TSTP Solution File: SWV669-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV669-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:39 EDT 2022
% Result : Timeout 300.06s 300.54s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SWV669-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.10 % Command : bliksem %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % DateTime : Tue Jun 14 22:48:43 EDT 2022
% 0.10/0.29 % CPUTime :
% 1.11/1.48 *** allocated 10000 integers for termspace/termends
% 1.11/1.48 *** allocated 10000 integers for clauses
% 1.11/1.48 *** allocated 10000 integers for justifications
% 1.11/1.48 *** allocated 15000 integers for termspace/termends
% 1.11/1.48 *** allocated 22500 integers for termspace/termends
% 1.11/1.48 *** allocated 33750 integers for termspace/termends
% 1.11/1.48 Bliksem 1.12
% 1.11/1.48
% 1.11/1.48
% 1.11/1.48 Automatic Strategy Selection
% 1.11/1.48
% 1.11/1.48 Clauses:
% 1.11/1.48 [
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 X ) ) ), =( Y, Z ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.11/1.48 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.48 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.48 , Y ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.11/1.48 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.11/1.48 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.11/1.48 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.11/1.48 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.11/1.48 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.11/1.48 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.11/1.48 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.11/1.48 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.11/1.48 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.48 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.48 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.11/1.48 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ), Y ) ],
% 1.11/1.48 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ), Y ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ), Y ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 X ) ) ), =( Y, Z ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.48 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.48 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.11/1.48 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.11/1.48 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.11/1.48 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.48 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.11/1.48 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.11/1.48 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.11/1.48 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.48 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.11/1.48 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.48 T, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.48 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.11/1.48 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.48 T, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.48 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.11/1.48 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.48 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.11/1.48 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.11/1.48 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.11/1.48 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.11/1.48 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.11/1.48 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.48 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.48 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.48 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_nat' ) ), Y ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.11/1.48 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.11/1.48 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.11/1.48 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.11/1.48 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.11/1.48 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.11/1.48 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.11/1.48 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), Y ) ), Z ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.11/1.48 Y ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.11/1.48 Y ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.11/1.48 Y ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.11/1.48 Y ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.11/1.48 Y ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.11/1.48 Y ) ],
% 1.11/1.48 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.11/1.48 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.11/1.48 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.11/1.48 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.48 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.11/1.48 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.11/1.48 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.11/1.48 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.48 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.11/1.48 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.11/1.48 ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.11/1.48 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.11/1.48 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 X ), Z ), U ) ), W ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.11/1.48 ), W, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.11/1.48 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.48 X ), Z ), T ) ), W ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.11/1.48 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.11/1.48 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.11/1.48 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.48 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.11/1.48 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.11/1.48 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.48 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.11/1.48 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.11/1.48 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.11/1.48 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.11/1.48 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.48 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.48 T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.11/1.48 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.11/1.48 ), Y ) ), Z ) ), Z ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.11/1.48 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.11/1.48 'c_lessequals'( Z, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.48 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.11/1.48 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.11/1.48 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.11/1.48 'c_lessequals'( Z, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.48 X ), Y ), Z ) ), Z ), Y ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.48 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.11/1.48 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.48 X ), Y ), Z ) ), Z ), Y ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.11/1.48 Z, 'tc_nat' ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.11/1.48 Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.48 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.48 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.11/1.48 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.11/1.48 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.11/1.48 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.48 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.11/1.48 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_nat' ) ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.11/1.48 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_nat' ) ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.11/1.48 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.48 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.11/1.48 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.48 , Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.11/1.48 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.11/1.48 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.11/1.48 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.11/1.48 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.48 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.48 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.11/1.48 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.11/1.48 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.48 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.11/1.48 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.48 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.48 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.11/1.48 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.11/1.48 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.11/1.48 ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.11/1.48 , X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.11/1.48 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.11/1.48 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.11/1.48 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.48 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.11/1.48 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.11/1.48 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.11/1.48 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.11/1.48 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.48 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.48 ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.11/1.48 ), =( Z, Y ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.11/1.48 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.48 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.48 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.48 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.11/1.48 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.48 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.11/1.48 , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.11/1.48 ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.11/1.48 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 1.11/1.48 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.11/1.48 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.11/1.48 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.11/1.48 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.11/1.48 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.11/1.48 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.11/1.48 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.48 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.48 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.48 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.11/1.48 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.11/1.48 ,
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.48 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.11/1.48 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.48 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.48 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.11/1.48 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 1.11/1.48 'tc_nat' ), 'tc_nat' ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.11/1.48 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.11/1.48 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.11/1.48 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.11/1.48 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.11/1.48 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.11/1.48 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.11/1.48 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.11/1.48 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.11/1.48 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.11/1.48 , V0, U, V1 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.11/1.48 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.11/1.48 , V0, U, V1 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.11/1.48 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.11/1.48 X, T, U, Y, W, V0 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.11/1.48 X, T, U, Z, W, V0 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.11/1.48 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.11/1.48 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.11/1.48 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.11/1.48 T, X, U, Y, W, V0 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.11/1.48 T, X, U, Z, W, V0 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.11/1.48 T, X, U, W, Y, V0 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.11/1.48 T, X, U, W, Z, V0 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.11/1.48 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.11/1.48 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.11/1.48 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.11/1.48 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.11/1.48 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.11/1.48 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.11/1.48 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.11/1.48 , V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.11/1.48 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.11/1.48 W, V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.11/1.48 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.11/1.48 , V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.11/1.48 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.11/1.48 W, V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.11/1.48 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.11/1.48 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.11/1.48 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.11/1.48 W, V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.11/1.48 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.11/1.48 W, V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.11/1.48 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.11/1.48 , V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.11/1.48 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.11/1.48 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.11/1.48 , V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.11/1.48 X, T, U, Y, W, V0 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.11/1.48 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.11/1.48 , V0, V1, V2 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.11/1.48 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.11/1.48 T, X, U, Y, W, V0 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.11/1.48 T, X, U, W, Y, V0 ) ) ],
% 1.11/1.48 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.11/1.48 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.11/1.48 , V0, V1, V2 ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.11/1.48 ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.11/1.48 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.48 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.48 X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.48 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.48 , X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.48 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.11/1.48 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.48 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.48 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.48 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.11/1.48 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.11/1.48 ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.48 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.48 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.48 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.48 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.48 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.48 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.48 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.11/1.49 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.11/1.49 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.11/1.49 ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.11/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.11/1.49 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.11/1.49 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.11/1.49 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.11/1.49 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.49 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.11/1.49 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.11/1.49 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.11/1.49 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.11/1.49 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.11/1.49 ), 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.11/1.49 ), 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.11/1.49 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.49 Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 Y, Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.49 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ), X, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.11/1.49 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.11/1.49 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.11/1.49 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.11/1.49 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.11/1.49 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 1.11/1.49 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.11/1.49 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 1.11/1.49 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.11/1.49 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.49 'tc_nat' ), X ), Y ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.11/1.49 , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.11/1.49 ), T ), U ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.11/1.49 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.11/1.49 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.11/1.49 ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.11/1.49 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.11/1.49 V0, V1 ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.11/1.49 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.11/1.49 V0, V1 ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.11/1.49 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.11/1.49 , V0, V1 ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.11/1.49 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.11/1.49 , V0, V1 ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 1.11/1.49 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.11/1.49 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.11/1.49 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 'tc_nat' ) ), Y ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 'tc_nat' ) ), Y ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.11/1.49 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.49 ), Y ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.11/1.49 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.11/1.49 ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.11/1.49 , Z ), Y ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.11/1.49 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.11/1.49 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.11/1.49 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.11/1.49 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 X, T, 'tc_nat' ) ],
% 1.11/1.49 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.11/1.49 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.11/1.49 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.11/1.49 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.11/1.49 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.11/1.49 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.11/1.49 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.11/1.49 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.11/1.49 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.11/1.49 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.11/1.49 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.11/1.49 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.49 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.11/1.49 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.49 'tc_nat' ), X ), Y ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.11/1.49 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.11/1.49 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.11/1.49 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.11/1.49 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.49 X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.11/1.49 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.11/1.49 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.11/1.49 X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.11/1.49 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.11/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.11/1.49 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.11/1.49 , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.49 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.11/1.49 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' )
% 1.11/1.49 ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.49 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.11/1.49 , X ) ) ],
% 1.11/1.49 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.49 , Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.49 , Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.49 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.11/1.49 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), X ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ),
% 1.11/1.49 ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), X ) ) ],
% 1.11/1.49 [ =( X, hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.49 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.11/1.49 , X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.11/1.49 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.11/1.49 , T ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.11/1.49 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.49 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.49 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.49 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.11/1.49 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.11/1.49 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.11/1.49 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.49 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.49 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat'
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.11/1.49 , X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.49 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.11/1.49 , X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.11/1.49 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.49 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.11/1.49 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.11/1.49 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.11/1.49 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.11/1.49 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.49 ), Y ) ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.49 'tc_nat' ), X ), Y ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.11/1.49 Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.11/1.49 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.49 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.11/1.49 'c_lessequals'( Z, Y, X ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.49 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.11/1.49 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.11/1.49 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.11/1.49 X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.11/1.49 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.11/1.49 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.11/1.49 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.11/1.49 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.11/1.49 ), Z ), Y ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.11/1.49 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.11/1.49 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.11/1.49 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.11/1.49 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.11/1.49 , X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.11/1.49 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.11/1.49 , T ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.11/1.49 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.11/1.49 X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.11/1.49 ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.11/1.49 Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.11/1.49 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.11/1.49 , X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.11/1.49 ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.11/1.49 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.11/1.49 X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.11/1.49 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), Y ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.11/1.49 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.11/1.49 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.11/1.49 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.11/1.49 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.11/1.49 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 , Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.11/1.49 Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.11/1.49 , Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.11/1.49 ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.11/1.49 ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.49 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.11/1.49 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.49 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.49 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.49 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.11/1.49 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.11/1.49 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.11/1.49 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.11/1.49 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.11/1.49 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.49 ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.11/1.49 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.11/1.49 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.11/1.49 ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.49 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.11/1.49 ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.11/1.49 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.11/1.49 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.11/1.49 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.11/1.49 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.11/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.11/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.11/1.49 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.11/1.49 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.11/1.49 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Z ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Z ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.11/1.49 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.11/1.49 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.11/1.49 ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.11/1.49 ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.49 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.11/1.49 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.11/1.49 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.11/1.49 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.49 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.49 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.11/1.49 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.49 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.49 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.49 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.11/1.49 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.11/1.49 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.11/1.49 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.11/1.49 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.11/1.49 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.11/1.49 ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), T ), Z ) ), U ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.11/1.49 ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.11/1.49 Y ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.49 ) ), Z ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.11/1.49 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.11/1.49 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.11/1.49 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.11/1.49 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), Y ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.11/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.11/1.49 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.49 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.11/1.49 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.49 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.11/1.49 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.49 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.11/1.49 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.49 ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.49 ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 , X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.11/1.49 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.11/1.49 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.11/1.49 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.11/1.49 ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.11/1.49 ), Z ) ), T ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.49 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.11/1.49 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.11/1.49 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.11/1.49 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.11/1.49 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.11/1.49 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.11/1.49 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.11/1.49 ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.11/1.49 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.11/1.49 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.11/1.49 , X ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.11/1.49 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.11/1.49 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.11/1.49 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.11/1.49 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.49 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.11/1.49 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.11/1.49 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.11/1.49 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.49 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.49 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.49 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.49 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.11/1.49 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.11/1.49 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.11/1.49 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.11/1.49 , X, Z, U, W, V0 ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.11/1.49 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.11/1.49 , X ) ), hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.11/1.49 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.11/1.49 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.11/1.49 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.11/1.49 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.11/1.49 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.11/1.49 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), 'c_Finite__Set_Osetsum'(
% 1.11/1.49 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.11/1.49 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.11/1.49 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ),
% 1.11/1.49 'tc_nat', X ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.11/1.49 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.49 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.49 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.49 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.49 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 1.11/1.49 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 1.11/1.49 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.11/1.49 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.11/1.49 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.11/1.49 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.11/1.49 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBS'(
% 1.11/1.49 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.11/1.49 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.11/1.49 , Y ), 'tc_nat', X, X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), T ), 'tc_nat', X, X ),
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ), 'c_Finite__Set_Osetsum'(
% 1.11/1.49 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.11/1.49 , 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBB'(
% 1.11/1.49 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.11/1.49 , 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.11/1.49 'tc_nat', X, X ), 'tc_nat', X, X ),
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.11/1.49 ), Y ), Y ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.11/1.49 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.11/1.49 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.49 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.49 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.11/1.49 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.11/1.49 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), T ), Z ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), T ), Z ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.11/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.11/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.11/1.49 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.11/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.11/1.49 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.49 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.11/1.49 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.11/1.49 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 1.11/1.49 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.11/1.49 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.11/1.49 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.11/1.49 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.11/1.49 ), 'tc_nat' ) ) ],
% 1.11/1.49 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.11/1.49 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.11/1.49 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.11/1.49 , 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.11/1.49 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.11/1.49 , 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.11/1.49 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.11/1.49 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.11/1.49 ) ), Z ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.11/1.49 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.11/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.11/1.49 , Y, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.11/1.49 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.11/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.11/1.49 , X, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.11/1.49 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.11/1.49 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.11/1.49 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.11/1.49 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.11/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.11/1.49 , X, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.11/1.49 ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.11/1.49 ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.11/1.49 'tc_nat' ) ), =( Y, Z ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.11/1.49 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.11/1.49 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.11/1.49 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 1.11/1.49 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 'v_m', 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.11/1.49 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.11/1.49 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.11/1.49 X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.11/1.49 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 1.11/1.49 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.11/1.49 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.11/1.49 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.11/1.49 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T,
% 1.11/1.49 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.11/1.49 ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.49 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.11/1.49 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.11/1.49 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X,
% 1.11/1.49 'tc_nat', 'tc_nat' ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.49 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.11/1.49 hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.11/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.11/1.49 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.49 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.11/1.49 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.11/1.49 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.11/1.49 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.11/1.49 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.11/1.49 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.11/1.49 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.11/1.49 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.11/1.49 'tc_nat', X ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.11/1.49 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.11/1.49 , Z ), 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.11/1.49 'tc_nat', X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.11/1.49 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.11/1.49 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.11/1.49 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.11/1.49 , X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_Finite__Set_Osetsum'(
% 1.11/1.49 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.11/1.49 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.11/1.49 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.11/1.49 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.11/1.49 'tc_nat', X ) ) ) ],
% 1.11/1.49 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.11/1.49 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.11/1.49 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.11/1.49 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.11/1.49 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.11/1.49 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.11/1.49 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.11/1.49 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.11/1.49 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.11/1.49 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.11/1.49 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.11/1.49 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.11/1.49 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.11/1.49 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.11/1.49 ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.11/1.49 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.49 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , X ) ), Z ) ), Z ) ) ],
% 1.11/1.49 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.11/1.49 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.11/1.49 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.49 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.11/1.49 ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.11/1.49 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), Y ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OPls', X ) ), Y ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.11/1.49 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.11/1.49 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.11/1.49 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.11/1.49 X ), Z, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.11/1.49 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.11/1.49 X ), Z, T, X ) ) ],
% 1.11/1.49 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.11/1.49 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.11/1.49 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.49 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), Y ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.11/1.49 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.11/1.49 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.11/1.49 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.11/1.49 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.11/1.49 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.49 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.11/1.49 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.11/1.49 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.49 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.11/1.49 ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.11/1.49 ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.49 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.49 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.11/1.49 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.11/1.49 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.11/1.49 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.11/1.49 'c_Suc', Y ) ) ) ],
% 1.11/1.49 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.11/1.49 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.11/1.49 ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.11/1.49 , Y ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.11/1.49 , Y ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.11/1.49 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.49 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.11/1.49 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 'tc_nat' ), Y ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.11/1.49 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.11/1.49 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), X ), Y ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.11/1.49 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 'tc_nat' ), X ), Y ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.11/1.49 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.11/1.49 , X ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.11/1.49 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.11/1.49 X, X ), Z, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.11/1.49 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.11/1.49 X, X ), Z, T, X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.11/1.49 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.11/1.49 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.11/1.49 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.11/1.49 ), Y ) ) ],
% 1.11/1.49 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.11/1.49 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.11/1.49 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.11/1.49 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.11/1.49 , Z ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.11/1.49 , Z ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.49 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.11/1.49 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.49 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.11/1.49 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.11/1.49 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.11/1.49 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.11/1.49 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ) ) ],
% 1.11/1.49 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.49 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.11/1.49 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.11/1.49 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.11/1.49 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.11/1.49 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.11/1.49 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.11/1.49 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.49 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.49 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.49 ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.11/1.49 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.11/1.49 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.49 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.11/1.49 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.11/1.49 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.11/1.49 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.49 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.11/1.49 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.11/1.49 , Y ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.11/1.49 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.11/1.49 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.11/1.49 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.49 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.49 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.49 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.11/1.49 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.11/1.49 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.49 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.11/1.49 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), T ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.11/1.49 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), T ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.11/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.49 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.11/1.49 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.11/1.49 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.11/1.49 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.11/1.49 , W ) ) ) ],
% 1.11/1.49 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.11/1.49 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.11/1.49 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.11/1.49 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.11/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.11/1.49 , X ) ), T ) ) ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.11/1.49 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.11/1.49 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.11/1.49 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.11/1.49 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.49 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.11/1.49 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.49 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.11/1.49 ,
% 1.11/1.49 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.11/1.49 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.11/1.49 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.11/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.11/1.49 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.50 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.11/1.50 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.50 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.11/1.50 ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.11/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.11/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.50 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.11/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.50 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.50 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.50 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.50 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.50 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.11/1.50 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.11/1.50 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.11/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.11/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.11/1.50 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.11/1.50 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.11/1.50 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.11/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.11/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.11/1.50 'tc_nat' ), X ), X ) ) ],
% 1.11/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.11/1.50 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.11/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.11/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.50 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.11/1.50 , Y ) ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.11/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.11/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.11/1.50 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.11/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.11/1.50 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.50 Y ) ],
% 1.11/1.50 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.11/1.50 Y ) ],
% 1.11/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.50 Y ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.11/1.50 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.11/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.11/1.50 Y ) ],
% 1.11/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.11/1.50 Y ) ],
% 1.11/1.50 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.11/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.11/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.11/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.11/1.50 Y ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.11/1.50 Y ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.11/1.50 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.11/1.50 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.11/1.50 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.11/1.50 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.11/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.11/1.50 ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.11/1.50 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.11/1.50 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.11/1.50 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.11/1.50 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.11/1.50 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.11/1.50 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.11/1.50 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.11/1.50 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.50 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.50 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.11/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_i' ), 'c_COMBB'( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.11/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.11/1.50 , 'tc_nat', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.11/1.50 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.11/1.50 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.50 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.11/1.50 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.11/1.50 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.11/1.50 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.11/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.11/1.50 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.11/1.50 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBC'(
% 1.11/1.50 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP(
% 1.11/1.50 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.11/1.50 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.11/1.50 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), 'v_i' ) ), 'tc_Complex_Ocomplex',
% 1.11/1.50 'tc_fun'( 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.11/1.50 hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.11/1.50 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.50 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.11/1.50 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'v_i' ),
% 1.11/1.50 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat',
% 1.11/1.50 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.11/1.50 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.11/1.50 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.50 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.11/1.50 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.50 'class_Orderings_Opreorder'( Y ) ) ],
% 1.11/1.50 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.50 'class_Orderings_Oorder'( Y ) ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.11/1.50 ],
% 1.11/1.50 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.11/1.50 ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.11/1.50 ],
% 1.11/1.50 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.11/1.50 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.11/1.50 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.11/1.50 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.11/1.50 ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.11/1.50 ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.11/1.50 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.11/1.50 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.11/1.50 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.11/1.50 ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.11/1.50 ],
% 1.11/1.50 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.11/1.50 ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.11/1.50 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.11/1.50 , W ) ) ) ],
% 1.11/1.50 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'c_fequal'( X, X, Y ) ],
% 1.11/1.50 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.11/1.50 ] .
% 1.11/1.50
% 1.11/1.50
% 1.11/1.50 percentage equality = 0.238742, percentage horn = 0.843118
% 1.11/1.50 This is a problem with some equality
% 1.11/1.50
% 1.11/1.50
% 1.11/1.50
% 1.11/1.50 Options Used:
% 1.11/1.50
% 1.11/1.50 useres = 1
% 1.11/1.50 useparamod = 1
% 1.11/1.50 useeqrefl = 1
% 1.11/1.50 useeqfact = 1
% 1.11/1.50 usefactor = 1
% 1.11/1.50 usesimpsplitting = 0
% 1.11/1.50 usesimpdemod = 5
% 1.11/1.50 usesimpres = 3
% 1.11/1.50
% 1.11/1.50 resimpinuse = 1000
% 1.11/1.50 resimpclauses = 20000
% 1.11/1.50 substype = eqrewr
% 1.11/1.50 backwardsubs = 1
% 1.11/1.50 selectoldest = 5
% 1.11/1.50
% 1.11/1.50 litorderings [0] = split
% 1.11/1.50 litorderings [1] = extend the termordering, first sorting on arguments
% 1.11/1.50
% 1.11/1.50 termordering = kbo
% 1.11/1.50
% 1.11/1.50 litapriori = 0
% 1.11/1.50 termapriori = 1
% 1.11/1.50 litaposteriori = 0
% 1.11/1.50 termaposteriori = 0
% 1.11/1.50 demodaposteriori = 0
% 1.11/1.50 ordereqreflfact = 0
% 1.11/1.50
% 1.11/1.50 litselect = negord
% 1.11/1.50
% 1.11/1.50 maxweight = 15
% 1.11/1.50 maxdepth = 30000
% 1.11/1.50 maxlength = 115
% 1.11/1.50 maxnrvars = 195
% 1.11/1.50 excuselevel = 1
% 1.11/1.50 increasemaxweight = 1
% 1.11/1.50
% 1.11/1.50 maxselected = 10000000
% 1.11/1.50 maxnrclauses = 10000000
% 1.11/1.50
% 1.11/1.50 showgenerated = 0
% 1.11/1.50 showkept = 0
% 1.11/1.50 showselected = 0
% 1.11/1.50 showdeleted = 0
% 1.11/1.50 showresimp = 1
% 1.11/1.50 showstatus = 2000
% 1.11/1.50
% 1.11/1.50 prologoutput = 1
% 1.11/1.50 nrgoals = 5000000
% 1.11/1.50 totalproof = 1
% 1.11/1.50
% 1.11/1.50 Symbols occurring in the translation:
% 1.11/1.50
% 1.11/1.50 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.11/1.50 . [1, 2] (w:1, o:148, a:1, s:1, b:0),
% 1.11/1.50 ! [4, 1] (w:0, o:72, a:1, s:1, b:0),
% 1.11/1.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.11/1.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.11/1.50 'class_OrderedGroup_Oab__group__add' [40, 1] (w:1, o:77, a:1, s:1, b:
% 1.11/1.50 0),
% 1.11/1.50 'c_HOL_Ominus__class_Ominus' [41, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.11/1.50 hAPP [43, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.11/1.50 'c_HOL_Ozero__class_Ozero' [45, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.11/1.50 'class_OrderedGroup_Ogroup__add' [46, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.11/1.50
% 1.11/1.50 'c_HOL_Ouminus__class_Ouminus' [47, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.11/1.50 'class_Ring__and__Field_Oidom' [48, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.11/1.50 'class_Int_Onumber__ring' [49, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.11/1.50 'class_Ring__and__Field_Ozero__neq__one' [51, 1] (w:1, o:85, a:1, s:1
% 1.11/1.50 , b:0),
% 1.11/1.50 'c_HOL_Oone__class_Oone' [52, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.11/1.50 'class_OrderedGroup_Oordered__ab__group__add' [53, 1] (w:1, o:87, a:1
% 1.11/1.50 , s:1, b:0),
% 1.11/1.50 'class_OrderedGroup_Opordered__ab__group__add' [54, 1] (w:1, o:88, a:
% 1.11/1.50 1, s:1, b:0),
% 1.11/1.50 'c_lessequals' [55, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.11/1.50 'c_HOL_Oord__class_Oless' [56, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.11/1.50 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [57, 1]
% 1.11/1.50 (w:1, o:89, a:1, s:1, b:0),
% 1.11/1.50 'c_HOL_Oplus__class_Oplus' [58, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.11/1.50 'class_Lattices_Oboolean__algebra' [61, 1] (w:1, o:91, a:1, s:1, b:0)
% 1.11/1.50 ,
% 1.11/1.50 'class_Ring__and__Field_Oordered__semidom' [62, 1] (w:1, o:95, a:1
% 1.11/1.50 , s:1, b:0),
% 1.11/1.50 'c_HOL_Otimes__class_Otimes' [63, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.11/1.50 'class_Ring__and__Field_Oordered__semiring__strict' [67, 1] (w:1, o:
% 1.11/1.50 96, a:1, s:1, b:0),
% 1.11/1.50 'class_Ring__and__Field_Oordered__idom' [68, 1] (w:1, o:97, a:1, s:1
% 1.11/1.50 , b:0),
% 1.11/1.50 'class_Ring__and__Field_Oordered__semiring' [69, 1] (w:1, o:98, a:1
% 1.11/1.50 , s:1, b:0),
% 1.11/1.50 'class_Ring__and__Field_Oordered__ring__strict' [70, 1] (w:1, o:94
% 1.11/1.50 , a:1, s:1, b:0),
% 1.11/1.50 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [71, 1]
% 1.11/1.50 (w:1, o:99, a:1, s:1, b:0),
% 1.11/1.50 'class_OrderedGroup_Ocomm__monoid__add' [72, 1] (w:1, o:100, a:1, s:1
% 1.11/1.50 , b:0),
% 1.11/1.50 'class_OrderedGroup_Opordered__comm__monoid__add' [73, 1] (w:1, o:101
% 1.11/1.50 , a:1, s:1, b:0),
% 1.11/1.50 'class_OrderedGroup_Olordered__ab__group__add' [74, 1] (w:1, o:102
% 1.11/1.50 , a:1, s:1, b:0),
% 1.11/1.50 'c_Power_Opower_Opower' [75, 3] (w:1, o:179, a:1, s:1, b:0),
% 1.11/1.50 'tc_nat' [76, 0] (w:1, o:30, a:1, s:1, b:0),
% 1.11/1.50 'class_Ring__and__Field_Oring' [77, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.11/1.50 'class_RealVector_Oreal__normed__algebra' [78, 1] (w:1, o:104, a:1
% 1.11/1.50 , s:1, b:0),
% 1.11/1.50 'class_OrderedGroup_Omonoid__mult' [80, 1] (w:1, o:105, a:1, s:1, b:0
% 1.11/1.50 ),
% 1.11/1.50 'class_OrderedGroup_Ocomm__monoid__mult' [81, 1] (w:1, o:106, a:1, s:
% 1.11/1.50 1, b:0),
% 1.11/1.50 'class_Ring__and__Field_Ocomm__semiring__1' [82, 1] (w:1, o:110, a:1
% 1.11/1.50 , s:1, b:0),
% 1.11/1.50 'class_Ring__and__Field_Opordered__ring' [86, 1] (w:1, o:113, a:1, s:
% 1.11/1.50 1, b:0),
% 1.11/1.50 'class_OrderedGroup_Opordered__ab__semigroup__add' [89, 1] (w:1, o:
% 1.11/1.50 114, a:1, s:1, b:0),
% 1.11/1.50 'c_Int_OMin' [90, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.11/1.50 'c_Int_Onumber__class_Onumber__of' [91, 2] (w:1, o:174, a:1, s:1, b:0
% 1.11/1.50 ),
% 1.11/1.50 'c_Parity_Oeven__odd__class_Oeven' [92, 2] (w:1, o:175, a:1, s:1, b:0
% 1.11/1.50 ),
% 1.11/1.50 'c_Power_Opower__class_Opower' [93, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.11/1.50 'class_Ring__and__Field_Oordered__field' [94, 1] (w:1, o:111, a:1, s:
% 1.11/1.50 1, b:0),
% 1.11/1.50 'class_Ring__and__Field_Odivision__by__zero' [95, 1] (w:1, o:117, a:1
% 1.11/1.50 , s:1, b:0),
% 1.11/1.50 'c_HOL_Oinverse__class_Odivide' [96, 1] (w:1, o:118, a:1, s:1, b:0),
% 5.78/6.15
% 5.78/6.15 'class_Orderings_Olinorder' [102, 1] (w:1, o:119, a:1, s:1, b:0),
% 5.78/6.15 'class_Orderings_Opreorder' [103, 1] (w:1, o:121, a:1, s:1, b:0),
% 5.78/6.15 'class_Orderings_Oorder' [104, 1] (w:1, o:120, a:1, s:1, b:0),
% 5.78/6.15 'c_Suc' [105, 0] (w:1, o:41, a:1, s:1, b:0),
% 5.78/6.15 hBOOL [107, 1] (w:1, o:122, a:1, s:1, b:0),
% 5.78/6.15 'c_Groebner__Basis_Ogb__semiring' [113, 6] (w:1, o:189, a:1, s:1, b:0
% 5.78/6.15 ),
% 5.78/6.15 'class_Ring__and__Field_Oring__1' [119, 1] (w:1, o:123, a:1, s:1, b:0
% 5.78/6.15 ),
% 5.78/6.15 'class_Power_Opower' [120, 1] (w:1, o:130, a:1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Ofield' [123, 1] (w:1, o:131, a:1, s:1, b:0)
% 5.78/6.15 ,
% 5.78/6.15 'c_Int_OBit1' [125, 1] (w:1, o:133, a:1, s:1, b:0),
% 5.78/6.15 'c_Fun_Oinj__on' [129, 4] (w:1, o:184, a:1, s:1, b:0),
% 5.78/6.15 'c_Int_OPls' [130, 0] (w:1, o:55, a:1, s:1, b:0),
% 5.78/6.15 'c_Int_OBit0' [131, 1] (w:1, o:132, a:1, s:1, b:0),
% 5.78/6.15 'class_RealVector_Oreal__normed__field' [132, 1] (w:1, o:134, a:1, s:
% 5.78/6.15 1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Ocomm__ring__1' [134, 1] (w:1, o:107, a:1, s:
% 5.78/6.15 1, b:0),
% 5.78/6.15 'c_COMBC' [135, 5] (w:1, o:187, a:1, s:1, b:0),
% 5.78/6.15 'class_Int_Onumber' [136, 1] (w:1, o:135, a:1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Oordered__comm__semiring__strict' [137, 1]
% 5.78/6.15 (w:1, o:112, a:1, s:1, b:0),
% 5.78/6.15 'c_SetInterval_Oord__class_OatLeastLessThan' [138, 3] (w:1, o:180, a:
% 5.78/6.15 1, s:1, b:0),
% 5.78/6.15 'c_Finite__Set_Osetsum' [139, 4] (w:1, o:185, a:1, s:1, b:0),
% 5.78/6.15 'c_COMBB' [141, 5] (w:1, o:186, a:1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Omult__mono1' [142, 1] (w:1, o:136, a:1, s:1
% 5.78/6.15 , b:0),
% 5.78/6.15 'class_Ring__and__Field_Omult__mono' [143, 1] (w:1, o:137, a:1, s:1
% 5.78/6.15 , b:0),
% 5.78/6.15 'class_Ring__and__Field_Opordered__cancel__semiring' [144, 1] (w:1
% 5.78/6.15 , o:138, a:1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Opordered__semiring' [145, 1] (w:1, o:139, a:
% 5.78/6.15 1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Osemiring__0' [146, 1] (w:1, o:142, a:1, s:1
% 5.78/6.15 , b:0),
% 5.78/6.15 'class_RealVector_Oreal__field' [147, 1] (w:1, o:143, a:1, s:1, b:0)
% 5.78/6.15 ,
% 5.78/6.15 'tc_fun' [149, 2] (w:1, o:176, a:1, s:1, b:0),
% 5.78/6.15 'c_COMBS' [152, 5] (w:1, o:188, a:1, s:1, b:0),
% 5.78/6.15 'tc_Complex_Ocomplex' [154, 0] (w:1, o:59, a:1, s:1, b:0),
% 5.78/6.15 'c_FFT__Mirabelle_Oroot' [155, 1] (w:1, o:144, a:1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Ocomm__ring' [156, 1] (w:1, o:108, a:1, s:1
% 5.78/6.15 , b:0),
% 5.78/6.15 'class_Ring__and__Field_Osemiring__1' [157, 1] (w:1, o:145, a:1, s:1
% 5.78/6.15 , b:0),
% 5.78/6.15 'v_m' [159, 0] (w:1, o:61, a:1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Ocomm__semiring__0' [160, 1] (w:1, o:109, a:1
% 5.78/6.15 , s:1, b:0),
% 5.78/6.15 'v_i' [161, 0] (w:1, o:62, a:1, s:1, b:0),
% 5.78/6.15 'c_FFT__Mirabelle_ODFT' [162, 3] (w:1, o:181, a:1, s:1, b:0),
% 5.78/6.15 'c_FFT__Mirabelle_OIDFT' [163, 3] (w:1, o:182, a:1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Ocomm__semiring' [164, 1] (w:1, o:116, a:1
% 5.78/6.15 , s:1, b:0),
% 5.78/6.15 'class_OrderedGroup_Oab__semigroup__mult' [165, 1] (w:1, o:124, a:1
% 5.78/6.15 , s:1, b:0),
% 5.78/6.15 'class_OrderedGroup_Oab__semigroup__idem__mult' [166, 1] (w:1, o:125
% 5.78/6.15 , a:1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Ono__zero__divisors' [167, 1] (w:1, o:93, a:1
% 5.78/6.15 , s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Omult__zero' [168, 1] (w:1, o:92, a:1, s:1
% 5.78/6.15 , b:0),
% 5.78/6.15 'class_Ring__and__Field_Oring__1__no__zero__divisors' [169, 1] (w:1
% 5.78/6.15 , o:140, a:1, s:1, b:0),
% 5.78/6.15 'class_OrderedGroup_Ocancel__ab__semigroup__add' [170, 1] (w:1, o:126
% 5.78/6.15 , a:1, s:1, b:0),
% 5.78/6.15 'class_OrderedGroup_Ocancel__semigroup__add' [171, 1] (w:1, o:127, a:
% 5.78/6.15 1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Oring__no__zero__divisors' [175, 1] (w:1, o:
% 5.78/6.15 141, a:1, s:1, b:0),
% 5.78/6.15 'class_Ring__and__Field_Osemiring' [176, 1] (w:1, o:146, a:1, s:1, b:
% 5.78/6.15 0),
% 5.78/6.15 'class_OrderedGroup_Oab__semigroup__add' [177, 1] (w:1, o:128, a:1
% 5.78/6.15 , s:1, b:0),
% 5.78/6.15 'class_Int_Oring__char__0' [181, 1] (w:1, o:147, a:1, s:1, b:0),
% 5.78/6.15 'class_OrderedGroup_Omonoid__add' [182, 1] (w:1, o:129, a:1, s:1, b:0
% 5.78/6.15 ),
% 5.78/6.15 'v_a' [183, 0] (w:1, o:66, a:1, s:1, b:0),
% 5.78/6.15 'tc_Int_Oint' [186, 0] (w:1, o:69, a:1, s:1, b:0),
% 5.78/6.15 'c_fequal' [187, 3] (w:1, o:183, a:1, s:1, b:0).
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Starting Search:
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 3144
% 24.27/24.68 Kept: 2110
% 24.27/24.68 Inuse: 106
% 24.27/24.68 Deleted: 0
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 7856
% 24.27/24.68 Kept: 4115
% 24.27/24.68 Inuse: 186
% 24.27/24.68 Deleted: 0
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 16580
% 24.27/24.68 Kept: 6612
% 24.27/24.68 Inuse: 285
% 24.27/24.68 Deleted: 1
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 21185
% 24.27/24.68 Kept: 8642
% 24.27/24.68 Inuse: 344
% 24.27/24.68 Deleted: 2
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 25248
% 24.27/24.68 Kept: 10865
% 24.27/24.68 Inuse: 360
% 24.27/24.68 Deleted: 2
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 30074
% 24.27/24.68 Kept: 12888
% 24.27/24.68 Inuse: 442
% 24.27/24.68 Deleted: 4
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 34673
% 24.27/24.68 Kept: 14909
% 24.27/24.68 Inuse: 492
% 24.27/24.68 Deleted: 4
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 39239
% 24.27/24.68 Kept: 16997
% 24.27/24.68 Inuse: 521
% 24.27/24.68 Deleted: 5
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 44600
% 24.27/24.68 Kept: 19030
% 24.27/24.68 Inuse: 606
% 24.27/24.68 Deleted: 5
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying clauses:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 52414
% 24.27/24.68 Kept: 21315
% 24.27/24.68 Inuse: 660
% 24.27/24.68 Deleted: 280
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 66259
% 24.27/24.68 Kept: 24229
% 24.27/24.68 Inuse: 675
% 24.27/24.68 Deleted: 280
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 76471
% 24.27/24.68 Kept: 26585
% 24.27/24.68 Inuse: 685
% 24.27/24.68 Deleted: 280
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 89267
% 24.27/24.68 Kept: 30612
% 24.27/24.68 Inuse: 735
% 24.27/24.68 Deleted: 280
% 24.27/24.68 Deletedinuse: 0
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 94405
% 24.27/24.68 Kept: 32708
% 24.27/24.68 Inuse: 740
% 24.27/24.68 Deleted: 281
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 98838
% 24.27/24.68 Kept: 34808
% 24.27/24.68 Inuse: 754
% 24.27/24.68 Deleted: 282
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 103829
% 24.27/24.68 Kept: 36817
% 24.27/24.68 Inuse: 777
% 24.27/24.68 Deleted: 282
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 107942
% 24.27/24.68 Kept: 38884
% 24.27/24.68 Inuse: 789
% 24.27/24.68 Deleted: 282
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying clauses:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 113938
% 24.27/24.68 Kept: 40904
% 24.27/24.68 Inuse: 816
% 24.27/24.68 Deleted: 453
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 119913
% 24.27/24.68 Kept: 42941
% 24.27/24.68 Inuse: 834
% 24.27/24.68 Deleted: 453
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 127419
% 24.27/24.68 Kept: 45077
% 24.27/24.68 Inuse: 854
% 24.27/24.68 Deleted: 453
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 136011
% 24.27/24.68 Kept: 47299
% 24.27/24.68 Inuse: 884
% 24.27/24.68 Deleted: 453
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 143755
% 24.27/24.68 Kept: 49503
% 24.27/24.68 Inuse: 919
% 24.27/24.68 Deleted: 453
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 152878
% 24.27/24.68 Kept: 51542
% 24.27/24.68 Inuse: 949
% 24.27/24.68 Deleted: 453
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 160189
% 24.27/24.68 Kept: 53547
% 24.27/24.68 Inuse: 976
% 24.27/24.68 Deleted: 453
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68
% 24.27/24.68 Intermediate Status:
% 24.27/24.68 Generated: 165751
% 24.27/24.68 Kept: 56159
% 24.27/24.68 Inuse: 989
% 24.27/24.68 Deleted: 453
% 24.27/24.68 Deletedinuse: 1
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 24.27/24.68 Done
% 24.27/24.68
% 24.27/24.68 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 178391
% 66.17/66.57 Kept: 58997
% 66.17/66.57 Inuse: 999
% 66.17/66.57 Deleted: 453
% 66.17/66.57 Deletedinuse: 1
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying clauses:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 187957
% 66.17/66.57 Kept: 61133
% 66.17/66.57 Inuse: 1029
% 66.17/66.57 Deleted: 770
% 66.17/66.57 Deletedinuse: 2
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 196786
% 66.17/66.57 Kept: 63534
% 66.17/66.57 Inuse: 1044
% 66.17/66.57 Deleted: 771
% 66.17/66.57 Deletedinuse: 3
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 204913
% 66.17/66.57 Kept: 66410
% 66.17/66.57 Inuse: 1049
% 66.17/66.57 Deleted: 771
% 66.17/66.57 Deletedinuse: 3
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 211572
% 66.17/66.57 Kept: 68457
% 66.17/66.57 Inuse: 1079
% 66.17/66.57 Deleted: 772
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 220956
% 66.17/66.57 Kept: 71610
% 66.17/66.57 Inuse: 1099
% 66.17/66.57 Deleted: 772
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 228073
% 66.17/66.57 Kept: 73621
% 66.17/66.57 Inuse: 1134
% 66.17/66.57 Deleted: 772
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 235250
% 66.17/66.57 Kept: 75638
% 66.17/66.57 Inuse: 1168
% 66.17/66.57 Deleted: 772
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 243602
% 66.17/66.57 Kept: 77847
% 66.17/66.57 Inuse: 1199
% 66.17/66.57 Deleted: 772
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 251159
% 66.17/66.57 Kept: 79858
% 66.17/66.57 Inuse: 1223
% 66.17/66.57 Deleted: 772
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying clauses:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 256708
% 66.17/66.57 Kept: 81864
% 66.17/66.57 Inuse: 1235
% 66.17/66.57 Deleted: 1352
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 265168
% 66.17/66.57 Kept: 83927
% 66.17/66.57 Inuse: 1274
% 66.17/66.57 Deleted: 1352
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 274422
% 66.17/66.57 Kept: 85952
% 66.17/66.57 Inuse: 1309
% 66.17/66.57 Deleted: 1352
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 284338
% 66.17/66.57 Kept: 88229
% 66.17/66.57 Inuse: 1344
% 66.17/66.57 Deleted: 1352
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 293019
% 66.17/66.57 Kept: 90501
% 66.17/66.57 Inuse: 1379
% 66.17/66.57 Deleted: 1352
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 307538
% 66.17/66.57 Kept: 92727
% 66.17/66.57 Inuse: 1394
% 66.17/66.57 Deleted: 1352
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 317157
% 66.17/66.57 Kept: 95055
% 66.17/66.57 Inuse: 1424
% 66.17/66.57 Deleted: 1352
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 326734
% 66.17/66.57 Kept: 97357
% 66.17/66.57 Inuse: 1459
% 66.17/66.57 Deleted: 1352
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 336057
% 66.17/66.57 Kept: 99458
% 66.17/66.57 Inuse: 1489
% 66.17/66.57 Deleted: 1352
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying clauses:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 346642
% 66.17/66.57 Kept: 101517
% 66.17/66.57 Inuse: 1529
% 66.17/66.57 Deleted: 1931
% 66.17/66.57 Deletedinuse: 4
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 354671
% 66.17/66.57 Kept: 103681
% 66.17/66.57 Inuse: 1549
% 66.17/66.57 Deleted: 1933
% 66.17/66.57 Deletedinuse: 6
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 363791
% 66.17/66.57 Kept: 105919
% 66.17/66.57 Inuse: 1574
% 66.17/66.57 Deleted: 1933
% 66.17/66.57 Deletedinuse: 6
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 377947
% 66.17/66.57 Kept: 109699
% 66.17/66.57 Inuse: 1604
% 66.17/66.57 Deleted: 1937
% 66.17/66.57 Deletedinuse: 10
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57 Resimplifying inuse:
% 66.17/66.57 Done
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 385599
% 66.17/66.57 Kept: 111707
% 66.17/66.57 Inuse: 1613
% 66.17/66.57 Deleted: 1937
% 66.17/66.57 Deletedinuse: 10
% 66.17/66.57
% 66.17/66.57
% 66.17/66.57 Intermediate Status:
% 66.17/66.57 Generated: 392115
% 132.42/132.82 Kept: 113775
% 132.42/132.82 Inuse: 1629
% 132.42/132.82 Deleted: 1937
% 132.42/132.82 Deletedinuse: 10
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 400699
% 132.42/132.82 Kept: 115783
% 132.42/132.82 Inuse: 1656
% 132.42/132.82 Deleted: 1937
% 132.42/132.82 Deletedinuse: 10
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 407898
% 132.42/132.82 Kept: 118020
% 132.42/132.82 Inuse: 1674
% 132.42/132.82 Deleted: 1937
% 132.42/132.82 Deletedinuse: 10
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 415838
% 132.42/132.82 Kept: 120503
% 132.42/132.82 Inuse: 1694
% 132.42/132.82 Deleted: 1937
% 132.42/132.82 Deletedinuse: 10
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying clauses:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 424676
% 132.42/132.82 Kept: 122888
% 132.42/132.82 Inuse: 1714
% 132.42/132.82 Deleted: 2608
% 132.42/132.82 Deletedinuse: 10
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 431337
% 132.42/132.82 Kept: 125251
% 132.42/132.82 Inuse: 1734
% 132.42/132.82 Deleted: 2608
% 132.42/132.82 Deletedinuse: 10
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 444694
% 132.42/132.82 Kept: 128615
% 132.42/132.82 Inuse: 1749
% 132.42/132.82 Deleted: 2608
% 132.42/132.82 Deletedinuse: 10
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 464953
% 132.42/132.82 Kept: 130738
% 132.42/132.82 Inuse: 1758
% 132.42/132.82 Deleted: 2610
% 132.42/132.82 Deletedinuse: 11
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 475296
% 132.42/132.82 Kept: 133647
% 132.42/132.82 Inuse: 1768
% 132.42/132.82 Deleted: 2611
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 488743
% 132.42/132.82 Kept: 137682
% 132.42/132.82 Inuse: 1788
% 132.42/132.82 Deleted: 2611
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 497596
% 132.42/132.82 Kept: 140309
% 132.42/132.82 Inuse: 1793
% 132.42/132.82 Deleted: 2611
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 506464
% 132.42/132.82 Kept: 142805
% 132.42/132.82 Inuse: 1798
% 132.42/132.82 Deleted: 2611
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying clauses:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 515415
% 132.42/132.82 Kept: 145304
% 132.42/132.82 Inuse: 1803
% 132.42/132.82 Deleted: 2746
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 523988
% 132.42/132.82 Kept: 147554
% 132.42/132.82 Inuse: 1818
% 132.42/132.82 Deleted: 2746
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 531518
% 132.42/132.82 Kept: 149860
% 132.42/132.82 Inuse: 1833
% 132.42/132.82 Deleted: 2746
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 539171
% 132.42/132.82 Kept: 152361
% 132.42/132.82 Inuse: 1848
% 132.42/132.82 Deleted: 2746
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 547140
% 132.42/132.82 Kept: 154549
% 132.42/132.82 Inuse: 1863
% 132.42/132.82 Deleted: 2746
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 556079
% 132.42/132.82 Kept: 156580
% 132.42/132.82 Inuse: 1878
% 132.42/132.82 Deleted: 2746
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 587658
% 132.42/132.82 Kept: 161583
% 132.42/132.82 Inuse: 1883
% 132.42/132.82 Deleted: 2746
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying clauses:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 594198
% 132.42/132.82 Kept: 163980
% 132.42/132.82 Inuse: 1898
% 132.42/132.82 Deleted: 2935
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 601657
% 132.42/132.82 Kept: 166002
% 132.42/132.82 Inuse: 1916
% 132.42/132.82 Deleted: 2935
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 609095
% 132.42/132.82 Kept: 168106
% 132.42/132.82 Inuse: 1933
% 132.42/132.82 Deleted: 2935
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 617601
% 132.42/132.82 Kept: 170219
% 132.42/132.82 Inuse: 1953
% 132.42/132.82 Deleted: 2935
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 625625
% 132.42/132.82 Kept: 172234
% 132.42/132.82 Inuse: 1972
% 132.42/132.82 Deleted: 2935
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82
% 132.42/132.82 Intermediate Status:
% 132.42/132.82 Generated: 633728
% 132.42/132.82 Kept: 174439
% 132.42/132.82 Inuse: 1988
% 132.42/132.82 Deleted: 2935
% 132.42/132.82 Deletedinuse: 12
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 132.42/132.82 Done
% 132.42/132.82
% 132.42/132.82 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 643262
% 268.85/269.34 Kept: 176643
% 268.85/269.34 Inuse: 2013
% 268.85/269.34 Deleted: 2935
% 268.85/269.34 Deletedinuse: 12
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 654784
% 268.85/269.34 Kept: 178704
% 268.85/269.34 Inuse: 2032
% 268.85/269.34 Deleted: 2939
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 666218
% 268.85/269.34 Kept: 180882
% 268.85/269.34 Inuse: 2047
% 268.85/269.34 Deleted: 2939
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 675992
% 268.85/269.34 Kept: 183210
% 268.85/269.34 Inuse: 2072
% 268.85/269.34 Deleted: 2939
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying clauses:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 684444
% 268.85/269.34 Kept: 185506
% 268.85/269.34 Inuse: 2087
% 268.85/269.34 Deleted: 3624
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 692725
% 268.85/269.34 Kept: 187602
% 268.85/269.34 Inuse: 2107
% 268.85/269.34 Deleted: 3624
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 713203
% 268.85/269.34 Kept: 191658
% 268.85/269.34 Inuse: 2127
% 268.85/269.34 Deleted: 3624
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 727308
% 268.85/269.34 Kept: 194312
% 268.85/269.34 Inuse: 2132
% 268.85/269.34 Deleted: 3624
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 738655
% 268.85/269.34 Kept: 196548
% 268.85/269.34 Inuse: 2157
% 268.85/269.34 Deleted: 3624
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 748984
% 268.85/269.34 Kept: 198765
% 268.85/269.34 Inuse: 2177
% 268.85/269.34 Deleted: 3624
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 762122
% 268.85/269.34 Kept: 202264
% 268.85/269.34 Inuse: 2192
% 268.85/269.34 Deleted: 3624
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 772202
% 268.85/269.34 Kept: 204818
% 268.85/269.34 Inuse: 2197
% 268.85/269.34 Deleted: 3624
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying clauses:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 780612
% 268.85/269.34 Kept: 207095
% 268.85/269.34 Inuse: 2222
% 268.85/269.34 Deleted: 3829
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 798394
% 268.85/269.34 Kept: 211657
% 268.85/269.34 Inuse: 2232
% 268.85/269.34 Deleted: 3829
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 803765
% 268.85/269.34 Kept: 213887
% 268.85/269.34 Inuse: 2242
% 268.85/269.34 Deleted: 3829
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 810280
% 268.85/269.34 Kept: 216242
% 268.85/269.34 Inuse: 2257
% 268.85/269.34 Deleted: 3829
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 818423
% 268.85/269.34 Kept: 218242
% 268.85/269.34 Inuse: 2275
% 268.85/269.34 Deleted: 3829
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 825551
% 268.85/269.34 Kept: 221181
% 268.85/269.34 Inuse: 2292
% 268.85/269.34 Deleted: 3829
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 857234
% 268.85/269.34 Kept: 225754
% 268.85/269.34 Inuse: 2312
% 268.85/269.34 Deleted: 3829
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying clauses:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 865625
% 268.85/269.34 Kept: 228023
% 268.85/269.34 Inuse: 2337
% 268.85/269.34 Deleted: 4044
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 872917
% 268.85/269.34 Kept: 230500
% 268.85/269.34 Inuse: 2352
% 268.85/269.34 Deleted: 4044
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 878492
% 268.85/269.34 Kept: 232593
% 268.85/269.34 Inuse: 2362
% 268.85/269.34 Deleted: 4044
% 268.85/269.34 Deletedinuse: 15
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 885837
% 268.85/269.34 Kept: 235061
% 268.85/269.34 Inuse: 2377
% 268.85/269.34 Deleted: 4045
% 268.85/269.34 Deletedinuse: 16
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 902206
% 268.85/269.34 Kept: 239474
% 268.85/269.34 Inuse: 2392
% 268.85/269.34 Deleted: 4045
% 268.85/269.34 Deletedinuse: 16
% 268.85/269.34
% 268.85/269.34 Resimplifying inuse:
% 268.85/269.34 Done
% 268.85/269.34
% 268.85/269.34
% 268.85/269.34 Intermediate Status:
% 268.85/269.34 Generated: 914430
% 300.06/300.54 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------