TSTP Solution File: SWV663-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV663-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 16:27:35 EDT 2022
% Result : Timeout 300.08s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV663-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 03:55:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.13/1.49 *** allocated 10000 integers for termspace/termends
% 1.13/1.49 *** allocated 10000 integers for clauses
% 1.13/1.49 *** allocated 10000 integers for justifications
% 1.13/1.49 *** allocated 15000 integers for termspace/termends
% 1.13/1.49 *** allocated 22500 integers for termspace/termends
% 1.13/1.49 *** allocated 33750 integers for termspace/termends
% 1.13/1.49 Bliksem 1.12
% 1.13/1.49
% 1.13/1.49
% 1.13/1.49 Automatic Strategy Selection
% 1.13/1.49
% 1.13/1.49 Clauses:
% 1.13/1.49 [
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.49 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.13/1.49 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.13/1.49 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.13/1.49 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.13/1.49 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.13/1.49 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.13/1.49 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.13/1.49 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.13/1.49 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.49 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.49 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.13/1.49 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ), Y ) ],
% 1.13/1.49 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ), Y ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ), Y ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.13/1.49 [ ~( =( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) )
% 1.13/1.49 , Y ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat'
% 1.13/1.49 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.13/1.49 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.49 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.13/1.49 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.13/1.49 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.13/1.49 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.49 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.13/1.49 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.13/1.49 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =(
% 1.13/1.49 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.13/1.49 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.13/1.49 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.13/1.49 ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.13/1.49 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.13/1.49 ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.49 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.49 , Y ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.49 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.49 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.49 X ) ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.49 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.13/1.49 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.13/1.49 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.49 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.13/1.49 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.13/1.49 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.49 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.13/1.49 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.13/1.49 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.49 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.13/1.49 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.49 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.13/1.49 ,
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.13/1.49 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.13/1.49 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.49 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.49 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.49 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.49 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.49 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.13/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.13/1.49 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.49 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.49 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.13/1.49 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.49 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.49 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.13/1.49 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.49 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.13/1.49 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.49 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.13/1.49 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.13/1.49 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.49 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.49 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.13/1.49 ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.49 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.13/1.49 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.13/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.13/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.13/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.13/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.49 X ), Y ) ), Z ) ) ],
% 1.13/1.49 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.13/1.49 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.13/1.49 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.49 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.13/1.49 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.49 ), Y ), T ), Z, X ) ) ],
% 1.13/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.13/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.49 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.13/1.49 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.13/1.50 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z,
% 1.13/1.50 T, X ) ), T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.13/1.50 ) ), Z ), T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.13/1.50 ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.13/1.50 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Z ), U ) ), W ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.13/1.50 ), W, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Z ), T ) ), W ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.50 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.50 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.13/1.50 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.50 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.50 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.13/1.50 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.50 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.50 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.50 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.13/1.50 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.50 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.50 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.50 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.50 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.50 T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.13/1.50 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.13/1.50 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), Z ), T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.50 ), Y ) ), Z ) ), Z ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.50 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.50 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.50 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.13/1.50 'c_lessequals'( Z, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.50 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.13/1.50 'c_lessequals'( Z, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.50 X ), Y ), Z ) ), Z ), Y ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.13/1.50 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.13/1.50 , X ) ), T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.13/1.50 ), Z ), T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.13/1.50 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.50 X ), Y ), Z ) ), Z ), Y ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.13/1.50 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.13/1.50 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.50 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.13/1.50 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.13/1.50 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.50 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.13/1.50 ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.50 ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.13/1.50 ), =( Z, Y ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.13/1.50 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.13/1.50 , X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.50 , X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.13/1.50 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.13/1.50 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.50 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.50 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.50 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.13/1.50 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.50 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.50 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.13/1.50 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.13/1.50 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.13/1.50 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.13/1.50 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ), T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.13/1.50 ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.13/1.50 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.13/1.50 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.13/1.50 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.13/1.50 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.13/1.50 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.13/1.50 , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.13/1.50 ), T ), U ) ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.13/1.50 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.13/1.50 T ), Z, X ) ) ],
% 1.13/1.50 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.13/1.50 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.13/1.50 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.13/1.50 , X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.50 , Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.50 , Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.50 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.13/1.50 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.13/1.50 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), W ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.13/1.50 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.13/1.50 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.13/1.50 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.50 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.13/1.50 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'(
% 1.13/1.50 X, Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.50 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.13/1.50 , X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.50 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.13/1.50 , X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.50 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.50 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.13/1.50 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.50 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.13/1.50 Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.13/1.50 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.50 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.13/1.50 'c_lessequals'( Z, Y, X ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.50 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.13/1.50 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.13/1.50 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.50 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.50 ), Y ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.13/1.50 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.50 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.13/1.50 ) ],
% 1.13/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.50 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.13/1.50 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.50 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.13/1.50 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.13/1.50 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.13/1.50 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.13/1.50 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.13/1.50 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.13/1.50 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.13/1.50 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.13/1.50 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.13/1.50 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.13/1.50 , Y ) ) ],
% 1.13/1.50 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.50 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.13/1.50 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.50 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.13/1.50 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.13/1.50 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.13/1.50 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.13/1.50 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.13/1.50 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.13/1.50 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.13/1.50 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.13/1.50 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.50 'tc_nat' ), X ), Y ) ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.13/1.50 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.50 'tc_nat' ), X ), Y ) ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.13/1.50 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.13/1.50 'c_Suc', Y ) ) ) ],
% 1.13/1.50 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), Y, 'tc_nat'
% 1.13/1.50 ), 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', Z ), Y, 'tc_nat' ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.13/1.50 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.13/1.50 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Z ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.13/1.50 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.13/1.50 ), X ), Z ), 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.13/1.50 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.13/1.50 , X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.13/1.50 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.13/1.50 , T ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.13/1.50 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.13/1.50 X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.13/1.50 ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.13/1.50 Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.13/1.50 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.13/1.50 , X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.13/1.50 ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.13/1.50 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.13/1.50 X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.13/1.50 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Y ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.13/1.50 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.13/1.50 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.13/1.50 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.13/1.50 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.13/1.50 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.13/1.50 Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.13/1.50 , Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.13/1.50 ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.13/1.50 ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.13/1.50 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.13/1.50 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.13/1.50 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.50 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.13/1.50 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.50 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.13/1.50 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.13/1.50 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.13/1.50 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.13/1.50 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.50 'tc_Complex_Ocomplex' ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.50 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.13/1.50 ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.13/1.50 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.13/1.50 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.13/1.50 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.13/1.50 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.13/1.50 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.13/1.50 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.13/1.50 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.13/1.50 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.13/1.50 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.13/1.50 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.13/1.50 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Z ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Z ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.13/1.50 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.13/1.50 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.13/1.50 ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.13/1.50 ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.50 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.50 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.50 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.50 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.50 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.13/1.50 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.50 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.50 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.50 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.13/1.50 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.13/1.50 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.13/1.50 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.13/1.50 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.13/1.50 ), T ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.50 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.13/1.50 , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.13/1.50 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.50 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), T ), Z ) ), U ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.13/1.50 ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.13/1.50 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.50 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.13/1.50 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.50 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.50 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.50 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.13/1.50 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Y ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.13/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.13/1.50 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.13/1.50 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.13/1.50 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.13/1.50 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.13/1.50 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.13/1.50 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.13/1.50 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.13/1.50 ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.13/1.50 ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 'tc_nat' ) ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.13/1.50 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.13/1.50 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.13/1.50 ), T ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.13/1.50 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.13/1.50 , X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.13/1.50 ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.50 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.13/1.50 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.13/1.50 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.13/1.50 ), X ) ) ],
% 1.13/1.50 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.13/1.50 ), Z ) ), T ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.50 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.13/1.50 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.13/1.50 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.13/1.50 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.13/1.50 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.13/1.50 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.13/1.50 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.50 Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.13/1.50 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.13/1.50 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.50 'tc_nat' ) ), Y ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.50 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.13/1.50 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.13/1.50 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.13/1.50 , X ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.50 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.50 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.13/1.50 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.13/1.50 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.13/1.50 , X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.13/1.50 hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.13/1.50 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.50 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.50 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.50 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.50 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.13/1.50 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.13/1.50 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.13/1.50 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.13/1.50 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.50 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.13/1.50 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.13/1.50 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.50 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.13/1.50 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.13/1.50 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.13/1.50 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.13/1.50 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.13/1.50 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.13/1.50 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.13/1.50 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.13/1.50 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.13/1.50 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.13/1.50 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.13/1.50 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.50 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.50 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.13/1.50 ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.13/1.50 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.13/1.50 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.13/1.50 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.13/1.50 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.13/1.50 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.13/1.50 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.50 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.13/1.50 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.13/1.50 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.13/1.50 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.50 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.13/1.50 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.50 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.13/1.50 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), T ), Z ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), T ), Z ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.13/1.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.13/1.50 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.13/1.50 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.13/1.50 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.13/1.50 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.13/1.50 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.50 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.13/1.50 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.13/1.50 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.50 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.13/1.50 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.13/1.50 X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.13/1.50 , T ) ],
% 1.13/1.50 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.13/1.50 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.13/1.50 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.13/1.50 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.13/1.50 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.13/1.50 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.13/1.50 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.13/1.50 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.50 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.13/1.50 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.13/1.50 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.13/1.50 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.50 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X
% 1.13/1.50 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.50 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.13/1.50 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.13/1.50 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.50 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.13/1.50 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.13/1.50 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.13/1.50 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ),
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.50 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.13/1.50 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.13/1.50 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.13/1.50 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.13/1.50 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.13/1.50 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.13/1.50 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.50 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.13/1.50 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), Y, 'tc_nat' )
% 1.13/1.50 , 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.13/1.50 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.13/1.50 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.13/1.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.13/1.50 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.13/1.50 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), U ) ) ) ), =(
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.13/1.50 'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 1.13/1.50 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.50 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.13/1.50 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.50 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.13/1.50 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.13/1.50 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.13/1.50 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.13/1.50 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.13/1.50 [ =( 'c_FFT__Mirabelle_OIDFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.50 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ),
% 1.13/1.50 'c_FFT__Mirabelle_OIDFT'( X, 'c_COMBB'( Y, hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.13/1.50 ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.13/1.50 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.50 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.13/1.50 ) ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.50 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.50 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ) ), Z ) ),
% 1.13/1.50 'c_FFT__Mirabelle_OIDFT'( X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'(
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.13/1.50 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.13/1.50 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.13/1.50 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.50 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.13/1.50 ), Y ), Y ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.50 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.13/1.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.13/1.50 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.13/1.50 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.50 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.13/1.50 ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.13/1.50 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.13/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.50 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.50 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.13/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.13/1.51 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.13/1.51 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.13/1.51 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.13/1.51 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.13/1.51 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.13/1.51 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.13/1.51 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.13/1.51 ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), =(
% 1.13/1.51 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.13/1.51 ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.13/1.51 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.13/1.51 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.51 ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.13/1.51 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.13/1.51 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.13/1.51 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.13/1.51 ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.13/1.51 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.13/1.51 ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.13/1.51 ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.13/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.13/1.51 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.13/1.51 ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.13/1.51 ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.13/1.51 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.13/1.51 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.13/1.51 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.13/1.51 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.13/1.51 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.13/1.51 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.13/1.51 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.13/1.51 [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ),
% 1.13/1.51 'c_FFT__Mirabelle_ODFT'( X, 'c_COMBB'( Y, hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.13/1.51 ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.13/1.51 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), Z ) ), 'c_FFT__Mirabelle_ODFT'(
% 1.13/1.51 X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.13/1.51 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.13/1.51 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.51 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.13/1.51 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.13/1.51 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.13/1.51 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.13/1.51 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.13/1.51 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.13/1.51 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.13/1.51 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.13/1.51 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.13/1.51 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.13/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.51 , X ) ), Z ) ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.13/1.51 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.13/1.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.13/1.51 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.13/1.51 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.13/1.51 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.13/1.51 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.51 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.13/1.51 ) ],
% 1.13/1.51 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.13/1.51 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OPls', X ) ), Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.13/1.51 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.13/1.51 X ), Z, T, X ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.13/1.51 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.13/1.51 X ), Z, T, X ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.13/1.51 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.51 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.13/1.51 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.51 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ) ), Y ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.51 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.13/1.51 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.13/1.51 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T,
% 1.13/1.51 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.13/1.51 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.13/1.51 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.13/1.51 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.13/1.51 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.13/1.51 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.13/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.13/1.51 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.51 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.13/1.51 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.13/1.51 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.13/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.13/1.51 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.51 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.13/1.51 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.13/1.51 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.51 ), Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.13/1.51 ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.13/1.51 ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.13/1.51 ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.51 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.13/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.51 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.13/1.51 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.13/1.51 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.13/1.51 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.13/1.51 , Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.13/1.51 , Y ) ],
% 1.13/1.51 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.13/1.51 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.13/1.51 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.13/1.51 ],
% 1.13/1.51 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.13/1.51 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.13/1.51 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 'tc_nat' ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.13/1.51 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.13/1.51 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.13/1.51 X, X ), Z, T, X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.13/1.51 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.13/1.51 X, X ), Z, T, X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.13/1.51 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.13/1.51 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.51 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.13/1.51 Y ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 'tc_nat' ) ), Y ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 'tc_nat' ) ), Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.13/1.51 ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.13/1.51 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.13/1.51 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.51 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.51 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.13/1.51 Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ),
% 1.13/1.51 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'(
% 1.13/1.51 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.13/1.51 ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.13/1.51 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.13/1.51 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.13/1.51 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.13/1.51 , Z ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.13/1.51 , Z ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.51 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.13/1.51 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.51 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.13/1.51 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.13/1.51 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.13/1.51 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.13/1.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.51 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.13/1.51 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.51 ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.51 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.13/1.51 ) ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.13/1.51 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 X ) ) ],
% 1.13/1.51 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.13/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.13/1.51 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.51 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.51 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.51 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.13/1.51 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.13/1.51 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.51 Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.13/1.51 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.13/1.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.13/1.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.13/1.51 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.13/1.51 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.13/1.51 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.13/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.13/1.51 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.13/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.51 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.13/1.51 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.13/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.13/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.13/1.51 , Y ) ],
% 1.13/1.51 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.13/1.51 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.13/1.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.13/1.51 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.13/1.51 ) ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.51 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.51 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.13/1.51 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.13/1.51 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.13/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), T ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), T ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.13/1.51 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.13/1.51 , W ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.13/1.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.13/1.51 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.13/1.51 , X ) ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.13/1.51 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.51 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.13/1.51 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.13/1.51 ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.13/1.51 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.13/1.51 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.13/1.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 'tc_nat' ), X ), X ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.13/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.13/1.51 , Y ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.13/1.51 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.13/1.51 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.13/1.51 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.13/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.13/1.51 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'v_a',
% 1.13/1.51 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.13/1.51 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.13/1.51 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.13/1.51 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.13/1.51 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'tc_nat' ), 'tc_nat',
% 1.13/1.51 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.13/1.51 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.13/1.51 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.13/1.51 ), 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.13/1.51 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.13/1.51 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.13/1.51 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.13/1.51 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.13/1.51 'tc_Complex_Ocomplex' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.13/1.51 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.13/1.51 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.13/1.51 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.13/1.51 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.13/1.51 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.13/1.51 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.13/1.51 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.13/1.51 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.13/1.51 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'c_COMBC'(
% 1.13/1.51 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.13/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.13/1.51 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.13/1.51 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.13/1.51 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat',
% 1.13/1.51 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.13/1.51 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.13/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.13/1.51 'tc_Complex_Ocomplex' ) ) ) ) ],
% 1.13/1.51 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.51 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.13/1.51 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.51 'class_Orderings_Opreorder'( Y ) ) ],
% 1.13/1.51 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.51 'class_Orderings_Oorder'( Y ) ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.13/1.51 ],
% 1.13/1.51 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.13/1.51 ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.13/1.51 ],
% 1.13/1.51 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.13/1.51 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.13/1.51 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.13/1.51 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.13/1.51 ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.13/1.51 ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.13/1.51 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.13/1.51 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.13/1.51 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.13/1.51 ],
% 1.13/1.51 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.13/1.51 ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.13/1.51 ],
% 1.13/1.51 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.13/1.51 ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.13/1.51 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.13/1.51 , W ) ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'c_fequal'( X, X, Y ) ],
% 1.13/1.51 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.13/1.51 ] .
% 1.13/1.51
% 1.13/1.51
% 1.13/1.51 percentage equality = 0.253149, percentage horn = 0.859202
% 1.13/1.51 This is a problem with some equality
% 1.13/1.51
% 1.13/1.51
% 1.13/1.51
% 1.13/1.51 Options Used:
% 1.13/1.51
% 1.13/1.51 useres = 1
% 1.13/1.51 useparamod = 1
% 1.13/1.51 useeqrefl = 1
% 1.13/1.51 useeqfact = 1
% 1.13/1.51 usefactor = 1
% 1.13/1.51 usesimpsplitting = 0
% 1.13/1.51 usesimpdemod = 5
% 1.13/1.51 usesimpres = 3
% 1.13/1.51
% 1.13/1.51 resimpinuse = 1000
% 1.13/1.51 resimpclauses = 20000
% 1.13/1.51 substype = eqrewr
% 1.13/1.51 backwardsubs = 1
% 1.13/1.51 selectoldest = 5
% 1.13/1.51
% 1.13/1.51 litorderings [0] = split
% 1.13/1.51 litorderings [1] = extend the termordering, first sorting on arguments
% 1.13/1.51
% 1.13/1.51 termordering = kbo
% 1.13/1.51
% 1.13/1.51 litapriori = 0
% 1.13/1.51 termapriori = 1
% 1.13/1.51 litaposteriori = 0
% 1.13/1.51 termaposteriori = 0
% 1.13/1.51 demodaposteriori = 0
% 1.13/1.51 ordereqreflfact = 0
% 1.13/1.51
% 1.13/1.51 litselect = negord
% 1.13/1.51
% 1.13/1.51 maxweight = 15
% 1.13/1.51 maxdepth = 30000
% 1.13/1.51 maxlength = 115
% 1.13/1.51 maxnrvars = 195
% 1.13/1.51 excuselevel = 1
% 1.13/1.51 increasemaxweight = 1
% 1.13/1.51
% 1.13/1.51 maxselected = 10000000
% 1.13/1.51 maxnrclauses = 10000000
% 1.13/1.51
% 1.13/1.51 showgenerated = 0
% 1.13/1.51 showkept = 0
% 1.13/1.51 showselected = 0
% 1.13/1.51 showdeleted = 0
% 1.13/1.51 showresimp = 1
% 1.13/1.51 showstatus = 2000
% 1.13/1.51
% 1.13/1.51 prologoutput = 1
% 1.13/1.51 nrgoals = 5000000
% 1.13/1.51 totalproof = 1
% 1.13/1.51
% 1.13/1.51 Symbols occurring in the translation:
% 1.13/1.51
% 1.13/1.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.13/1.51 . [1, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.13/1.51 ! [4, 1] (w:0, o:67, a:1, s:1, b:0),
% 1.13/1.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.13/1.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.13/1.51 'class_Divides_Osemiring__div' [40, 1] (w:1, o:73, a:1, s:1, b:0),
% 1.13/1.51 'c_Divides_Odiv__class_Omod' [42, 3] (w:1, o:173, a:1, s:1, b:0),
% 1.13/1.51 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.13/1.51 'class_OrderedGroup_Ogroup__add' [44, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.13/1.51
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus' [45, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.13/1.51 hAPP [46, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.13/1.51 'class_OrderedGroup_Oordered__ab__group__add' [47, 1] (w:1, o:78, a:1
% 1.78/2.20 , s:1, b:0),
% 1.78/2.20 'class_OrderedGroup_Opordered__ab__group__add' [48, 1] (w:1, o:79, a:
% 1.78/2.20 1, s:1, b:0),
% 1.78/2.20 'c_lessequals' [50, 3] (w:1, o:174, a:1, s:1, b:0),
% 1.78/2.20 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.78/2.20 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [52, 1]
% 1.78/2.20 (w:1, o:80, a:1, s:1, b:0),
% 1.78/2.20 'c_HOL_Oplus__class_Oplus' [53, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.78/2.20 'class_OrderedGroup_Oab__group__add' [56, 1] (w:1, o:83, a:1, s:1, b:
% 1.78/2.20 0),
% 1.78/2.20 'c_HOL_Ominus__class_Ominus' [57, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.78/2.20 'class_Lattices_Oboolean__algebra' [58, 1] (w:1, o:85, a:1, s:1, b:0)
% 1.78/2.20 ,
% 1.78/2.20 'c_Suc' [60, 0] (w:1, o:20, a:1, s:1, b:0),
% 1.78/2.20 'tc_nat' [63, 0] (w:1, o:26, a:1, s:1, b:0),
% 1.78/2.20 'class_Orderings_Olinorder' [68, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.78/2.20 'class_Orderings_Opreorder' [69, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.78/2.20 'class_Orderings_Oorder' [71, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Oidom' [72, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.78/2.20 'class_Int_Onumber__ring' [73, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Oordered__semiring__strict' [74, 1] (w:1, o:
% 1.78/2.20 94, a:1, s:1, b:0),
% 1.78/2.20 'c_HOL_Otimes__class_Otimes' [75, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Oordered__semiring' [76, 1] (w:1, o:95, a:1
% 1.78/2.20 , s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Oordered__ring__strict' [77, 1] (w:1, o:93
% 1.78/2.20 , a:1, s:1, b:0),
% 1.78/2.20 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [78, 1]
% 1.78/2.20 (w:1, o:96, a:1, s:1, b:0),
% 1.78/2.20 'class_OrderedGroup_Ocomm__monoid__add' [79, 1] (w:1, o:97, a:1, s:1
% 1.78/2.20 , b:0),
% 1.78/2.20 'class_OrderedGroup_Opordered__comm__monoid__add' [80, 1] (w:1, o:98
% 1.78/2.20 , a:1, s:1, b:0),
% 1.78/2.20 'class_OrderedGroup_Olordered__ab__group__add' [81, 1] (w:1, o:99, a:
% 1.78/2.20 1, s:1, b:0),
% 1.78/2.20 'c_Power_Opower_Opower' [82, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Oring' [83, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.78/2.20 'class_RealVector_Oreal__normed__algebra' [86, 1] (w:1, o:101, a:1
% 1.78/2.20 , s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Opordered__ring' [88, 1] (w:1, o:106, a:1, s:
% 1.78/2.20 1, b:0),
% 1.78/2.20 'class_OrderedGroup_Opordered__ab__semigroup__add' [90, 1] (w:1, o:
% 1.78/2.20 107, a:1, s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Oordered__idom' [91, 1] (w:1, o:102, a:1, s:1
% 1.78/2.20 , b:0),
% 1.78/2.20 'class_Divides_Oring__div' [92, 1] (w:1, o:72, a:1, s:1, b:0),
% 1.78/2.20 'class_Int_Onumber' [97, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.78/2.20 'c_Int_Onumber__class_Onumber__of' [99, 2] (w:1, o:170, a:1, s:1, b:0
% 1.78/2.20 ),
% 1.78/2.20 'class_Ring__and__Field_Ofield' [101, 1] (w:1, o:109, a:1, s:1, b:0)
% 1.78/2.20 ,
% 1.78/2.20 'class_Ring__and__Field_Odivision__by__zero' [102, 1] (w:1, o:113, a:
% 1.78/2.20 1, s:1, b:0),
% 1.78/2.20 'c_HOL_Oinverse__class_Odivide' [103, 1] (w:1, o:114, a:1, s:1, b:0)
% 1.78/2.20 ,
% 1.78/2.20 'c_Int_OMin' [104, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.78/2.20 'c_HOL_Oone__class_Oone' [105, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Oordered__comm__semiring__strict' [106, 1]
% 1.78/2.20 (w:1, o:103, a:1, s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Oordered__semidom' [107, 1] (w:1, o:104, a:1
% 1.78/2.20 , s:1, b:0),
% 1.78/2.20 'c_Power_Opower__class_Opower' [108, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.78/2.20
% 1.78/2.20 'class_Ring__and__Field_Oordered__field' [109, 1] (w:1, o:105, a:1
% 1.78/2.20 , s:1, b:0),
% 1.78/2.20 hBOOL [111, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.78/2.20 'c_Int_OBit1' [112, 1] (w:1, o:118, a:1, s:1, b:0),
% 1.78/2.20 'c_Int_OPls' [115, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.78/2.20 'c_Int_OBit0' [116, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.78/2.20 'class_RealVector_Oreal__normed__field' [117, 1] (w:1, o:119, a:1, s:
% 1.78/2.20 1, b:0),
% 1.78/2.20 'tc_Complex_Ocomplex' [118, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.78/2.20 'c_FFT__Mirabelle_Oroot' [119, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Omult__mono1' [120, 1] (w:1, o:121, a:1, s:1
% 1.78/2.20 , b:0),
% 1.78/2.20 'class_Ring__and__Field_Omult__mono' [121, 1] (w:1, o:122, a:1, s:1
% 1.78/2.20 , b:0),
% 1.78/2.20 'class_Ring__and__Field_Opordered__cancel__semiring' [122, 1] (w:1
% 1.78/2.20 , o:123, a:1, s:1, b:0),
% 1.78/2.20 'class_Ring__and__Field_Opordered__semiring' [123, 1] (w:1, o:124, a:
% 10.83/11.18 1, s:1, b:0),
% 10.83/11.18 'class_RealVector_Oreal__field' [124, 1] (w:1, o:125, a:1, s:1, b:0)
% 10.83/11.18 ,
% 10.83/11.18 'class_Ring__and__Field_Oring__1' [126, 1] (w:1, o:126, a:1, s:1, b:0
% 10.83/11.18 ),
% 10.83/11.18 'class_Power_Opower' [127, 1] (w:1, o:135, a:1, s:1, b:0),
% 10.83/11.18 'tc_fun' [129, 2] (w:1, o:171, a:1, s:1, b:0),
% 10.83/11.18 'c_COMBB' [131, 5] (w:1, o:182, a:1, s:1, b:0),
% 10.83/11.18 'c_COMBS' [133, 5] (w:1, o:183, a:1, s:1, b:0),
% 10.83/11.18 'c_Finite__Set_Osetsum' [135, 4] (w:1, o:181, a:1, s:1, b:0),
% 10.83/11.18 'c_SetInterval_Oord__class_OatLeastLessThan' [136, 3] (w:1, o:177, a:
% 10.83/11.18 1, s:1, b:0),
% 10.83/11.18 'class_Ring__and__Field_Ocomm__ring__1' [137, 1] (w:1, o:110, a:1, s:
% 10.83/11.18 1, b:0),
% 10.83/11.18 'class_Ring__and__Field_Osemiring__0' [138, 1] (w:1, o:138, a:1, s:1
% 10.83/11.18 , b:0),
% 10.83/11.18 'class_Ring__and__Field_Ocomm__semiring__1' [139, 1] (w:1, o:111, a:1
% 10.83/11.18 , s:1, b:0),
% 10.83/11.18 'class_OrderedGroup_Omonoid__mult' [141, 1] (w:1, o:127, a:1, s:1, b:
% 10.83/11.18 0),
% 10.83/11.18 'c_FFT__Mirabelle_OIDFT' [144, 3] (w:1, o:178, a:1, s:1, b:0),
% 10.83/11.18 'c_COMBC' [145, 5] (w:1, o:184, a:1, s:1, b:0),
% 10.83/11.18 'class_RealVector_Oreal__normed__algebra__1' [147, 1] (w:1, o:139, a:
% 10.83/11.18 1, s:1, b:0),
% 10.83/11.18 'c_Series_Osuminf' [148, 2] (w:1, o:172, a:1, s:1, b:0),
% 10.83/11.18 'v_i' [149, 0] (w:1, o:54, a:1, s:1, b:0),
% 10.83/11.18 'c_FFT__Mirabelle_ODFT' [150, 3] (w:1, o:179, a:1, s:1, b:0),
% 10.83/11.18 'class_Ring__and__Field_Ocomm__semiring' [151, 1] (w:1, o:112, a:1
% 10.83/11.18 , s:1, b:0),
% 10.83/11.18 'class_OrderedGroup_Oab__semigroup__mult' [156, 1] (w:1, o:128, a:1
% 10.83/11.18 , s:1, b:0),
% 10.83/11.18 'class_OrderedGroup_Ocomm__monoid__mult' [157, 1] (w:1, o:129, a:1
% 10.83/11.18 , s:1, b:0),
% 10.83/11.18 'class_OrderedGroup_Oab__semigroup__idem__mult' [158, 1] (w:1, o:130
% 10.83/11.18 , a:1, s:1, b:0),
% 10.83/11.18 'class_Ring__and__Field_Ozero__neq__one' [159, 1] (w:1, o:140, a:1
% 10.83/11.18 , s:1, b:0),
% 10.83/11.18 'class_Ring__and__Field_Ono__zero__divisors' [160, 1] (w:1, o:92, a:1
% 10.83/11.18 , s:1, b:0),
% 10.83/11.18 'class_Ring__and__Field_Omult__zero' [161, 1] (w:1, o:91, a:1, s:1
% 10.83/11.18 , b:0),
% 10.83/11.18 'class_Ring__and__Field_Oring__1__no__zero__divisors' [162, 1] (w:1
% 10.83/11.18 , o:136, a:1, s:1, b:0),
% 10.83/11.18 'class_OrderedGroup_Ocancel__ab__semigroup__add' [163, 1] (w:1, o:131
% 10.83/11.18 , a:1, s:1, b:0),
% 10.83/11.18 'class_OrderedGroup_Ocancel__semigroup__add' [164, 1] (w:1, o:132, a:
% 10.83/11.18 1, s:1, b:0),
% 10.83/11.18 'class_Ring__and__Field_Oring__no__zero__divisors' [167, 1] (w:1, o:
% 10.83/11.18 137, a:1, s:1, b:0),
% 10.83/11.18 'class_Ring__and__Field_Osemiring' [168, 1] (w:1, o:141, a:1, s:1, b:
% 10.83/11.18 0),
% 10.83/11.18 'class_Ring__and__Field_Osemiring__1' [169, 1] (w:1, o:142, a:1, s:1
% 10.83/11.18 , b:0),
% 10.83/11.18 'class_OrderedGroup_Oab__semigroup__add' [171, 1] (w:1, o:133, a:1
% 10.83/11.18 , s:1, b:0),
% 10.83/11.18 'class_Int_Oring__char__0' [175, 1] (w:1, o:143, a:1, s:1, b:0),
% 10.83/11.18 'class_OrderedGroup_Omonoid__add' [176, 1] (w:1, o:134, a:1, s:1, b:0
% 10.83/11.18 ),
% 10.83/11.18 'v_a' [177, 0] (w:1, o:60, a:1, s:1, b:0),
% 10.83/11.18 'v_m' [178, 0] (w:1, o:61, a:1, s:1, b:0),
% 10.83/11.18 'tc_Int_Oint' [181, 0] (w:1, o:64, a:1, s:1, b:0),
% 10.83/11.18 'c_fequal' [182, 3] (w:1, o:180, a:1, s:1, b:0).
% 10.83/11.18
% 10.83/11.18
% 10.83/11.18 Starting Search:
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18
% 10.83/11.18 Intermediate Status:
% 10.83/11.18 Generated: 4167
% 10.83/11.18 Kept: 2323
% 10.83/11.18 Inuse: 180
% 10.83/11.18 Deleted: 1
% 10.83/11.18 Deletedinuse: 0
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18
% 10.83/11.18 Intermediate Status:
% 10.83/11.18 Generated: 9137
% 10.83/11.18 Kept: 4326
% 10.83/11.18 Inuse: 245
% 10.83/11.18 Deleted: 1
% 10.83/11.18 Deletedinuse: 0
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18
% 10.83/11.18 Intermediate Status:
% 10.83/11.18 Generated: 15934
% 10.83/11.18 Kept: 7318
% 10.83/11.18 Inuse: 345
% 10.83/11.18 Deleted: 3
% 10.83/11.18 Deletedinuse: 0
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18
% 10.83/11.18 Intermediate Status:
% 10.83/11.18 Generated: 23916
% 10.83/11.18 Kept: 9463
% 10.83/11.18 Inuse: 397
% 10.83/11.18 Deleted: 4
% 10.83/11.18 Deletedinuse: 0
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18
% 10.83/11.18 Intermediate Status:
% 10.83/11.18 Generated: 27643
% 10.83/11.18 Kept: 11465
% 10.83/11.18 Inuse: 437
% 10.83/11.18 Deleted: 5
% 10.83/11.18 Deletedinuse: 0
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18
% 10.83/11.18 Intermediate Status:
% 10.83/11.18 Generated: 33021
% 10.83/11.18 Kept: 13469
% 10.83/11.18 Inuse: 515
% 10.83/11.18 Deleted: 6
% 10.83/11.18 Deletedinuse: 0
% 10.83/11.18
% 10.83/11.18 Resimplifying inuse:
% 10.83/11.18 Done
% 10.83/11.18
% 10.83/11.18
% 10.83/11.18 Intermediate Status:
% 10.83/11.18 Generated: 37853
% 10.83/11.18 Kept: 15605
% 10.83/11.18 Inuse: 570
% 38.24/38.60 Deleted: 6
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 50041
% 38.24/38.60 Kept: 18150
% 38.24/38.60 Inuse: 590
% 38.24/38.60 Deleted: 6
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying clauses:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 59254
% 38.24/38.60 Kept: 20231
% 38.24/38.60 Inuse: 610
% 38.24/38.60 Deleted: 179
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 64678
% 38.24/38.60 Kept: 22489
% 38.24/38.60 Inuse: 625
% 38.24/38.60 Deleted: 179
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 69473
% 38.24/38.60 Kept: 24496
% 38.24/38.60 Inuse: 640
% 38.24/38.60 Deleted: 179
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 76177
% 38.24/38.60 Kept: 26890
% 38.24/38.60 Inuse: 683
% 38.24/38.60 Deleted: 179
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 82892
% 38.24/38.60 Kept: 28974
% 38.24/38.60 Inuse: 730
% 38.24/38.60 Deleted: 179
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 91447
% 38.24/38.60 Kept: 31054
% 38.24/38.60 Inuse: 745
% 38.24/38.60 Deleted: 179
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 98646
% 38.24/38.60 Kept: 33067
% 38.24/38.60 Inuse: 794
% 38.24/38.60 Deleted: 179
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 105285
% 38.24/38.60 Kept: 35072
% 38.24/38.60 Inuse: 837
% 38.24/38.60 Deleted: 179
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 115366
% 38.24/38.60 Kept: 37339
% 38.24/38.60 Inuse: 885
% 38.24/38.60 Deleted: 179
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 123861
% 38.24/38.60 Kept: 39387
% 38.24/38.60 Inuse: 920
% 38.24/38.60 Deleted: 179
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying clauses:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 136227
% 38.24/38.60 Kept: 41464
% 38.24/38.60 Inuse: 940
% 38.24/38.60 Deleted: 340
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 145624
% 38.24/38.60 Kept: 43474
% 38.24/38.60 Inuse: 972
% 38.24/38.60 Deleted: 340
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 155071
% 38.24/38.60 Kept: 45569
% 38.24/38.60 Inuse: 1000
% 38.24/38.60 Deleted: 340
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 161775
% 38.24/38.60 Kept: 47724
% 38.24/38.60 Inuse: 1020
% 38.24/38.60 Deleted: 340
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 175394
% 38.24/38.60 Kept: 50285
% 38.24/38.60 Inuse: 1055
% 38.24/38.60 Deleted: 340
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 182333
% 38.24/38.60 Kept: 52299
% 38.24/38.60 Inuse: 1084
% 38.24/38.60 Deleted: 340
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 189233
% 38.24/38.60 Kept: 54684
% 38.24/38.60 Inuse: 1105
% 38.24/38.60 Deleted: 340
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 196198
% 38.24/38.60 Kept: 56854
% 38.24/38.60 Inuse: 1130
% 38.24/38.60 Deleted: 340
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 203168
% 38.24/38.60 Kept: 58947
% 38.24/38.60 Inuse: 1155
% 38.24/38.60 Deleted: 340
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 210731
% 38.24/38.60 Kept: 61327
% 38.24/38.60 Inuse: 1170
% 38.24/38.60 Deleted: 340
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying clauses:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 221720
% 38.24/38.60 Kept: 64624
% 38.24/38.60 Inuse: 1180
% 38.24/38.60 Deleted: 410
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 229446
% 38.24/38.60 Kept: 66711
% 38.24/38.60 Inuse: 1190
% 38.24/38.60 Deleted: 410
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 239519
% 38.24/38.60 Kept: 69070
% 38.24/38.60 Inuse: 1215
% 38.24/38.60 Deleted: 410
% 38.24/38.60 Deletedinuse: 0
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60 Resimplifying inuse:
% 38.24/38.60 Done
% 38.24/38.60
% 38.24/38.60
% 38.24/38.60 Intermediate Status:
% 38.24/38.60 Generated: 247219
% 93.54/93.99 Kept: 71295
% 93.54/93.99 Inuse: 1235
% 93.54/93.99 Deleted: 410
% 93.54/93.99 Deletedinuse: 0
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 255254
% 93.54/93.99 Kept: 73426
% 93.54/93.99 Inuse: 1255
% 93.54/93.99 Deleted: 410
% 93.54/93.99 Deletedinuse: 0
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 263668
% 93.54/93.99 Kept: 75429
% 93.54/93.99 Inuse: 1280
% 93.54/93.99 Deleted: 410
% 93.54/93.99 Deletedinuse: 0
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 272669
% 93.54/93.99 Kept: 77433
% 93.54/93.99 Inuse: 1308
% 93.54/93.99 Deleted: 410
% 93.54/93.99 Deletedinuse: 0
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 281000
% 93.54/93.99 Kept: 79445
% 93.54/93.99 Inuse: 1330
% 93.54/93.99 Deleted: 410
% 93.54/93.99 Deletedinuse: 0
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying clauses:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 290509
% 93.54/93.99 Kept: 81449
% 93.54/93.99 Inuse: 1362
% 93.54/93.99 Deleted: 818
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 303608
% 93.54/93.99 Kept: 83449
% 93.54/93.99 Inuse: 1380
% 93.54/93.99 Deleted: 818
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 313235
% 93.54/93.99 Kept: 85520
% 93.54/93.99 Inuse: 1410
% 93.54/93.99 Deleted: 818
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 323342
% 93.54/93.99 Kept: 87942
% 93.54/93.99 Inuse: 1440
% 93.54/93.99 Deleted: 818
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 342390
% 93.54/93.99 Kept: 91757
% 93.54/93.99 Inuse: 1475
% 93.54/93.99 Deleted: 818
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 353980
% 93.54/93.99 Kept: 94023
% 93.54/93.99 Inuse: 1485
% 93.54/93.99 Deleted: 818
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 362671
% 93.54/93.99 Kept: 96255
% 93.54/93.99 Inuse: 1515
% 93.54/93.99 Deleted: 818
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 376222
% 93.54/93.99 Kept: 99595
% 93.54/93.99 Inuse: 1540
% 93.54/93.99 Deleted: 818
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying clauses:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 384633
% 93.54/93.99 Kept: 101603
% 93.54/93.99 Inuse: 1551
% 93.54/93.99 Deleted: 997
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 393988
% 93.54/93.99 Kept: 103609
% 93.54/93.99 Inuse: 1582
% 93.54/93.99 Deleted: 997
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 413422
% 93.54/93.99 Kept: 107860
% 93.54/93.99 Inuse: 1615
% 93.54/93.99 Deleted: 997
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 423088
% 93.54/93.99 Kept: 110080
% 93.54/93.99 Inuse: 1640
% 93.54/93.99 Deleted: 997
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 449542
% 93.54/93.99 Kept: 114361
% 93.54/93.99 Inuse: 1645
% 93.54/93.99 Deleted: 997
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 457384
% 93.54/93.99 Kept: 116867
% 93.54/93.99 Inuse: 1665
% 93.54/93.99 Deleted: 997
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 466121
% 93.54/93.99 Kept: 119076
% 93.54/93.99 Inuse: 1685
% 93.54/93.99 Deleted: 997
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 473527
% 93.54/93.99 Kept: 121092
% 93.54/93.99 Inuse: 1709
% 93.54/93.99 Deleted: 997
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying clauses:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 480711
% 93.54/93.99 Kept: 123390
% 93.54/93.99 Inuse: 1730
% 93.54/93.99 Deleted: 1240
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 487461
% 93.54/93.99 Kept: 125402
% 93.54/93.99 Inuse: 1748
% 93.54/93.99 Deleted: 1240
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 495062
% 93.54/93.99 Kept: 127953
% 93.54/93.99 Inuse: 1770
% 93.54/93.99 Deleted: 1240
% 93.54/93.99 Deletedinuse: 3
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99 Resimplifying inuse:
% 93.54/93.99 Done
% 93.54/93.99
% 93.54/93.99
% 93.54/93.99 Intermediate Status:
% 93.54/93.99 Generated: 503185
% 93.54/93.99 Kept: 130121
% 93.54/93.99 Inuse: 1795
% 271.30/271.78 Deleted: 1240
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 518132
% 271.30/271.78 Kept: 134153
% 271.30/271.78 Inuse: 1815
% 271.30/271.78 Deleted: 1240
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 526554
% 271.30/271.78 Kept: 136424
% 271.30/271.78 Inuse: 1840
% 271.30/271.78 Deleted: 1240
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 534683
% 271.30/271.78 Kept: 138673
% 271.30/271.78 Inuse: 1860
% 271.30/271.78 Deleted: 1240
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 543442
% 271.30/271.78 Kept: 140974
% 271.30/271.78 Inuse: 1880
% 271.30/271.78 Deleted: 1240
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying clauses:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 560382
% 271.30/271.78 Kept: 143123
% 271.30/271.78 Inuse: 1905
% 271.30/271.78 Deleted: 1420
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 569788
% 271.30/271.78 Kept: 145557
% 271.30/271.78 Inuse: 1925
% 271.30/271.78 Deleted: 1420
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 579354
% 271.30/271.78 Kept: 147560
% 271.30/271.78 Inuse: 1944
% 271.30/271.78 Deleted: 1420
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 589138
% 271.30/271.78 Kept: 149882
% 271.30/271.78 Inuse: 1960
% 271.30/271.78 Deleted: 1420
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 598781
% 271.30/271.78 Kept: 152385
% 271.30/271.78 Inuse: 1980
% 271.30/271.78 Deleted: 1420
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 607607
% 271.30/271.78 Kept: 154439
% 271.30/271.78 Inuse: 2000
% 271.30/271.78 Deleted: 1420
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 617917
% 271.30/271.78 Kept: 156460
% 271.30/271.78 Inuse: 2020
% 271.30/271.78 Deleted: 1420
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 642627
% 271.30/271.78 Kept: 160172
% 271.30/271.78 Inuse: 2045
% 271.30/271.78 Deleted: 1420
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying clauses:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 651578
% 271.30/271.78 Kept: 162387
% 271.30/271.78 Inuse: 2075
% 271.30/271.78 Deleted: 1586
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 656787
% 271.30/271.78 Kept: 164446
% 271.30/271.78 Inuse: 2095
% 271.30/271.78 Deleted: 1586
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 667850
% 271.30/271.78 Kept: 167274
% 271.30/271.78 Inuse: 2100
% 271.30/271.78 Deleted: 1586
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 677101
% 271.30/271.78 Kept: 169824
% 271.30/271.78 Inuse: 2120
% 271.30/271.78 Deleted: 1586
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 711346
% 271.30/271.78 Kept: 176441
% 271.30/271.78 Inuse: 2145
% 271.30/271.78 Deleted: 1586
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 719254
% 271.30/271.78 Kept: 178819
% 271.30/271.78 Inuse: 2170
% 271.30/271.78 Deleted: 1586
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 729716
% 271.30/271.78 Kept: 181114
% 271.30/271.78 Inuse: 2200
% 271.30/271.78 Deleted: 1586
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 769286
% 271.30/271.78 Kept: 188674
% 271.30/271.78 Inuse: 2210
% 271.30/271.78 Deleted: 1586
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying clauses:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 776559
% 271.30/271.78 Kept: 190761
% 271.30/271.78 Inuse: 2235
% 271.30/271.78 Deleted: 1747
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 790259
% 271.30/271.78 Kept: 194190
% 271.30/271.78 Inuse: 2245
% 271.30/271.78 Deleted: 1747
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 803322
% 271.30/271.78 Kept: 197343
% 271.30/271.78 Inuse: 2250
% 271.30/271.78 Deleted: 1747
% 271.30/271.78 Deletedinuse: 3
% 271.30/271.78
% 271.30/271.78 Resimplifying inuse:
% 271.30/271.78 Done
% 271.30/271.78
% 271.30/271.78
% 271.30/271.78 Intermediate Status:
% 271.30/271.78 Generated: 853961
% 271.30/271.78 Kept: 202758
% 271.30/271.78 Inuse: 2255
% 271.30/271.78 Deleted: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------