TSTP Solution File: SWV657-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV657-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 16:27:32 EDT 2022
% Result : Timeout 300.06s 300.55s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV657-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 15 13:08:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.22/1.57 *** allocated 10000 integers for termspace/termends
% 1.22/1.57 *** allocated 10000 integers for clauses
% 1.22/1.57 *** allocated 10000 integers for justifications
% 1.22/1.57 *** allocated 15000 integers for termspace/termends
% 1.22/1.57 *** allocated 22500 integers for termspace/termends
% 1.22/1.57 *** allocated 33750 integers for termspace/termends
% 1.22/1.57 Bliksem 1.12
% 1.22/1.57
% 1.22/1.57
% 1.22/1.57 Automatic Strategy Selection
% 1.22/1.57
% 1.22/1.57 Clauses:
% 1.22/1.57 [
% 1.22/1.57 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.57 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.57 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.22/1.57 ) ],
% 1.22/1.57 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.57 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.57 ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.22/1.57 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.22/1.57 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.22/1.57 ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.22/1.57 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.22/1.57 ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.22/1.57 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.22/1.57 ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.22/1.57 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.22/1.57 ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.22/1.57 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.22/1.57 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.22/1.57 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.22/1.57 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.57 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.22/1.57 ,
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.57 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.22/1.57 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.22/1.57 ,
% 1.22/1.57 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.57 X ), Y ) ), Y ) ],
% 1.22/1.57 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.57 X ), Y ) ), Y ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.57 X ), Y ) ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.57 X ), Y ) ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.57 X ), Y ) ), Y ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.22/1.57 [ ~( =( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) )
% 1.22/1.57 , Y ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat'
% 1.22/1.57 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.22/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.22/1.57 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.22/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.22/1.57 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.22/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.22/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.22/1.57 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.22/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.22/1.57 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.22/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.22/1.57 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.22/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.22/1.57 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.22/1.57 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.22/1.57 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.22/1.57 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.22/1.57 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.22/1.57 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.22/1.57 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.22/1.57 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.22/1.57 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =(
% 1.22/1.57 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ]
% 1.22/1.57 ,
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.22/1.57 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.22/1.57 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.22/1.57 ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.22/1.57 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.57 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.57 X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.57 X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.22/1.57 , Y ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.57 X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.22/1.57 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.57 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.22/1.57 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.57 X ) ) ), =( Y, Z ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.57 X ) ) ), =( Y, Z ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.22/1.57 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.57 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.22/1.57 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.22/1.57 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.22/1.57 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.22/1.57 ,
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.57 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.22/1.57 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.22/1.57 ,
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.57 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.22/1.57 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.57 T, X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.57 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.57 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.57 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.57 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.57 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.22/1.57 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.57 T, X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.57 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.57 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.57 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.57 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.22/1.57 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.57 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.22/1.57 ,
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.57 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.57 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.22/1.57 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.57 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.57 ,
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.57 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.57 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.22/1.57 ,
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.22/1.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.57 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.22/1.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.22/1.57 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.22/1.57 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.57 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.58 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.58 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.22/1.58 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.22/1.58 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.22/1.58 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.22/1.58 ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.22/1.58 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.22/1.58 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), Y ) ), Z ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z,
% 1.22/1.58 T, X ) ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.22/1.58 ) ), Z ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.22/1.58 ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.22/1.58 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Z ), U ) ), W ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.22/1.58 ), W, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Z ), T ) ), W ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.22/1.58 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.22/1.58 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.22/1.58 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.58 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.22/1.58 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.58 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.22/1.58 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.22/1.58 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.22/1.58 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.58 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.22/1.58 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.22/1.58 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), Z ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.22/1.58 ), Y ) ), Z ) ), Z ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.22/1.58 'c_lessequals'( Z, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.22/1.58 'c_lessequals'( Z, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.22/1.58 X ), Y ), Z ) ), Z ), Y ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.22/1.58 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.22/1.58 , X ) ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.22/1.58 ), Z ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.58 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.22/1.58 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.58 X ), Y ), Z ) ), Z ), Y ) ],
% 1.22/1.58 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.58 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.22/1.58 ) ],
% 1.22/1.58 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.22/1.58 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.22/1.58 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.22/1.58 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.22/1.58 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.22/1.58 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.22/1.58 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.22/1.58 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.22/1.58 ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.22/1.58 ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.22/1.58 ), =( Z, Y ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.22/1.58 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.22/1.58 , X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.22/1.58 , X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.22/1.58 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.22/1.58 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.22/1.58 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.22/1.58 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.22/1.58 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.22/1.58 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.22/1.58 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.22/1.58 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.22/1.58 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.22/1.58 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.22/1.58 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.22/1.58 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.22/1.58 ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.22/1.58 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.22/1.58 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.22/1.58 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.22/1.58 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.22/1.58 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.22/1.58 , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.22/1.58 ), T ), U ) ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.22/1.58 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.22/1.58 T ), Z, X ) ) ],
% 1.22/1.58 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.22/1.58 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.22/1.58 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc',
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.22/1.58 , X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.22/1.58 , Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.22/1.58 , Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.22/1.58 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.22/1.58 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.22/1.58 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), W ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.22/1.58 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.22/1.58 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.22/1.58 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'(
% 1.22/1.58 X, Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.22/1.58 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.22/1.58 , X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.22/1.58 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.22/1.58 , X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.22/1.58 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.22/1.58 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.22/1.58 ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.22/1.58 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.22/1.58 ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.22/1.58 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.22/1.58 Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.22/1.58 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.22/1.58 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.22/1.58 'c_lessequals'( Z, Y, X ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.22/1.58 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.22/1.58 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.22/1.58 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.58 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.22/1.58 ), Y ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.22/1.58 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.22/1.58 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.22/1.58 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.58 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.22/1.58 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.22/1.58 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.22/1.58 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.22/1.58 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.22/1.58 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.22/1.58 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.22/1.58 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.22/1.58 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.22/1.58 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.22/1.58 , Y ) ) ],
% 1.22/1.58 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.22/1.58 'tc_nat' ) ) ) ],
% 1.22/1.58 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.22/1.58 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.22/1.58 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.22/1.58 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.22/1.58 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.22/1.58 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.22/1.58 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.22/1.58 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.22/1.58 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.58 'tc_nat' ), X ), Y ) ) ) ],
% 1.22/1.58 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.22/1.58 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.58 'tc_nat' ), X ), Y ) ) ) ],
% 1.22/1.58 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.22/1.58 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.22/1.58 'c_Suc', Y ) ) ) ],
% 1.22/1.58 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), Y, 'tc_nat'
% 1.22/1.58 ), 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', Z ), Y, 'tc_nat' ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.22/1.58 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.22/1.58 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.22/1.58 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Z ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.22/1.58 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.22/1.58 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ),
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.22/1.58 ), X ), Z ), 'tc_nat' ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.22/1.58 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.22/1.58 , X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.22/1.58 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.22/1.58 , T ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.22/1.58 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.22/1.58 X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.22/1.58 ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.22/1.58 Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.22/1.58 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.22/1.58 , X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.22/1.58 ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.22/1.58 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.22/1.58 X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.22/1.58 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.22/1.58 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.22/1.58 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.22/1.58 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.22/1.58 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.22/1.58 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.22/1.58 Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.22/1.58 , Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.22/1.58 ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.22/1.58 ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.22/1.58 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.22/1.58 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.22/1.58 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.58 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.22/1.58 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.58 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.22/1.58 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.22/1.58 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.22/1.58 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.22/1.58 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.22/1.58 ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.22/1.58 ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.22/1.58 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.22/1.58 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.22/1.58 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.22/1.58 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.22/1.58 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.22/1.58 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.22/1.58 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.22/1.58 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.22/1.58 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.22/1.58 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.22/1.58 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Z ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Z ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.22/1.58 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.22/1.58 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.22/1.58 ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.22/1.58 ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.58 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.22/1.58 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.22/1.58 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.22/1.58 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.22/1.58 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.22/1.58 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.58 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.58 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.58 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.22/1.58 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.22/1.58 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.22/1.58 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.22/1.58 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.22/1.58 ), T ) ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.58 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.22/1.58 , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.22/1.58 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.22/1.58 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.58 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), T ), Z ) ), U ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.22/1.58 ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.22/1.58 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.58 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.22/1.58 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.58 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.58 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.22/1.58 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.22/1.58 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.22/1.58 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.22/1.58 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.22/1.58 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.22/1.58 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.22/1.58 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.22/1.58 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.22/1.58 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.22/1.58 ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.22/1.58 ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 'tc_nat' ) ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.22/1.58 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.22/1.58 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.22/1.58 ), T ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.22/1.58 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.22/1.58 , X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.22/1.58 ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.22/1.58 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.22/1.58 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.22/1.58 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.22/1.58 ), X ) ) ],
% 1.22/1.58 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.22/1.58 ), Z ) ), T ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.22/1.58 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.22/1.58 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.22/1.58 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.22/1.58 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.22/1.58 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.22/1.58 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.22/1.58 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 Y, Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.22/1.58 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.58 'tc_nat' ) ), Y ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.22/1.58 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.22/1.58 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.22/1.58 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.22/1.58 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.22/1.58 , X ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.22/1.58 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.58 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.22/1.58 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.22/1.58 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.22/1.58 , X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.22/1.58 hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.22/1.58 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.58 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.58 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.22/1.58 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.22/1.58 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.22/1.58 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.22/1.58 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.58 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.22/1.58 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.22/1.58 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.58 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.22/1.58 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.22/1.58 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.22/1.58 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.22/1.58 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.22/1.58 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.22/1.58 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.22/1.58 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.22/1.58 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.22/1.58 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.22/1.58 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.58 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.58 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.22/1.58 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.22/1.58 ) ],
% 1.22/1.58 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.22/1.58 ), Y ), Y ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.58 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.58 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.58 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.22/1.58 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.22/1.58 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.22/1.58 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.22/1.58 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.22/1.58 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.22/1.58 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.22/1.58 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.58 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.58 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.22/1.58 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.58 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.22/1.58 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.22/1.58 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.22/1.58 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.22/1.58 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.58 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.22/1.58 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.22/1.58 ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), T ), Z ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), T ), Z ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.58 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.22/1.58 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.22/1.58 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.22/1.58 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.22/1.58 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.58 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.58 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.22/1.58 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.58 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.22/1.58 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.22/1.58 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.58 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.22/1.58 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.22/1.58 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.22/1.58 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.22/1.58 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.22/1.58 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.22/1.58 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.22/1.58 X ) ) ],
% 1.22/1.58 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.58 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.22/1.58 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.22/1.58 , T ) ],
% 1.22/1.58 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.58 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.22/1.58 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.22/1.58 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.58 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.22/1.58 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.22/1.58 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.58 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.22/1.58 ,
% 1.22/1.58 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.22/1.58 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.22/1.58 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.58 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.22/1.58 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.22/1.58 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.22/1.58 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.22/1.58 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.22/1.58 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.22/1.59 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.22/1.59 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.22/1.59 ],
% 1.22/1.59 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.22/1.59 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.22/1.59 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ) ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.22/1.59 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X
% 1.22/1.59 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.22/1.59 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.22/1.59 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.22/1.59 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.22/1.59 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.22/1.59 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.22/1.59 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.22/1.59 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.22/1.59 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.22/1.59 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.22/1.59 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.22/1.59 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), Y, 'tc_nat' )
% 1.22/1.59 , 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.22/1.59 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.22/1.59 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), U ) ) ) ), =(
% 1.22/1.59 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.22/1.59 'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 1.22/1.59 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.22/1.59 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.22/1.59 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.22/1.59 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.22/1.59 ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.22/1.59 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.22/1.59 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.22/1.59 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.22/1.59 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.22/1.59 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.59 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.59 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.22/1.59 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.22/1.59 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.22/1.59 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.22/1.59 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.22/1.59 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.22/1.59 ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), =(
% 1.22/1.59 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.22/1.59 ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.22/1.59 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.22/1.59 ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.22/1.59 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.22/1.59 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.22/1.59 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.22/1.59 ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.22/1.59 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.22/1.59 ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.22/1.59 ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.22/1.59 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.59 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.22/1.59 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.22/1.59 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.22/1.59 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.22/1.59 ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.22/1.59 ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.22/1.59 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.22/1.59 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.22/1.59 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.22/1.59 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.22/1.59 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.22/1.59 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.22/1.59 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.22/1.59 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.22/1.59 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.22/1.59 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.22/1.59 [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_FFT__Mirabelle_ODFT'( X, 'c_COMBB'( Y, hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.22/1.59 ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), Z ) ), 'c_FFT__Mirabelle_ODFT'(
% 1.22/1.59 X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.22/1.59 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.22/1.59 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.22/1.59 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.22/1.59 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.59 , X ) ), Z ) ), Z ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.22/1.59 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.22/1.59 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.22/1.59 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.22/1.59 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.22/1.59 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.22/1.59 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.22/1.59 ) ],
% 1.22/1.59 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.22/1.59 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), Y ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OPls', X ) ), Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.22/1.59 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.22/1.59 X ), Z, T, X ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.22/1.59 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.22/1.59 X ), Z, T, X ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.22/1.59 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.59 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.22/1.59 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ) ), Y ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ) ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.22/1.59 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.22/1.59 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.22/1.59 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T,
% 1.22/1.59 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.22/1.59 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.22/1.59 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.22/1.59 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.22/1.59 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.22/1.59 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.22/1.59 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.22/1.59 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.22/1.59 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.22/1.59 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.22/1.59 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.22/1.59 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 'tc_Complex_Ocomplex' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.22/1.59 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.22/1.59 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.22/1.59 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.22/1.59 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.22/1.59 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.22/1.59 ), Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.22/1.59 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.22/1.59 ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.22/1.59 ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.22/1.59 ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.22/1.59 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.22/1.59 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.59 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.22/1.59 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.22/1.59 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.22/1.59 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.22/1.59 , Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.22/1.59 , Y ) ],
% 1.22/1.59 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.22/1.59 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.22/1.59 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.22/1.59 ],
% 1.22/1.59 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.22/1.59 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), Y ), Z ) ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.22/1.59 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.22/1.59 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.22/1.59 X, X ), Z, T, X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.22/1.59 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.22/1.59 X, X ), Z, T, X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.22/1.59 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.22/1.59 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.22/1.59 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.59 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.22/1.59 Y ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 'tc_nat' ) ), Y ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 'tc_nat' ) ), Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.22/1.59 ), Y ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.22/1.59 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.22/1.59 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.59 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.22/1.59 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.22/1.59 Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ),
% 1.22/1.59 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'(
% 1.22/1.59 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.22/1.59 ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.22/1.59 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.22/1.59 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.22/1.59 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.22/1.59 , Z ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.22/1.59 , Z ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.22/1.59 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.22/1.59 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.22/1.59 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.22/1.59 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.22/1.59 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.22/1.59 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.59 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.22/1.59 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.59 ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.59 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.22/1.59 ) ), Z ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.22/1.59 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 X ) ) ],
% 1.22/1.59 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.22/1.59 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.22/1.59 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.59 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.59 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.22/1.59 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.22/1.59 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.22/1.59 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.22/1.59 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.22/1.59 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.22/1.59 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.22/1.59 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.22/1.59 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.22/1.59 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.22/1.59 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.22/1.59 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.22/1.59 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.22/1.59 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.22/1.59 , Y ) ],
% 1.22/1.59 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.22/1.59 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.22/1.59 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.22/1.59 ) ), Z ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.22/1.59 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.22/1.59 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.22/1.59 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.22/1.59 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), T ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), T ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.22/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.22/1.59 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.22/1.59 , W ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 'tc_nat' ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.22/1.59 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.22/1.59 , X ) ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.22/1.59 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.22/1.59 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.22/1.59 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.22/1.59 ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.22/1.59 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.22/1.59 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 'tc_nat' ), X ), X ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.22/1.59 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.22/1.59 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.22/1.59 , Y ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.22/1.59 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.22/1.59 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.22/1.59 [ =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'v_a',
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'tc_nat' ), 'tc_nat',
% 1.22/1.59 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.22/1.59 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.22/1.59 ), 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.22/1.59 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.22/1.59 'tc_Complex_Ocomplex' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.22/1.59 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.22/1.59 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.22/1.59 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'c_COMBC'(
% 1.22/1.59 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.22/1.59 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.22/1.59 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat',
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.22/1.59 'tc_Complex_Ocomplex' ) ) ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.22/1.59 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.22/1.59 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.22/1.59 Y ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.22/1.59 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.22/1.59 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.22/1.59 ) ) ],
% 1.22/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.22/1.59 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' )
% 1.22/1.59 , 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.22/1.59 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.22/1.59 ), 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.22/1.59 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.22/1.59 'tc_Complex_Ocomplex' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.22/1.59 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.22/1.59 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.22/1.59 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'c_COMBC'(
% 1.22/1.59 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.22/1.59 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.22/1.59 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat',
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.22/1.59 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.22/1.59 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.22/1.59 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.22/1.59 ), 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.22/1.59 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ), hAPP(
% 1.22/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ),
% 1.22/1.59 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.22/1.59 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ) ), 'v_i' ) ),
% 1.22/1.59 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.22/1.59 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.22/1.59 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.22/1.59 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.22/1.59 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.22/1.59 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.22/1.59 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.22/1.59 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.22/1.59 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.22/1.59 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.22/1.59 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.22/1.59 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.22/1.59 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.22/1.59 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.22/1.59 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ) )
% 1.22/1.59 ],
% 1.22/1.59 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.22/1.59 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.22/1.59 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.22/1.59 'class_Orderings_Opreorder'( Y ) ) ],
% 1.22/1.59 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.22/1.59 'class_Orderings_Oorder'( Y ) ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.22/1.59 ],
% 1.22/1.59 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.22/1.59 ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.22/1.59 ],
% 1.22/1.59 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.22/1.59 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.22/1.59 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.22/1.59 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.22/1.59 ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.22/1.59 ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.22/1.59 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.22/1.59 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.22/1.59 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.22/1.59 ],
% 1.22/1.59 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.22/1.59 ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.22/1.59 ],
% 1.22/1.59 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.22/1.59 ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.22/1.59 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.22/1.59 , W ) ) ) ],
% 1.22/1.59 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.22/1.59 ,
% 1.22/1.59 [ 'c_fequal'( X, X, Y ) ],
% 1.22/1.59 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.22/1.59 ] .
% 1.22/1.59
% 1.22/1.59
% 1.22/1.59 percentage equality = 0.253149, percentage horn = 0.859202
% 1.22/1.59 This is a problem with some equality
% 1.22/1.59
% 1.22/1.59
% 1.22/1.59
% 1.22/1.59 Options Used:
% 1.22/1.59
% 1.22/1.59 useres = 1
% 1.22/1.59 useparamod = 1
% 1.22/1.59 useeqrefl = 1
% 1.22/1.59 useeqfact = 1
% 1.22/1.59 usefactor = 1
% 1.22/1.59 usesimpsplitting = 0
% 1.22/1.59 usesimpdemod = 5
% 1.22/1.59 usesimpres = 3
% 1.22/1.59
% 1.22/1.59 resimpinuse = 1000
% 1.22/1.59 resimpclauses = 20000
% 1.22/1.59 substype = eqrewr
% 1.22/1.59 backwardsubs = 1
% 1.22/1.59 selectoldest = 5
% 1.22/1.59
% 1.22/1.59 litorderings [0] = split
% 1.22/1.59 litorderings [1] = extend the termordering, first sorting on arguments
% 1.22/1.59
% 1.22/1.59 termordering = kbo
% 1.22/1.59
% 1.22/1.59 litapriori = 0
% 1.22/1.59 termapriori = 1
% 1.22/1.59 litaposteriori = 0
% 1.22/1.59 termaposteriori = 0
% 1.22/1.59 demodaposteriori = 0
% 1.22/1.59 ordereqreflfact = 0
% 1.22/1.59
% 1.22/1.59 litselect = negord
% 1.22/1.59
% 1.22/1.59 maxweight = 15
% 1.22/1.59 maxdepth = 30000
% 1.22/1.59 maxlength = 115
% 1.22/1.59 maxnrvars = 195
% 1.22/1.59 excuselevel = 1
% 1.22/1.59 increasemaxweight = 1
% 1.22/1.59
% 1.22/1.59 maxselected = 10000000
% 1.22/1.59 maxnrclauses = 10000000
% 1.22/1.59
% 1.22/1.59 showgenerated = 0
% 1.22/1.59 showkept = 0
% 1.22/1.59 showselected = 0
% 1.22/1.59 showdeleted = 0
% 1.22/1.59 showresimp = 1
% 1.22/1.59 showstatus = 2000
% 1.22/1.59
% 1.22/1.59 prologoutput = 1
% 1.22/1.59 nrgoals = 5000000
% 1.22/1.59 totalproof = 1
% 1.22/1.59
% 1.22/1.59 Symbols occurring in the translation:
% 1.22/1.59
% 1.22/1.59 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.22/1.59 . [1, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.22/1.59 ! [4, 1] (w:0, o:67, a:1, s:1, b:0),
% 1.22/1.59 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.22/1.59 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.22/1.59 'class_OrderedGroup_Oordered__ab__group__add' [40, 1] (w:1, o:72, a:1
% 1.22/1.59 , s:1, b:0),
% 1.22/1.59 'c_HOL_Ouminus__class_Ouminus' [41, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.22/1.59 hAPP [43, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.22/1.59 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.22/1.59 'class_Divides_Osemiring__div' [45, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.22/1.59 'c_Divides_Odiv__class_Omod' [46, 3] (w:1, o:173, a:1, s:1, b:0),
% 1.22/1.59 'class_OrderedGroup_Ogroup__add' [47, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.22/1.59
% 1.22/1.59 'class_OrderedGroup_Opordered__ab__group__add' [48, 1] (w:1, o:79, a:
% 1.22/1.59 1, s:1, b:0),
% 1.22/1.59 'c_lessequals' [50, 3] (w:1, o:174, a:1, s:1, b:0),
% 2.07/2.45 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:175, a:1, s:1, b:0),
% 2.07/2.45 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [52, 1]
% 2.07/2.45 (w:1, o:80, a:1, s:1, b:0),
% 2.07/2.45 'c_HOL_Oplus__class_Oplus' [53, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.07/2.45 'class_OrderedGroup_Oab__group__add' [56, 1] (w:1, o:83, a:1, s:1, b:
% 2.07/2.45 0),
% 2.07/2.45 'c_HOL_Ominus__class_Ominus' [57, 1] (w:1, o:84, a:1, s:1, b:0),
% 2.07/2.45 'class_Lattices_Oboolean__algebra' [58, 1] (w:1, o:85, a:1, s:1, b:0)
% 2.07/2.45 ,
% 2.07/2.45 'c_Suc' [60, 0] (w:1, o:20, a:1, s:1, b:0),
% 2.07/2.45 'tc_nat' [63, 0] (w:1, o:26, a:1, s:1, b:0),
% 2.07/2.45 'class_Orderings_Olinorder' [68, 1] (w:1, o:86, a:1, s:1, b:0),
% 2.07/2.45 'class_Orderings_Opreorder' [69, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.07/2.45 'class_Orderings_Oorder' [71, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Oidom' [72, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.07/2.45 'class_Int_Onumber__ring' [73, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Oordered__semiring__strict' [74, 1] (w:1, o:
% 2.07/2.45 94, a:1, s:1, b:0),
% 2.07/2.45 'c_HOL_Otimes__class_Otimes' [75, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Oordered__semiring' [76, 1] (w:1, o:95, a:1
% 2.07/2.45 , s:1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Oordered__ring__strict' [77, 1] (w:1, o:93
% 2.07/2.45 , a:1, s:1, b:0),
% 2.07/2.45 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [78, 1]
% 2.07/2.45 (w:1, o:96, a:1, s:1, b:0),
% 2.07/2.45 'class_OrderedGroup_Ocomm__monoid__add' [79, 1] (w:1, o:97, a:1, s:1
% 2.07/2.45 , b:0),
% 2.07/2.45 'class_OrderedGroup_Opordered__comm__monoid__add' [80, 1] (w:1, o:98
% 2.07/2.45 , a:1, s:1, b:0),
% 2.07/2.45 'class_OrderedGroup_Olordered__ab__group__add' [81, 1] (w:1, o:99, a:
% 2.07/2.45 1, s:1, b:0),
% 2.07/2.45 'c_Power_Opower_Opower' [82, 3] (w:1, o:176, a:1, s:1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Oring' [83, 1] (w:1, o:100, a:1, s:1, b:0),
% 2.07/2.45 'class_RealVector_Oreal__normed__algebra' [86, 1] (w:1, o:101, a:1
% 2.07/2.45 , s:1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Opordered__ring' [88, 1] (w:1, o:106, a:1, s:
% 2.07/2.45 1, b:0),
% 2.07/2.45 'class_OrderedGroup_Opordered__ab__semigroup__add' [90, 1] (w:1, o:
% 2.07/2.45 107, a:1, s:1, b:0),
% 2.07/2.45 'c_Int_OMin' [91, 0] (w:1, o:35, a:1, s:1, b:0),
% 2.07/2.45 'c_Int_Onumber__class_Onumber__of' [92, 2] (w:1, o:170, a:1, s:1, b:0
% 2.07/2.45 ),
% 2.07/2.45 'class_Ring__and__Field_Oordered__idom' [93, 1] (w:1, o:102, a:1, s:1
% 2.07/2.45 , b:0),
% 2.07/2.45 'class_Divides_Oring__div' [94, 1] (w:1, o:76, a:1, s:1, b:0),
% 2.07/2.45 'class_Int_Onumber' [99, 1] (w:1, o:108, a:1, s:1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Ofield' [102, 1] (w:1, o:109, a:1, s:1, b:0)
% 2.07/2.45 ,
% 2.07/2.45 'class_Ring__and__Field_Odivision__by__zero' [103, 1] (w:1, o:113, a:
% 2.07/2.45 1, s:1, b:0),
% 2.07/2.45 'c_HOL_Oinverse__class_Odivide' [104, 1] (w:1, o:114, a:1, s:1, b:0)
% 2.07/2.45 ,
% 2.07/2.45 'c_HOL_Oone__class_Oone' [105, 1] (w:1, o:81, a:1, s:1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Oordered__comm__semiring__strict' [106, 1]
% 2.07/2.45 (w:1, o:103, a:1, s:1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Oordered__semidom' [107, 1] (w:1, o:104, a:1
% 2.07/2.45 , s:1, b:0),
% 2.07/2.45 'c_Power_Opower__class_Opower' [108, 1] (w:1, o:115, a:1, s:1, b:0),
% 2.07/2.45
% 2.07/2.45 'class_Ring__and__Field_Oordered__field' [109, 1] (w:1, o:105, a:1
% 2.07/2.45 , s:1, b:0),
% 2.07/2.45 hBOOL [111, 1] (w:1, o:116, a:1, s:1, b:0),
% 2.07/2.45 'c_Int_OBit1' [112, 1] (w:1, o:118, a:1, s:1, b:0),
% 2.07/2.45 'c_Int_OPls' [115, 0] (w:1, o:43, a:1, s:1, b:0),
% 2.07/2.45 'c_Int_OBit0' [116, 1] (w:1, o:117, a:1, s:1, b:0),
% 2.07/2.45 'class_RealVector_Oreal__normed__field' [117, 1] (w:1, o:119, a:1, s:
% 2.07/2.45 1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Omult__mono1' [118, 1] (w:1, o:120, a:1, s:1
% 2.07/2.45 , b:0),
% 2.07/2.45 'class_Ring__and__Field_Omult__mono' [119, 1] (w:1, o:121, a:1, s:1
% 2.07/2.45 , b:0),
% 2.07/2.45 'class_Ring__and__Field_Opordered__cancel__semiring' [120, 1] (w:1
% 2.07/2.45 , o:122, a:1, s:1, b:0),
% 2.07/2.45 'class_Ring__and__Field_Opordered__semiring' [121, 1] (w:1, o:123, a:
% 2.07/2.45 1, s:1, b:0),
% 2.07/2.45 'class_RealVector_Oreal__field' [122, 1] (w:1, o:124, a:1, s:1, b:0)
% 2.07/2.45 ,
% 2.07/2.45 'class_Ring__and__Field_Oring__1' [124, 1] (w:1, o:125, a:1, s:1, b:0
% 2.07/2.45 ),
% 2.07/2.45 'class_Power_Opower' [125, 1] (w:1, o:134, a:1, s:1, b:0),
% 2.07/2.45 'tc_fun' [127, 2] (w:1, o:171, a:1, s:1, b:0),
% 12.28/12.61 'c_COMBB' [129, 5] (w:1, o:182, a:1, s:1, b:0),
% 12.28/12.61 'c_COMBS' [131, 5] (w:1, o:183, a:1, s:1, b:0),
% 12.28/12.61 'c_Finite__Set_Osetsum' [133, 4] (w:1, o:181, a:1, s:1, b:0),
% 12.28/12.61 'c_SetInterval_Oord__class_OatLeastLessThan' [134, 3] (w:1, o:177, a:
% 12.28/12.61 1, s:1, b:0),
% 12.28/12.61 'class_Ring__and__Field_Ocomm__ring__1' [135, 1] (w:1, o:110, a:1, s:
% 12.28/12.61 1, b:0),
% 12.28/12.61 'class_Ring__and__Field_Osemiring__0' [137, 1] (w:1, o:137, a:1, s:1
% 12.28/12.61 , b:0),
% 12.28/12.61 'class_Ring__and__Field_Ocomm__semiring__1' [138, 1] (w:1, o:111, a:1
% 12.28/12.61 , s:1, b:0),
% 12.28/12.61 'class_OrderedGroup_Omonoid__mult' [140, 1] (w:1, o:126, a:1, s:1, b:
% 12.28/12.61 0),
% 12.28/12.61 'class_RealVector_Oreal__normed__algebra__1' [142, 1] (w:1, o:138, a:
% 12.28/12.61 1, s:1, b:0),
% 12.28/12.61 'c_Series_Osuminf' [143, 2] (w:1, o:172, a:1, s:1, b:0),
% 12.28/12.61 'c_COMBC' [144, 5] (w:1, o:184, a:1, s:1, b:0),
% 12.28/12.61 'v_i' [145, 0] (w:1, o:52, a:1, s:1, b:0),
% 12.28/12.61 'c_FFT__Mirabelle_ODFT' [146, 3] (w:1, o:178, a:1, s:1, b:0),
% 12.28/12.61 'tc_Complex_Ocomplex' [147, 0] (w:1, o:53, a:1, s:1, b:0),
% 12.28/12.61 'c_FFT__Mirabelle_Oroot' [148, 1] (w:1, o:139, a:1, s:1, b:0),
% 12.28/12.61 'c_FFT__Mirabelle_OIDFT' [149, 3] (w:1, o:179, a:1, s:1, b:0),
% 12.28/12.61 'class_Ring__and__Field_Ocomm__semiring' [151, 1] (w:1, o:112, a:1
% 12.28/12.61 , s:1, b:0),
% 12.28/12.61 'class_OrderedGroup_Oab__semigroup__mult' [156, 1] (w:1, o:127, a:1
% 12.28/12.61 , s:1, b:0),
% 12.28/12.61 'class_OrderedGroup_Ocomm__monoid__mult' [157, 1] (w:1, o:128, a:1
% 12.28/12.61 , s:1, b:0),
% 12.28/12.61 'class_OrderedGroup_Oab__semigroup__idem__mult' [158, 1] (w:1, o:129
% 12.28/12.61 , a:1, s:1, b:0),
% 12.28/12.61 'class_Ring__and__Field_Ozero__neq__one' [159, 1] (w:1, o:140, a:1
% 12.28/12.61 , s:1, b:0),
% 12.28/12.61 'class_Ring__and__Field_Ono__zero__divisors' [160, 1] (w:1, o:92, a:1
% 12.28/12.61 , s:1, b:0),
% 12.28/12.61 'class_Ring__and__Field_Omult__zero' [161, 1] (w:1, o:91, a:1, s:1
% 12.28/12.61 , b:0),
% 12.28/12.61 'class_Ring__and__Field_Oring__1__no__zero__divisors' [162, 1] (w:1
% 12.28/12.61 , o:135, a:1, s:1, b:0),
% 12.28/12.61 'class_OrderedGroup_Ocancel__ab__semigroup__add' [163, 1] (w:1, o:130
% 12.28/12.61 , a:1, s:1, b:0),
% 12.28/12.61 'class_OrderedGroup_Ocancel__semigroup__add' [164, 1] (w:1, o:131, a:
% 12.28/12.61 1, s:1, b:0),
% 12.28/12.61 'class_Ring__and__Field_Oring__no__zero__divisors' [167, 1] (w:1, o:
% 12.28/12.61 136, a:1, s:1, b:0),
% 12.28/12.61 'class_Ring__and__Field_Osemiring' [168, 1] (w:1, o:141, a:1, s:1, b:
% 12.28/12.61 0),
% 12.28/12.61 'class_Ring__and__Field_Osemiring__1' [169, 1] (w:1, o:142, a:1, s:1
% 12.28/12.61 , b:0),
% 12.28/12.61 'class_OrderedGroup_Oab__semigroup__add' [171, 1] (w:1, o:132, a:1
% 12.28/12.61 , s:1, b:0),
% 12.28/12.61 'class_Int_Oring__char__0' [175, 1] (w:1, o:143, a:1, s:1, b:0),
% 12.28/12.61 'v_a' [176, 0] (w:1, o:60, a:1, s:1, b:0),
% 12.28/12.61 'v_m' [177, 0] (w:1, o:61, a:1, s:1, b:0),
% 12.28/12.61 'class_OrderedGroup_Omonoid__add' [178, 1] (w:1, o:133, a:1, s:1, b:0
% 12.28/12.61 ),
% 12.28/12.61 'tc_Int_Oint' [181, 0] (w:1, o:64, a:1, s:1, b:0),
% 12.28/12.61 'c_fequal' [182, 3] (w:1, o:180, a:1, s:1, b:0).
% 12.28/12.61
% 12.28/12.61
% 12.28/12.61 Starting Search:
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61
% 12.28/12.61 Intermediate Status:
% 12.28/12.61 Generated: 3947
% 12.28/12.61 Kept: 2242
% 12.28/12.61 Inuse: 170
% 12.28/12.61 Deleted: 1
% 12.28/12.61 Deletedinuse: 0
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61
% 12.28/12.61 Intermediate Status:
% 12.28/12.61 Generated: 8953
% 12.28/12.61 Kept: 4260
% 12.28/12.61 Inuse: 240
% 12.28/12.61 Deleted: 1
% 12.28/12.61 Deletedinuse: 0
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61
% 12.28/12.61 Intermediate Status:
% 12.28/12.61 Generated: 15957
% 12.28/12.61 Kept: 7243
% 12.28/12.61 Inuse: 345
% 12.28/12.61 Deleted: 3
% 12.28/12.61 Deletedinuse: 0
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61
% 12.28/12.61 Intermediate Status:
% 12.28/12.61 Generated: 23430
% 12.28/12.61 Kept: 9258
% 12.28/12.61 Inuse: 387
% 12.28/12.61 Deleted: 4
% 12.28/12.61 Deletedinuse: 0
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61
% 12.28/12.61 Intermediate Status:
% 12.28/12.61 Generated: 27168
% 12.28/12.61 Kept: 11258
% 12.28/12.61 Inuse: 428
% 12.28/12.61 Deleted: 5
% 12.28/12.61 Deletedinuse: 0
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61
% 12.28/12.61 Intermediate Status:
% 12.28/12.61 Generated: 32684
% 12.28/12.61 Kept: 13301
% 12.28/12.61 Inuse: 510
% 12.28/12.61 Deleted: 6
% 12.28/12.61 Deletedinuse: 0
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61
% 12.28/12.61 Intermediate Status:
% 12.28/12.61 Generated: 37307
% 12.28/12.61 Kept: 15361
% 12.28/12.61 Inuse: 560
% 12.28/12.61 Deleted: 6
% 12.28/12.61 Deletedinuse: 0
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61 Resimplifying inuse:
% 12.28/12.61 Done
% 12.28/12.61
% 12.28/12.61
% 12.28/12.61 Intermediate Status:
% 12.28/12.61 Generated: 46533
% 12.28/12.61 Kept: 17518
% 12.28/12.61 Inuse: 595
% 12.28/12.61 Deleted: 6
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 59307
% 53.93/54.43 Kept: 20247
% 53.93/54.43 Inuse: 610
% 53.93/54.43 Deleted: 6
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying clauses:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 65528
% 53.93/54.43 Kept: 22782
% 53.93/54.43 Inuse: 635
% 53.93/54.43 Deleted: 178
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 70420
% 53.93/54.43 Kept: 24800
% 53.93/54.43 Inuse: 650
% 53.93/54.43 Deleted: 178
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 76408
% 53.93/54.43 Kept: 27022
% 53.93/54.43 Inuse: 683
% 53.93/54.43 Deleted: 178
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 83299
% 53.93/54.43 Kept: 29180
% 53.93/54.43 Inuse: 735
% 53.93/54.43 Deleted: 178
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 91091
% 53.93/54.43 Kept: 31194
% 53.93/54.43 Inuse: 750
% 53.93/54.43 Deleted: 178
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 99011
% 53.93/54.43 Kept: 33214
% 53.93/54.43 Inuse: 795
% 53.93/54.43 Deleted: 178
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 105911
% 53.93/54.43 Kept: 35250
% 53.93/54.43 Inuse: 840
% 53.93/54.43 Deleted: 178
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 115818
% 53.93/54.43 Kept: 37409
% 53.93/54.43 Inuse: 890
% 53.93/54.43 Deleted: 178
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 124179
% 53.93/54.43 Kept: 39412
% 53.93/54.43 Inuse: 924
% 53.93/54.43 Deleted: 178
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying clauses:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 137212
% 53.93/54.43 Kept: 41550
% 53.93/54.43 Inuse: 940
% 53.93/54.43 Deleted: 323
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 146954
% 53.93/54.43 Kept: 43659
% 53.93/54.43 Inuse: 970
% 53.93/54.43 Deleted: 323
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 159118
% 53.93/54.43 Kept: 47080
% 53.93/54.43 Inuse: 1010
% 53.93/54.43 Deleted: 323
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 172633
% 53.93/54.43 Kept: 49633
% 53.93/54.43 Inuse: 1045
% 53.93/54.43 Deleted: 323
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 179549
% 53.93/54.43 Kept: 51635
% 53.93/54.43 Inuse: 1074
% 53.93/54.43 Deleted: 323
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 186428
% 53.93/54.43 Kept: 54002
% 53.93/54.43 Inuse: 1095
% 53.93/54.43 Deleted: 323
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 193380
% 53.93/54.43 Kept: 56164
% 53.93/54.43 Inuse: 1120
% 53.93/54.43 Deleted: 323
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 200621
% 53.93/54.43 Kept: 58413
% 53.93/54.43 Inuse: 1145
% 53.93/54.43 Deleted: 323
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 207159
% 53.93/54.43 Kept: 60428
% 53.93/54.43 Inuse: 1156
% 53.93/54.43 Deleted: 323
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying clauses:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 217816
% 53.93/54.43 Kept: 63698
% 53.93/54.43 Inuse: 1165
% 53.93/54.43 Deleted: 393
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 225372
% 53.93/54.43 Kept: 65771
% 53.93/54.43 Inuse: 1175
% 53.93/54.43 Deleted: 393
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 235376
% 53.93/54.43 Kept: 68110
% 53.93/54.43 Inuse: 1200
% 53.93/54.43 Deleted: 393
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 242979
% 53.93/54.43 Kept: 70302
% 53.93/54.43 Inuse: 1220
% 53.93/54.43 Deleted: 393
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 250924
% 53.93/54.43 Kept: 72414
% 53.93/54.43 Inuse: 1240
% 53.93/54.43 Deleted: 393
% 53.93/54.43 Deletedinuse: 0
% 53.93/54.43
% 53.93/54.43 Resimplifying inuse:
% 53.93/54.43 Done
% 53.93/54.43
% 53.93/54.43
% 53.93/54.43 Intermediate Status:
% 53.93/54.43 Generated: 277952
% 124.23/124.73 Kept: 77177
% 124.23/124.73 Inuse: 1260
% 124.23/124.73 Deleted: 393
% 124.23/124.73 Deletedinuse: 0
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 286255
% 124.23/124.73 Kept: 79215
% 124.23/124.73 Inuse: 1285
% 124.23/124.73 Deleted: 393
% 124.23/124.73 Deletedinuse: 0
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 294987
% 124.23/124.73 Kept: 81224
% 124.23/124.73 Inuse: 1311
% 124.23/124.73 Deleted: 393
% 124.23/124.73 Deletedinuse: 0
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying clauses:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 304065
% 124.23/124.73 Kept: 83363
% 124.23/124.73 Inuse: 1335
% 124.23/124.73 Deleted: 517
% 124.23/124.73 Deletedinuse: 0
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 314012
% 124.23/124.73 Kept: 85367
% 124.23/124.73 Inuse: 1367
% 124.23/124.73 Deleted: 517
% 124.23/124.73 Deletedinuse: 0
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 328040
% 124.23/124.73 Kept: 87468
% 124.23/124.73 Inuse: 1389
% 124.23/124.73 Deleted: 521
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 338152
% 124.23/124.73 Kept: 89698
% 124.23/124.73 Inuse: 1419
% 124.23/124.73 Deleted: 521
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 348280
% 124.23/124.73 Kept: 91993
% 124.23/124.73 Inuse: 1449
% 124.23/124.73 Deleted: 521
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 357864
% 124.23/124.73 Kept: 94136
% 124.23/124.73 Inuse: 1479
% 124.23/124.73 Deleted: 521
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 370305
% 124.23/124.73 Kept: 96474
% 124.23/124.73 Inuse: 1489
% 124.23/124.73 Deleted: 521
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 381723
% 124.23/124.73 Kept: 98484
% 124.23/124.73 Inuse: 1497
% 124.23/124.73 Deleted: 521
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 390060
% 124.23/124.73 Kept: 100729
% 124.23/124.73 Inuse: 1524
% 124.23/124.73 Deleted: 521
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying clauses:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 405571
% 124.23/124.73 Kept: 104516
% 124.23/124.73 Inuse: 1554
% 124.23/124.73 Deleted: 1021
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 414195
% 124.23/124.73 Kept: 106554
% 124.23/124.73 Inuse: 1564
% 124.23/124.73 Deleted: 1021
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 423404
% 124.23/124.73 Kept: 108583
% 124.23/124.73 Inuse: 1594
% 124.23/124.73 Deleted: 1021
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 444631
% 124.23/124.73 Kept: 112997
% 124.23/124.73 Inuse: 1629
% 124.23/124.73 Deleted: 1021
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 452956
% 124.23/124.73 Kept: 115460
% 124.23/124.73 Inuse: 1654
% 124.23/124.73 Deleted: 1021
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 460530
% 124.23/124.73 Kept: 117477
% 124.23/124.73 Inuse: 1670
% 124.23/124.73 Deleted: 1021
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 468553
% 124.23/124.73 Kept: 119492
% 124.23/124.73 Inuse: 1693
% 124.23/124.73 Deleted: 1021
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 475534
% 124.23/124.73 Kept: 121787
% 124.23/124.73 Inuse: 1714
% 124.23/124.73 Deleted: 1021
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying clauses:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 482947
% 124.23/124.73 Kept: 124139
% 124.23/124.73 Inuse: 1734
% 124.23/124.73 Deleted: 1256
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 489753
% 124.23/124.73 Kept: 126139
% 124.23/124.73 Inuse: 1754
% 124.23/124.73 Deleted: 1256
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 496536
% 124.23/124.73 Kept: 128292
% 124.23/124.73 Inuse: 1774
% 124.23/124.73 Deleted: 1256
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 504502
% 124.23/124.73 Kept: 130402
% 124.23/124.73 Inuse: 1799
% 124.23/124.73 Deleted: 1256
% 124.23/124.73 Deletedinuse: 3
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73 Resimplifying inuse:
% 124.23/124.73 Done
% 124.23/124.73
% 124.23/124.73
% 124.23/124.73 Intermediate Status:
% 124.23/124.73 Generated: 511071
% 124.23/124.73 Kept: 132408
% 124.23/124.73 Inuse: 1817
% 124.23/124.73 Deleted: 1256
% 124.23/124.73 DelCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------