:1, b:0),
% 1.24/1.66 'c_HOL_Oabs__class_Oabs' [54, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.24/1.66 'class_Ring__and__Field_Ocomm__ring__1' [55, 1] (w:1, o:89, a:1, s:1
% 1.24/1.66 , b:0),
% 1.24/1.66 'c_Power_Opower__class_Opower' [56, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.24/1.66 'c_HOL_Ouminus__class_Ouminus' [57, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.24/1.66 'c_HOL_Oone__class_Oone' [58, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.24/1.66 'tc_nat' [59, 0] (w:1, o:21, a:1, s:1, b:0),
% 1.24/1.66 'c_Parity_Oeven__odd__class_Oeven' [60, 2] (w:1, o:189, a:1, s:1, b:0
% 1.24/1.66 ),
% 1.24/1.66 'class_OrderedGroup_Ocancel__semigroup__add' [61, 1] (w:1, o:93, a:1
% 1.24/1.66 , s:1, b:0),
% 1.24/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add' [63, 1] (w:1, o:94
% 1.24/1.66 , a:1, s:1, b:0),
% 1.24/1.66 'class_Ring__and__Field_Oidom' [64, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.24/1.66 'class_Int_Onumber__ring' [65, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.24/1.66 'class_Divides_Oring__div' [70, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.24/1.66 'c_HOL_Ominus__class_Ominus' [71, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.24/1.66 'c_Divides_Odiv__class_Omod' [72, 3] (w:1, o:196, a:1, s:1, b:0),
% 1.24/1.66 'c_Groebner__Basis_Ogb__semiring' [79, 6] (w:1, o:207, a:1, s:1, b:0)
% 1.24/1.66 ,
% 1.24/1.66 'class_OrderedGroup_Oab__group__add' [85, 1] (w:1, o:99, a:1, s:1, b:
% 1.24/1.66 0),
% 1.24/1.66 'class_OrderedGroup_Ogroup__add' [86, 1] (w:1, o:100, a:1, s:1, b:0)
% 1.24/1.66 ,
% 1.24/1.66 'class_Ring__and__Field_Ocomm__semiring__1' [87, 1] (w:1, o:103, a:1
% 1.24/1.66 , s:1, b:0),
% 1.24/1.66 'class_Ring__and__Field_Oordered__field' [88, 1] (w:1, o:106, a:1, s:
% 1.24/1.66 1, b:0),
% 1.24/1.66 'c_HOL_Oinverse__class_Odivide' [89, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.24/1.66
% 1.24/1.66 'c_Divides_Odiv__class_Odiv' [90, 3] (w:1, o:197, a:1, s:1, b:0),
% 1.24/1.66 'class_Ring__and__Field_Oordered__semidom' [91, 1] (w:1, o:109, a:1
% 1.24/1.66 , s:1, b:0),
% 1.24/1.66 'class_Ring__and__Field_Oordered__idom' [92, 1] (w:1, o:110, a:1, s:1
% 1.24/1.66 , b:0),
% 1.24/1.66 'class_Divides_Osemiring__div' [93, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.24/1.66 'c_HOL_Otimes__class_Otimes' [96, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.24/1.66 hBOOL [98, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.24/1.66 'class_OrderedGroup_Olordered__ab__group__add' [99, 1] (w:1, o:113
% 1.24/1.66 , a:1, s:1, b:0),
% 1.24/1.66 'class_Orderings_Oorder' [100, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.24/1.66 'class_Orderings_Olinorder' [101, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.24/1.66 'class_OrderedGroup_Opordered__ab__group__add' [102, 1] (w:1, o:116
% 1.24/1.66 , a:1, s:1, b:0),
% 1.24/1.66 'c_Suc' [106, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.24/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add' [107, 1] (w:1, o:
% 1.24/1.66 117, a:1, s:1, b:0),
% 1.24/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [108, 1]
% 1.24/1.66 (w:1, o:118, a:1, s:1, b:0),
% 1.24/1.66 'class_OrderedGroup_Ocomm__monoid__add' [109, 1] (w:1, o:119, a:1, s:
% 1.24/1.66 1, b:0),
% 3.15/3.61 'class_OrderedGroup_Oordered__ab__group__add' [110, 1] (w:1, o:82, a:
% 3.15/3.61 1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Oring' [111, 1] (w:1, o:120, a:1, s:1, b:0),
% 3.15/3.61
% 3.15/3.61 'c_Int_OMin' [114, 0] (w:1, o:50, a:1, s:1, b:0),
% 3.15/3.61 'c_Int_Onumber__class_Onumber__of' [115, 2] (w:1, o:190, a:1, s:1, b:
% 3.15/3.61 0),
% 3.15/3.61 'class_Ring__and__Field_Opordered__ring' [119, 1] (w:1, o:124, a:1
% 3.15/3.61 , s:1, b:0),
% 3.15/3.61 'class_Orderings_Opreorder' [121, 1] (w:1, o:125, a:1, s:1, b:0),
% 3.15/3.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [122, 1]
% 3.15/3.61 (w:1, o:126, a:1, s:1, b:0),
% 3.15/3.61 'class_Lattices_Oboolean__algebra' [126, 1] (w:1, o:127, a:1, s:1, b:
% 3.15/3.61 0),
% 3.15/3.61 'class_OrderedGroup_Olordered__ab__group__add__abs' [127, 1] (w:1, o:
% 3.15/3.61 128, a:1, s:1, b:0),
% 3.15/3.61 'c_SetInterval_Oord__class_OatLeastLessThan' [128, 3] (w:1, o:198, a:
% 3.15/3.61 1, s:1, b:0),
% 3.15/3.61 'tc_bool' [129, 0] (w:1, o:52, a:1, s:1, b:0),
% 3.15/3.61 'tc_fun' [130, 2] (w:1, o:191, a:1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Oabs__if' [133, 1] (w:1, o:129, a:1, s:1, b:0
% 3.15/3.61 ),
% 3.15/3.61 'c_Set_Oimage' [136, 4] (w:1, o:202, a:1, s:1, b:0),
% 3.15/3.61 'c_Fun_Oinj__on' [137, 4] (w:1, o:203, a:1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Olordered__ring' [138, 1] (w:1, o:130, a:1
% 3.15/3.61 , s:1, b:0),
% 3.15/3.61 'class_Int_Onumber' [139, 1] (w:1, o:131, a:1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Ofield' [142, 1] (w:1, o:132, a:1, s:1, b:0)
% 3.15/3.61 ,
% 3.15/3.61 'class_Ring__and__Field_Odivision__by__zero' [143, 1] (w:1, o:134, a:
% 3.15/3.61 1, s:1, b:0),
% 3.15/3.61 'c_Finite__Set_Osetsum' [144, 4] (w:1, o:204, a:1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Oordered__ring__strict' [145, 1] (w:1, o:108
% 3.15/3.61 , a:1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Oordered__semiring__strict' [146, 1] (w:1, o:
% 3.15/3.61 121, a:1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Oordered__comm__semiring__strict' [147, 1]
% 3.15/3.61 (w:1, o:122, a:1, s:1, b:0),
% 3.15/3.61 'class_OrderedGroup_Olordered__ab__group__add__join' [148, 1] (w:1
% 3.15/3.61 , o:135, a:1, s:1, b:0),
% 3.15/3.61 'class_OrderedGroup_Oab__semigroup__add' [149, 1] (w:1, o:136, a:1
% 3.15/3.61 , s:1, b:0),
% 3.15/3.61 'class_RealVector_Oreal__normed__algebra' [151, 1] (w:1, o:137, a:1
% 3.15/3.61 , s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Omult__mono1' [152, 1] (w:1, o:138, a:1, s:1
% 3.15/3.61 , b:0),
% 3.15/3.61 'class_Ring__and__Field_Omult__mono' [153, 1] (w:1, o:139, a:1, s:1
% 3.15/3.61 , b:0),
% 3.15/3.61 'class_Ring__and__Field_Opordered__cancel__semiring' [154, 1] (w:1
% 3.15/3.61 , o:140, a:1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Opordered__semiring' [155, 1] (w:1, o:142, a:
% 3.15/3.61 1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Osemiring' [156, 1] (w:1, o:146, a:1, s:1, b:
% 3.15/3.61 0),
% 3.15/3.61 'class_Ring__and__Field_Ozero__neq__one' [157, 1] (w:1, o:147, a:1
% 3.15/3.61 , s:1, b:0),
% 3.15/3.61 'class_OrderedGroup_Omonoid__add' [158, 1] (w:1, o:148, a:1, s:1, b:0
% 3.15/3.61 ),
% 3.15/3.61 'class_Ring__and__Field_Opordered__ring__abs' [159, 1] (w:1, o:141
% 3.15/3.61 , a:1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Oordered__semiring' [160, 1] (w:1, o:123, a:1
% 3.15/3.61 , s:1, b:0),
% 3.15/3.61 'c_COMBB' [163, 5] (w:1, o:205, a:1, s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Ocomm__semiring' [164, 1] (w:1, o:133, a:1
% 3.15/3.61 , s:1, b:0),
% 3.15/3.61 'class_OrderedGroup_Omonoid__mult' [166, 1] (w:1, o:149, a:1, s:1, b:
% 3.15/3.61 0),
% 3.15/3.61 'c_Int_OPls' [167, 0] (w:1, o:60, a:1, s:1, b:0),
% 3.15/3.61 'class_Power_Opower' [168, 1] (w:1, o:153, a:1, s:1, b:0),
% 3.15/3.61 'c_Int_OBit1' [169, 1] (w:1, o:155, a:1, s:1, b:0),
% 3.15/3.61 'c_Int_OBit0' [170, 1] (w:1, o:154, a:1, s:1, b:0),
% 3.15/3.61 'class_OrderedGroup_Ocomm__monoid__mult' [171, 1] (w:1, o:150, a:1
% 3.15/3.61 , s:1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Oring__1' [172, 1] (w:1, o:143, a:1, s:1, b:0
% 3.15/3.61 ),
% 3.15/3.61 'class_RealVector_Oreal__field' [173, 1] (w:1, o:156, a:1, s:1, b:0)
% 3.15/3.61 ,
% 3.15/3.61 'class_Ring__and__Field_Osemiring__0' [175, 1] (w:1, o:157, a:1, s:1
% 3.15/3.61 , b:0),
% 3.15/3.61 'c_COMBS' [176, 5] (w:1, o:206, a:1, s:1, b:0),
% 3.15/3.61 'tc_Complex_Ocomplex' [177, 0] (w:1, o:61, a:1, s:1, b:0),
% 3.15/3.61 'c_FFT__Mirabelle_Oroot' [178, 1] (w:1, o:158, a:1, s:1, b:0),
% 3.15/3.61 'class_RealVector_Oreal__normed__field' [179, 1] (w:1, o:159, a:1, s:
% 3.15/3.61 1, b:0),
% 3.15/3.61 'class_Ring__and__Field_Ocomm__ring' [180, 1] (w:1, o:101, a:1, s:1
% 14.25/14.69 , b:0),
% 14.25/14.69 'class_Ring__and__Field_Osemiring__1' [181, 1] (w:1, o:160, a:1, s:1
% 14.25/14.69 , b:0),
% 14.25/14.69 'c_Complex_Oii' [182, 0] (w:1, o:62, a:1, s:1, b:0),
% 14.25/14.69 'class_RealVector_Oreal__normed__algebra__1' [183, 1] (w:1, o:161, a:
% 14.25/14.69 1, s:1, b:0),
% 14.25/14.69 'c_Series_Osuminf' [184, 2] (w:1, o:192, a:1, s:1, b:0),
% 14.25/14.69 'class_Ring__and__Field_Ocomm__semiring__0' [185, 1] (w:1, o:102, a:1
% 14.25/14.69 , s:1, b:0),
% 14.25/14.69 'v_i' [186, 0] (w:1, o:63, a:1, s:1, b:0),
% 14.25/14.69 'c_FFT__Mirabelle_ODFT' [187, 3] (w:1, o:199, a:1, s:1, b:0),
% 14.25/14.69 'c_FFT__Mirabelle_OIDFT' [188, 3] (w:1, o:200, a:1, s:1, b:0),
% 14.25/14.69 'class_Ring__and__Field_Ono__zero__divisors' [191, 1] (w:1, o:105, a:
% 14.25/14.69 1, s:1, b:0),
% 14.25/14.69 'class_Ring__and__Field_Omult__zero' [192, 1] (w:1, o:104, a:1, s:1
% 14.25/14.69 , b:0),
% 14.25/14.69 'class_Ring__and__Field_Oring__no__zero__divisors' [193, 1] (w:1, o:
% 14.25/14.69 144, a:1, s:1, b:0),
% 14.25/14.69 'class_OrderedGroup_Oab__semigroup__mult' [194, 1] (w:1, o:151, a:1
% 14.25/14.69 , s:1, b:0),
% 14.25/14.69 'class_OrderedGroup_Oab__semigroup__idem__mult' [195, 1] (w:1, o:152
% 14.25/14.69 , a:1, s:1, b:0),
% 14.25/14.69 'class_Ring__and__Field_Oring__1__no__zero__divisors' [196, 1] (w:1
% 14.25/14.69 , o:145, a:1, s:1, b:0),
% 14.25/14.69 'class_Int_Oring__char__0' [199, 1] (w:1, o:162, a:1, s:1, b:0),
% 14.25/14.69 'v_a' [200, 0] (w:1, o:68, a:1, s:1, b:0),
% 14.25/14.69 'v_m' [201, 0] (w:1, o:69, a:1, s:1, b:0),
% 14.25/14.69 'tc_Int_Oint' [204, 0] (w:1, o:72, a:1, s:1, b:0),
% 14.25/14.69 'c_COMBC' [205, 6] (w:1, o:208, a:1, s:1, b:0),
% 14.25/14.69 'c_fequal' [206, 3] (w:1, o:201, a:1, s:1, b:0).
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Starting Search:
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 4390
% 14.25/14.69 Kept: 2000
% 14.25/14.69 Inuse: 69
% 14.25/14.69 Deleted: 2
% 14.25/14.69 Deletedinuse: 0
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 11592
% 14.25/14.69 Kept: 4001
% 14.25/14.69 Inuse: 175
% 14.25/14.69 Deleted: 3
% 14.25/14.69 Deletedinuse: 0
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 19297
% 14.25/14.69 Kept: 6164
% 14.25/14.69 Inuse: 252
% 14.25/14.69 Deleted: 4
% 14.25/14.69 Deletedinuse: 0
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 27791
% 14.25/14.69 Kept: 9103
% 14.25/14.69 Inuse: 324
% 14.25/14.69 Deleted: 8
% 14.25/14.69 Deletedinuse: 1
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 32682
% 14.25/14.69 Kept: 11115
% 14.25/14.69 Inuse: 375
% 14.25/14.69 Deleted: 10
% 14.25/14.69 Deletedinuse: 1
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 40875
% 14.25/14.69 Kept: 14282
% 14.25/14.69 Inuse: 421
% 14.25/14.69 Deleted: 10
% 14.25/14.69 Deletedinuse: 1
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 46061
% 14.25/14.69 Kept: 16305
% 14.25/14.69 Inuse: 480
% 14.25/14.69 Deleted: 12
% 14.25/14.69 Deletedinuse: 1
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 52735
% 14.25/14.69 Kept: 18540
% 14.25/14.69 Inuse: 525
% 14.25/14.69 Deleted: 12
% 14.25/14.69 Deletedinuse: 1
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying clauses:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 59517
% 14.25/14.69 Kept: 20604
% 14.25/14.69 Inuse: 565
% 14.25/14.69 Deleted: 423
% 14.25/14.69 Deletedinuse: 1
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 65584
% 14.25/14.69 Kept: 22992
% 14.25/14.69 Inuse: 610
% 14.25/14.69 Deleted: 423
% 14.25/14.69 Deletedinuse: 1
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 71509
% 14.25/14.69 Kept: 25243
% 14.25/14.69 Inuse: 630
% 14.25/14.69 Deleted: 423
% 14.25/14.69 Deletedinuse: 1
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 76157
% 14.25/14.69 Kept: 27245
% 14.25/14.69 Inuse: 651
% 14.25/14.69 Deleted: 424
% 14.25/14.69 Deletedinuse: 2
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 81031
% 14.25/14.69 Kept: 29314
% 14.25/14.69 Inuse: 690
% 14.25/14.69 Deleted: 424
% 14.25/14.69 Deletedinuse: 2
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 87926
% 14.25/14.69 Kept: 31384
% 14.25/14.69 Inuse: 755
% 14.25/14.69 Deleted: 424
% 14.25/14.69 Deletedinuse: 2
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 14.25/14.69 Generated: 95102
% 14.25/14.69 Kept: 33423
% 14.25/14.69 Inuse: 809
% 14.25/14.69 Deleted: 425
% 14.25/14.69 Deletedinuse: 2
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69 Resimplifying inuse:
% 14.25/14.69 Done
% 14.25/14.69
% 14.25/14.69
% 14.25/14.69 Intermediate Status:
% 42.56/42.93 Generated: 103829
% 42.56/42.93 Kept: 35638
% 42.56/42.93 Inuse: 859
% 42.56/42.93 Deleted: 425
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 109526
% 42.56/42.93 Kept: 38087
% 42.56/42.93 Inuse: 887
% 42.56/42.93 Deleted: 425
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying clauses:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 115193
% 42.56/42.93 Kept: 40101
% 42.56/42.93 Inuse: 922
% 42.56/42.93 Deleted: 1165
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 126803
% 42.56/42.93 Kept: 43101
% 42.56/42.93 Inuse: 954
% 42.56/42.93 Deleted: 1165
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 140807
% 42.56/42.93 Kept: 45737
% 42.56/42.93 Inuse: 964
% 42.56/42.93 Deleted: 1165
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 148889
% 42.56/42.93 Kept: 47753
% 42.56/42.93 Inuse: 970
% 42.56/42.93 Deleted: 1165
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 162659
% 42.56/42.93 Kept: 50181
% 42.56/42.93 Inuse: 979
% 42.56/42.93 Deleted: 1165
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 169053
% 42.56/42.93 Kept: 52217
% 42.56/42.93 Inuse: 999
% 42.56/42.93 Deleted: 1165
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 175815
% 42.56/42.93 Kept: 54275
% 42.56/42.93 Inuse: 1019
% 42.56/42.93 Deleted: 1165
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 183182
% 42.56/42.93 Kept: 56298
% 42.56/42.93 Inuse: 1054
% 42.56/42.93 Deleted: 1165
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 192062
% 42.56/42.93 Kept: 58463
% 42.56/42.93 Inuse: 1074
% 42.56/42.93 Deleted: 1165
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying clauses:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 200931
% 42.56/42.93 Kept: 60500
% 42.56/42.93 Inuse: 1089
% 42.56/42.93 Deleted: 1301
% 42.56/42.93 Deletedinuse: 2
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 212842
% 42.56/42.93 Kept: 63364
% 42.56/42.93 Inuse: 1104
% 42.56/42.93 Deleted: 1302
% 42.56/42.93 Deletedinuse: 3
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 220281
% 42.56/42.93 Kept: 66050
% 42.56/42.93 Inuse: 1119
% 42.56/42.93 Deleted: 1302
% 42.56/42.93 Deletedinuse: 3
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 228420
% 42.56/42.93 Kept: 68083
% 42.56/42.93 Inuse: 1144
% 42.56/42.93 Deleted: 1302
% 42.56/42.93 Deletedinuse: 3
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 237846
% 42.56/42.93 Kept: 70141
% 42.56/42.93 Inuse: 1179
% 42.56/42.93 Deleted: 1305
% 42.56/42.93 Deletedinuse: 6
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 252524
% 42.56/42.93 Kept: 72478
% 42.56/42.93 Inuse: 1204
% 42.56/42.93 Deleted: 1305
% 42.56/42.93 Deletedinuse: 6
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 261803
% 42.56/42.93 Kept: 74486
% 42.56/42.93 Inuse: 1238
% 42.56/42.93 Deleted: 1305
% 42.56/42.93 Deletedinuse: 6
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 270570
% 42.56/42.93 Kept: 76715
% 42.56/42.93 Inuse: 1269
% 42.56/42.93 Deleted: 1305
% 42.56/42.93 Deletedinuse: 6
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 279729
% 42.56/42.93 Kept: 78781
% 42.56/42.93 Inuse: 1298
% 42.56/42.93 Deleted: 1307
% 42.56/42.93 Deletedinuse: 7
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying clauses:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 288321
% 42.56/42.93 Kept: 80814
% 42.56/42.93 Inuse: 1328
% 42.56/42.93 Deleted: 1869
% 42.56/42.93 Deletedinuse: 7
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 298711
% 42.56/42.93 Kept: 82948
% 42.56/42.93 Inuse: 1363
% 42.56/42.93 Deleted: 1869
% 42.56/42.93 Deletedinuse: 7
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 308390
% 42.56/42.93 Kept: 85027
% 42.56/42.93 Inuse: 1393
% 42.56/42.93 Deleted: 1869
% 42.56/42.93 Deletedinuse: 7
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 321875
% 42.56/42.93 Kept: 87064
% 42.56/42.93 Inuse: 1448
% 42.56/42.93 Deleted: 1870
% 42.56/42.93 Deletedinuse: 8
% 42.56/42.93
% 42.56/42.93
% 42.56/42.93 Intermediate Status:
% 42.56/42.93 Generated: 328175
% 42.56/42.93 Kept: 89390
% 42.56/42.93 Inuse: 1456
% 42.56/42.93 Deleted: 1870
% 42.56/42.93 Deletedinuse: 8
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 42.56/42.93 Done
% 42.56/42.93
% 42.56/42.93 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 334267
% 88.06/88.42 Kept: 91481
% 88.06/88.42 Inuse: 1473
% 88.06/88.42 Deleted: 1871
% 88.06/88.42 Deletedinuse: 9
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 343181
% 88.06/88.42 Kept: 93868
% 88.06/88.42 Inuse: 1498
% 88.06/88.42 Deleted: 1871
% 88.06/88.42 Deletedinuse: 9
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 352149
% 88.06/88.42 Kept: 96105
% 88.06/88.42 Inuse: 1523
% 88.06/88.42 Deleted: 1871
% 88.06/88.42 Deletedinuse: 9
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 361799
% 88.06/88.42 Kept: 98706
% 88.06/88.42 Inuse: 1538
% 88.06/88.42 Deleted: 1871
% 88.06/88.42 Deletedinuse: 9
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying clauses:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 370268
% 88.06/88.42 Kept: 100848
% 88.06/88.42 Inuse: 1548
% 88.06/88.42 Deleted: 2247
% 88.06/88.42 Deletedinuse: 9
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 378956
% 88.06/88.42 Kept: 102859
% 88.06/88.42 Inuse: 1577
% 88.06/88.42 Deleted: 2249
% 88.06/88.42 Deletedinuse: 11
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 386350
% 88.06/88.42 Kept: 104866
% 88.06/88.42 Inuse: 1602
% 88.06/88.42 Deleted: 2249
% 88.06/88.42 Deletedinuse: 11
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 394982
% 88.06/88.42 Kept: 106879
% 88.06/88.42 Inuse: 1637
% 88.06/88.42 Deleted: 2249
% 88.06/88.42 Deletedinuse: 11
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 406522
% 88.06/88.42 Kept: 108898
% 88.06/88.42 Inuse: 1663
% 88.06/88.42 Deleted: 2249
% 88.06/88.42 Deletedinuse: 11
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 419276
% 88.06/88.42 Kept: 111196
% 88.06/88.42 Inuse: 1703
% 88.06/88.42 Deleted: 2250
% 88.06/88.42 Deletedinuse: 12
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 432503
% 88.06/88.42 Kept: 113219
% 88.06/88.42 Inuse: 1748
% 88.06/88.42 Deleted: 2251
% 88.06/88.42 Deletedinuse: 13
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 441618
% 88.06/88.42 Kept: 115452
% 88.06/88.42 Inuse: 1772
% 88.06/88.42 Deleted: 2252
% 88.06/88.42 Deletedinuse: 13
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 458956
% 88.06/88.42 Kept: 119138
% 88.06/88.42 Inuse: 1812
% 88.06/88.42 Deleted: 2252
% 88.06/88.42 Deletedinuse: 13
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying clauses:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 469984
% 88.06/88.42 Kept: 121144
% 88.06/88.42 Inuse: 1848
% 88.06/88.42 Deleted: 3328
% 88.06/88.42 Deletedinuse: 13
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 484045
% 88.06/88.42 Kept: 123734
% 88.06/88.42 Inuse: 1873
% 88.06/88.42 Deleted: 3333
% 88.06/88.42 Deletedinuse: 14
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 494283
% 88.06/88.42 Kept: 126148
% 88.06/88.42 Inuse: 1906
% 88.06/88.42 Deleted: 3335
% 88.06/88.42 Deletedinuse: 14
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 504771
% 88.06/88.42 Kept: 128331
% 88.06/88.42 Inuse: 1936
% 88.06/88.42 Deleted: 3335
% 88.06/88.42 Deletedinuse: 14
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 550033
% 88.06/88.42 Kept: 133984
% 88.06/88.42 Inuse: 1956
% 88.06/88.42 Deleted: 3335
% 88.06/88.42 Deletedinuse: 14
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 559160
% 88.06/88.42 Kept: 136391
% 88.06/88.42 Inuse: 1961
% 88.06/88.42 Deleted: 3335
% 88.06/88.42 Deletedinuse: 14
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 568392
% 88.06/88.42 Kept: 138800
% 88.06/88.42 Inuse: 1966
% 88.06/88.42 Deleted: 3335
% 88.06/88.42 Deletedinuse: 14
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying clauses:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 580514
% 88.06/88.42 Kept: 141108
% 88.06/88.42 Inuse: 1996
% 88.06/88.42 Deleted: 3862
% 88.06/88.42 Deletedinuse: 14
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 599183
% 88.06/88.42 Kept: 143648
% 88.06/88.42 Inuse: 2025
% 88.06/88.42 Deleted: 3866
% 88.06/88.42 Deletedinuse: 17
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 609152
% 88.06/88.42 Kept: 145957
% 88.06/88.42 Inuse: 2030
% 88.06/88.42 Deleted: 3866
% 88.06/88.42 Deletedinuse: 17
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 619405
% 88.06/88.42 Kept: 148317
% 88.06/88.42 Inuse: 2035
% 88.06/88.42 Deleted: 3866
% 88.06/88.42 Deletedinuse: 17
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42 Resimplifying inuse:
% 88.06/88.42 Done
% 88.06/88.42
% 88.06/88.42
% 88.06/88.42 Intermediate Status:
% 88.06/88.42 Generated: 629663
% 229.84/230.26 Kept: 150619
% 229.84/230.26 Inuse: 2060
% 229.84/230.26 Deleted: 3866
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 641665
% 229.84/230.26 Kept: 152993
% 229.84/230.26 Inuse: 2090
% 229.84/230.26 Deleted: 3866
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 649711
% 229.84/230.26 Kept: 155007
% 229.84/230.26 Inuse: 2105
% 229.84/230.26 Deleted: 3866
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 658941
% 229.84/230.26 Kept: 157565
% 229.84/230.26 Inuse: 2125
% 229.84/230.26 Deleted: 3866
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 669097
% 229.84/230.26 Kept: 160061
% 229.84/230.26 Inuse: 2130
% 229.84/230.26 Deleted: 3866
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying clauses:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 677716
% 229.84/230.26 Kept: 162068
% 229.84/230.26 Inuse: 2152
% 229.84/230.26 Deleted: 4511
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 686524
% 229.84/230.26 Kept: 164075
% 229.84/230.26 Inuse: 2172
% 229.84/230.26 Deleted: 4511
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 695203
% 229.84/230.26 Kept: 166088
% 229.84/230.26 Inuse: 2190
% 229.84/230.26 Deleted: 4511
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 708073
% 229.84/230.26 Kept: 169072
% 229.84/230.26 Inuse: 2200
% 229.84/230.26 Deleted: 4511
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 717684
% 229.84/230.26 Kept: 171112
% 229.84/230.26 Inuse: 2220
% 229.84/230.26 Deleted: 4511
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 728025
% 229.84/230.26 Kept: 173508
% 229.84/230.26 Inuse: 2240
% 229.84/230.26 Deleted: 4511
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 740115
% 229.84/230.26 Kept: 176588
% 229.84/230.26 Inuse: 2250
% 229.84/230.26 Deleted: 4511
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 756107
% 229.84/230.26 Kept: 180727
% 229.84/230.26 Inuse: 2275
% 229.84/230.26 Deleted: 4511
% 229.84/230.26 Deletedinuse: 17
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 766662
% 229.84/230.26 Kept: 183456
% 229.84/230.26 Inuse: 2280
% 229.84/230.26 Deleted: 4512
% 229.84/230.26 Deletedinuse: 18
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying clauses:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 780397
% 229.84/230.26 Kept: 186404
% 229.84/230.26 Inuse: 2295
% 229.84/230.26 Deleted: 4787
% 229.84/230.26 Deletedinuse: 18
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 796361
% 229.84/230.26 Kept: 189972
% 229.84/230.26 Inuse: 2315
% 229.84/230.26 Deleted: 4788
% 229.84/230.26 Deletedinuse: 19
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 820411
% 229.84/230.26 Kept: 195420
% 229.84/230.26 Inuse: 2335
% 229.84/230.26 Deleted: 4788
% 229.84/230.26 Deletedinuse: 19
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 839663
% 229.84/230.26 Kept: 200030
% 229.84/230.26 Inuse: 2340
% 229.84/230.26 Deleted: 4788
% 229.84/230.26 Deletedinuse: 19
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 859022
% 229.84/230.26 Kept: 204544
% 229.84/230.26 Inuse: 2345
% 229.84/230.26 Deleted: 4788
% 229.84/230.26 Deletedinuse: 19
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying clauses:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 869440
% 229.84/230.26 Kept: 206579
% 229.84/230.26 Inuse: 2370
% 229.84/230.26 Deleted: 4889
% 229.84/230.26 Deletedinuse: 19
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 880731
% 229.84/230.26 Kept: 208874
% 229.84/230.26 Inuse: 2385
% 229.84/230.26 Deleted: 4889
% 229.84/230.26 Deletedinuse: 19
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 895186
% 229.84/230.26 Kept: 212334
% 229.84/230.26 Inuse: 2395
% 229.84/230.26 Deleted: 4889
% 229.84/230.26 Deletedinuse: 19
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 907660
% 229.84/230.26 Kept: 215212
% 229.84/230.26 Inuse: 2400
% 229.84/230.26 Deleted: 4889
% 229.84/230.26 Deletedinuse: 19
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 921220
% 229.84/230.26 Kept: 217562
% 229.84/230.26 Inuse: 2420
% 229.84/230.26 Deleted: 4889
% 229.84/230.26 Deletedinuse: 19
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 931691
% 229.84/230.26 Kept: 219864
% 229.84/230.26 Inuse: 2435
% 229.84/230.26 Deleted: 4889
% 229.84/230.26 Deletedinuse: 19
% 229.84/230.26
% 229.84/230.26 Resimplifying inuse:
% 229.84/230.26 Done
% 229.84/230.26
% 229.84/230.26
% 229.84/230.26 Intermediate Status:
% 229.84/230.26 Generated: 941856Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------