TSTP Solution File: SWV658-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV658-1 : 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 16:27:33 EDT 2022
% Result : Timeout 300.02s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV658-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Wed Jun 15 08:18:47 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.05/1.42 *** allocated 10000 integers for termspace/termends
% 1.05/1.42 *** allocated 10000 integers for clauses
% 1.05/1.42 *** allocated 10000 integers for justifications
% 1.05/1.42 *** allocated 15000 integers for termspace/termends
% 1.05/1.42 *** allocated 22500 integers for termspace/termends
% 1.05/1.42 Bliksem 1.12
% 1.05/1.42
% 1.05/1.42
% 1.05/1.42 Automatic Strategy Selection
% 1.05/1.42
% 1.05/1.42 Clauses:
% 1.05/1.42 [
% 1.05/1.42 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.05/1.42 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.05/1.42 X ), Z, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.05/1.42 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.05/1.42 X ), Z, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.05/1.42 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.05/1.42 X, X ), Z, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.05/1.42 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.05/1.42 X, X ), Z, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.42 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.05/1.42 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.42 ), Y ) ), Z ) ), Z ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.05/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.42 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.42 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.05/1.42 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.42 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.42 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Z ), T ) ), W ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.05/1.42 ), W, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.05/1.42 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Z ), U ) ), W ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.05/1.42 ), X ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.05/1.42 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ) ) ), =( Y, Z ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ) ) ), =( Y, Z ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.42 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.42 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.42 , Y ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.05/1.42 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.05/1.42 ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.05/1.42 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.05/1.42 ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.05/1.42 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.05/1.42 ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.05/1.42 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.05/1.42 ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ), Y ) ],
% 1.05/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ), Y ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ), Y ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.05/1.42 , X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.05/1.42 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.05/1.42 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.05/1.42 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.05/1.42 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.05/1.42 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.42 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.05/1.42 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.05/1.42 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.05/1.42 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.05/1.42 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBS'(
% 1.05/1.42 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.05/1.42 ), Y ), Z ), X ), hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ),
% 1.05/1.42 'tc_nat', X, 'tc_nat' ), X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), 'tc_nat', X, X ), X, 'tc_fun'( X
% 1.05/1.42 , X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ),
% 1.05/1.42 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.05/1.42 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( Y, X )
% 1.05/1.42 , X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBS'( 'c_COMBB'(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBB'(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.05/1.42 ), Y ), Z ), X ), hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ),
% 1.05/1.42 'tc_nat', X, 'tc_nat' ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.05/1.42 'tc_nat', X, X ), 'tc_nat', X, X ),
% 1.05/1.42 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.42 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.42 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.05/1.42 'c_lessequals'( Z, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.42 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.05/1.42 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.05/1.42 'c_lessequals'( Z, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.42 X ), Y ), Z ) ), Z ), Y ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.05/1.42 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), Z ), Y ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.05/1.42 ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.05/1.42 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.05/1.42 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.42 'tc_nat' ), X ), Y ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.05/1.42 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.05/1.42 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.05/1.42 ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 'tc_nat' ) ), Y ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 'tc_nat' ) ), Y ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.05/1.42 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.05/1.42 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.05/1.42 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.05/1.42 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.05/1.42 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.05/1.42 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.05/1.42 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.05/1.42 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 'tc_nat' ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.05/1.42 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.05/1.42 ), X ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.05/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.05/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.05/1.42 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.42 ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.05/1.42 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.05/1.42 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.05/1.42 ), Y ), T ), Z, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.05/1.42 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), T ), Z ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.05/1.42 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.05/1.42 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.05/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.05/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.05/1.42 ), X ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.42 , Y ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.42 , 'c_HOL_Oone__class_Oone'( X ) ), X ), Z ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.42 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.05/1.42 ~( 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), hAPP(
% 1.05/1.42 'c_Suc', T ) ), hAPP( 'c_Power_Opower__class_Opower'( Z, X ), hAPP(
% 1.05/1.42 'c_Suc', T ) ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( T, X ), hAPP( 'c_Suc', Z ) ) ) ), =( Y, T
% 1.05/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.05/1.42 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.05/1.42 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.05/1.42 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.05/1.42 , X ) ) ) ],
% 1.05/1.42 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.05/1.42 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.05/1.42 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.05/1.42 'tc_nat' ) ) ],
% 1.05/1.42 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.05/1.42 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.05/1.42 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.05/1.42 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.05/1.42 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.05/1.42 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Z, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.05/1.42 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 Y, X ), hAPP( 'c_Suc', Z ) ) ), hAPP( 'c_Power_Opower__class_Opower'( T,
% 1.05/1.42 X ), hAPP( 'c_Suc', Z ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.05/1.42 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ),
% 1.05/1.42 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( Y, X )
% 1.05/1.42 , X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'(
% 1.05/1.42 'c_Power_Opower__class_Opower'( T, X ), hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.05/1.42 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ),
% 1.05/1.42 'tc_nat', X ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.42 , Y ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.42 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.05/1.42 ~( 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Power_Opower__class_Opower'( Z,
% 1.05/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Power_Opower__class_Opower'( Z,
% 1.05/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.42 , Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 Y, X ), Z ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) )
% 1.05/1.42 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_Power_Opower__class_Opower'( Z
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( 'c_Power_Opower__class_Opower'( Z
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( 'c_Power_Opower__class_Opower'( Z
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.42 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.42 , 'c_HOL_Oone__class_Oone'( X ) ), X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ) ],
% 1.05/1.42 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.42 X ), Y ), Z ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( 'c_Power_Opower__class_Opower'( Z
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.05/1.42 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.05/1.42 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.05/1.42 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.05/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.42 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.05/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.42 'c_lessequals'( Z, Y, X ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.05/1.42 ), Y ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.05/1.42 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.05/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.05/1.42 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.42 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.42 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Z ), Y ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Z ), Y ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.05/1.42 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.05/1.42 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.42 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.42 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.42 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.05/1.42 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.05/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.05/1.42 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.05/1.42 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), T ), Z ) ), U ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.05/1.42 ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.05/1.42 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.05/1.42 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.05/1.42 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.42 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.42 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( T, X ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.42 , X ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.42 , X ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.05/1.42 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.05/1.42 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.05/1.42 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Oone__class_Oone'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.05/1.42 ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.05/1.42 ],
% 1.05/1.42 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.42 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.05/1.42 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.05/1.42 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.05/1.42 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.42 , X ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.42 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OMin', X ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OMin', X ), X ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.42 , 'c_HOL_Oone__class_Oone'( X ) ), X ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.05/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.05/1.42 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.05/1.42 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.05/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.05/1.42 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.05/1.42 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.05/1.42 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( Y, X )
% 1.05/1.42 , X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Z, X ), hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.05/1.42 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.05/1.42 'tc_nat', X ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.05/1.42 , 'tc_fun'( X, X ), 'tc_nat' ), 'c_Power_Opower__class_Opower'( Z, X ),
% 1.05/1.42 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.05/1.42 'tc_nat', X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.05/1.42 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.05/1.42 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.05/1.42 'c_COMBB'( 'c_Power_Opower__class_Opower'( Z, X ), hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.05/1.42 , X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.05/1.42 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_Finite__Set_Osetsum'(
% 1.05/1.42 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.05/1.42 'c_COMBB'( 'c_Power_Opower__class_Opower'( Z, X ), hAPP(
% 1.05/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.05/1.42 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.05/1.42 'tc_nat', X ) ) ) ],
% 1.05/1.42 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.05/1.42 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.05/1.42 ), 'c_COMBB'( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 1.05/1.42 X ), 'tc_Complex_Ocomplex' ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.05/1.42 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.05/1.42 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat', 'tc_Complex_Ocomplex',
% 1.05/1.42 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ), 'tc_nat',
% 1.05/1.42 'tc_Complex_Ocomplex' ) ) ],
% 1.05/1.42 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.05/1.42 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.05/1.42 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.05/1.42 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ),
% 1.05/1.42 'tc_Complex_Ocomplex' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.05/1.42 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.05/1.42 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.05/1.42 ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.05/1.42 ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.05/1.42 ) ],
% 1.05/1.42 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.05/1.42 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.05/1.42 ), Y ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.05/1.42 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.05/1.42 , X ) ), Z ) ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.05/1.42 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.05/1.42 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.05/1.42 ), Y ), Z ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( 'c_Power_Opower__class_Opower'( Z
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.42 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.05/1.42 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.05/1.42 ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.05/1.42 ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.05/1.42 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.42 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Z, X ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.42 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Z, X ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OPls', X ) ), Y ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.05/1.42 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.05/1.42 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.42 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.05/1.42 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.05/1.42 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.42 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.05/1.42 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ), Y ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( 'c_Power_Opower__class_Opower'( Z
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.42 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( 'c_Power_Opower__class_Opower'( Z
% 1.05/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.42 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.05/1.42 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.42 ), =( hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Power_Opower'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.05/1.42 =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.42 ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), T ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Z, X ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ =( hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X )
% 1.05/1.42 , 'tc_Complex_Ocomplex' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.42 'tc_Complex_Ocomplex' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.05/1.42 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.05/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.42 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Z, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.05/1.42 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.05/1.42 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'( Y,
% 1.05/1.42 X ), Z ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.05/1.42 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.05/1.42 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.05/1.42 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.05/1.42 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.05/1.42 'c_Suc', Y ) ) ) ],
% 1.05/1.42 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.05/1.42 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'( Y,
% 1.05/1.42 X ), Z ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.05/1.42 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.05/1.42 ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ),
% 1.05/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.05/1.42 , Y ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.05/1.42 , Y ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.05/1.42 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.05/1.42 [ =( hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_Complex_Ocomplex' ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ),
% 1.05/1.42 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 'tc_nat' ), Y ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.05/1.42 X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.05/1.42 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.05/1.42 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.05/1.42 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.42 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.05/1.42 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.05/1.42 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.05/1.42 , X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 Y, X ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.05/1.42 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.05/1.42 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.05/1.42 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.05/1.42 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.05/1.42 Y ) ) ],
% 1.05/1.42 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.05/1.42 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.42 ), Y ) ) ],
% 1.05/1.42 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.05/1.42 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.05/1.42 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 Y, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.42 ), =( hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.05/1.42 , Z ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.05/1.42 , Z ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.05/1.42 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.05/1.42 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 Y, X ), Z ) ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.05/1.42 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.05/1.42 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.42 ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.42 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.05/1.42 ) ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.05/1.42 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.05/1.42 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.05/1.42 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ) ) ],
% 1.05/1.42 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), Z ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 Y, X ), Z ) ), Y ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), hAPP(
% 1.05/1.42 'c_Suc', Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.05/1.42 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), T ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), T ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Z, X ), T ) ) ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.42 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.42 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.42 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'( Y,
% 1.05/1.42 X ), Z ), X ), T ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.42 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.42 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.42 ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 Y, X ), Z ) ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.42 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.05/1.42 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.05/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.05/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.42 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.05/1.42 , Y ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.05/1.42 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.05/1.42 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.05/1.42 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 'c_Suc', Y ) ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.05/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.05/1.42 Y ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.05/1.42 Y ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.05/1.42 Y ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.05/1.42 Y ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.05/1.42 Y ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.05/1.42 Y ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.05/1.42 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ) ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.05/1.42 ), X ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.42 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.42 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.42 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.05/1.42 ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.42 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'( Y,
% 1.05/1.42 X ), Z ), X ), T ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.42 Y, X ), Z ) ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_Power_Opower'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.05/1.42 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.42 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.05/1.42 ,
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), T ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.05/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.05/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.05/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), T ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.05/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( Y, X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.43 Y, X ), Z ) ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.43 ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.43 ) ) ],
% 1.05/1.43 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.05/1.43 , W ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.43 X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.43 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.43 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.43 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.43 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.05/1.43 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.05/1.43 , X ) ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.43 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.05/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.05/1.43 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.05/1.43 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.05/1.43 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.05/1.43 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.05/1.43 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.05/1.43 ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.05/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.43 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.43 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.43 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.43 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( Y, X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.43 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.43 Y, X ), Z ) ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.43 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.43 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.05/1.43 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.43 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), X ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.05/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.43 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.05/1.43 , Y ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.43 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.43 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.43 ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.43 ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.05/1.43 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.05/1.43 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.43 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.05/1.43 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.05/1.43 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.05/1.43 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.43 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ), 'tc_Complex_Ocomplex' ),
% 1.05/1.43 'c_COMBB'( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_i' ),
% 1.05/1.43 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.05/1.43 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.05/1.43 , 'tc_nat', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.05/1.43 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.05/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ),
% 1.05/1.43 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ),
% 1.05/1.43 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.05/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ),
% 1.05/1.43 'tc_Complex_Ocomplex' ), 'v_i' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBS'(
% 1.05/1.43 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ),
% 1.05/1.43 'c_COMBB'( 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.05/1.43 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat',
% 1.05/1.43 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.05/1.43 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.05/1.43 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.05/1.43 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_m' ),
% 1.05/1.43 'tc_Complex_Ocomplex' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.05/1.43 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.05/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.05/1.43 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.05/1.43 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.05/1.43 'class_Orderings_Opreorder'( Y ) ) ],
% 1.05/1.43 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.05/1.43 'class_Orderings_Oorder'( Y ) ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.05/1.43 ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.05/1.43 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.05/1.43 ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.05/1.43 ],
% 1.05/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.05/1.43 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.05/1.43 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.05/1.43 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.05/1.43 ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.05/1.43 ],
% 1.05/1.43 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.05/1.43 ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.05/1.43 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.05/1.43 , W ) ) ) ],
% 1.05/1.43 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'c_fequal'( X, X, Y ) ],
% 1.05/1.43 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.05/1.43 ] .
% 1.05/1.43
% 1.05/1.43
% 1.05/1.43 percentage equality = 0.379730, percentage horn = 0.892523
% 1.05/1.43 This is a problem with some equality
% 1.05/1.43
% 1.05/1.43
% 1.05/1.43
% 1.05/1.43 Options Used:
% 1.05/1.43
% 1.05/1.43 useres = 1
% 1.05/1.43 useparamod = 1
% 1.05/1.43 useeqrefl = 1
% 1.05/1.43 useeqfact = 1
% 1.05/1.43 usefactor = 1
% 1.05/1.43 usesimpsplitting = 0
% 1.05/1.43 usesimpdemod = 5
% 1.05/1.43 usesimpres = 3
% 1.05/1.43
% 1.05/1.43 resimpinuse = 1000
% 1.05/1.43 resimpclauses = 20000
% 1.05/1.43 substype = eqrewr
% 1.05/1.43 backwardsubs = 1
% 1.05/1.43 selectoldest = 5
% 1.05/1.43
% 1.05/1.43 litorderings [0] = split
% 1.05/1.43 litorderings [1] = extend the termordering, first sorting on arguments
% 1.05/1.43
% 1.05/1.43 termordering = kbo
% 1.05/1.43
% 1.05/1.43 litapriori = 0
% 1.05/1.43 termapriori = 1
% 1.05/1.43 litaposteriori = 0
% 1.05/1.43 termaposteriori = 0
% 1.05/1.43 demodaposteriori = 0
% 1.05/1.43 ordereqreflfact = 0
% 1.05/1.43
% 1.05/1.43 litselect = negord
% 1.05/1.43
% 1.05/1.43 maxweight = 15
% 1.05/1.43 maxdepth = 30000
% 1.05/1.43 maxlength = 115
% 1.05/1.43 maxnrvars = 195
% 1.05/1.43 excuselevel = 1
% 1.05/1.43 increasemaxweight = 1
% 1.05/1.43
% 1.05/1.43 maxselected = 10000000
% 1.05/1.43 maxnrclauses = 10000000
% 1.05/1.43
% 1.05/1.43 showgenerated = 0
% 1.05/1.43 showkept = 0
% 1.05/1.43 showselected = 0
% 1.05/1.43 showdeleted = 0
% 1.05/1.43 showresimp = 1
% 1.05/1.43 showstatus = 2000
% 1.05/1.43
% 1.05/1.43 prologoutput = 1
% 1.05/1.43 nrgoals = 5000000
% 1.05/1.43 totalproof = 1
% 1.05/1.43
% 1.05/1.43 Symbols occurring in the translation:
% 1.05/1.43
% 1.05/1.43 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.05/1.43 . [1, 2] (w:1, o:135, a:1, s:1, b:0),
% 1.05/1.43 ! [4, 1] (w:0, o:64, a:1, s:1, b:0),
% 1.05/1.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.05/1.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.05/1.43 'c_COMBC' [44, 5] (w:1, o:171, a:1, s:1, b:0),
% 1.05/1.43 hAPP [46, 2] (w:1, o:160, a:1, s:1, b:0),
% 1.05/1.43 'class_Ring__and__Field_Osemiring__0' [47, 1] (w:1, o:73, a:1, s:1
% 1.05/1.43 , b:0),
% 1.05/1.43 'c_HOL_Otimes__class_Otimes' [48, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.05/1.43 'c_Finite__Set_Osetsum' [51, 4] (w:1, o:169, a:1, s:1, b:0),
% 1.05/1.43 'tc_fun' [53, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.05/1.43 'c_COMBB' [54, 5] (w:1, o:170, a:1, s:1, b:0),
% 1.05/1.43 'class_RealVector_Oreal__normed__algebra' [55, 1] (w:1, o:75, a:1, s:
% 1.05/1.43 1, b:0),
% 1.05/1.43 'class_Ring__and__Field_Ofield' [58, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.05/1.43 'c_HOL_Oinverse__class_Odivide' [59, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.05/1.43 'class_RealVector_Oreal__normed__field' [60, 1] (w:1, o:78, a:1, s:1
% 1.05/1.43 , b:0),
% 1.05/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [61, 1]
% 1.05/1.43 (w:1, o:80, a:1, s:1, b:0),
% 1.05/1.43 'c_HOL_Oplus__class_Oplus' [62, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.05/1.43 'c_lessequals' [66, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.05/1.43 'class_OrderedGroup_Ogroup__add' [67, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.05/1.43
% 1.05/1.43 'c_HOL_Ouminus__class_Ouminus' [68, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.05/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add' [69, 1] (w:1, o:85
% 1.05/1.43 , a:1, s:1, b:0),
% 1.05/1.43 'class_OrderedGroup_Oab__group__add' [71, 1] (w:1, o:86, a:1, s:1, b:
% 1.05/1.43 0),
% 1.05/1.43 'class_OrderedGroup_Opordered__ab__group__add' [73, 1] (w:1, o:87, a:
% 1.05/1.43 1, s:1, b:0),
% 1.05/1.43 'class_Ring__and__Field_Opordered__ring' [74, 1] (w:1, o:94, a:1, s:1
% 1.05/1.43 , b:0),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus' [75, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.05/1.43 'class_Ring__and__Field_Oidom' [82, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.05/1.43 'class_Ring__and__Field_Oring' [83, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.05/1.43 'class_OrderedGroup_Olordered__ab__group__add' [84, 1] (w:1, o:97, a:
% 6.66/7.08 1, s:1, b:0),
% 6.66/7.08 'c_HOL_Ozero__class_Ozero' [85, 1] (w:1, o:98, a:1, s:1, b:0),
% 6.66/7.08 'class_Int_Onumber__ring' [86, 1] (w:1, o:99, a:1, s:1, b:0),
% 6.66/7.08 'class_OrderedGroup_Oordered__ab__group__add' [87, 1] (w:1, o:79, a:1
% 6.66/7.08 , s:1, b:0),
% 6.66/7.08 'class_Lattices_Oboolean__algebra' [88, 1] (w:1, o:100, a:1, s:1, b:0
% 6.66/7.08 ),
% 6.66/7.08 'tc_nat' [89, 0] (w:1, o:38, a:1, s:1, b:0),
% 6.66/7.08 'c_Suc' [95, 0] (w:1, o:43, a:1, s:1, b:0),
% 6.66/7.08 'c_HOL_Oone__class_Oone' [97, 1] (w:1, o:81, a:1, s:1, b:0),
% 6.66/7.08 'class_Orderings_Oorder' [98, 1] (w:1, o:101, a:1, s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Ocomm__ring' [100, 1] (w:1, o:102, a:1, s:1
% 6.66/7.08 , b:0),
% 6.66/7.08 'class_OrderedGroup_Omonoid__mult' [101, 1] (w:1, o:103, a:1, s:1, b:
% 6.66/7.08 0),
% 6.66/7.08 'c_Power_Opower__class_Opower' [103, 2] (w:1, o:162, a:1, s:1, b:0),
% 6.66/7.08
% 6.66/7.08 'c_COMBS' [104, 5] (w:1, o:172, a:1, s:1, b:0),
% 6.66/7.08 'c_SetInterval_Oord__class_OatLeastLessThan' [105, 3] (w:1, o:165, a:
% 6.66/7.08 1, s:1, b:0),
% 6.66/7.08 'c_Int_OMin' [106, 0] (w:1, o:49, a:1, s:1, b:0),
% 6.66/7.08 'c_Int_Onumber__class_Onumber__of' [107, 2] (w:1, o:163, a:1, s:1, b:
% 6.66/7.08 0),
% 6.66/7.08 'class_Ring__and__Field_Odivision__by__zero' [108, 1] (w:1, o:108, a:
% 6.66/7.08 1, s:1, b:0),
% 6.66/7.08 'c_Int_OBit1' [109, 1] (w:1, o:110, a:1, s:1, b:0),
% 6.66/7.08 'c_Int_OPls' [111, 0] (w:1, o:50, a:1, s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Ocomm__semiring__1' [112, 1] (w:1, o:106, a:1
% 6.66/7.08 , s:1, b:0),
% 6.66/7.08 'c_Int_OBit0' [113, 1] (w:1, o:109, a:1, s:1, b:0),
% 6.66/7.08 hBOOL [114, 1] (w:1, o:111, a:1, s:1, b:0),
% 6.66/7.08 'c_FFT__Mirabelle_Oroot' [115, 1] (w:1, o:112, a:1, s:1, b:0),
% 6.66/7.08 'tc_Complex_Ocomplex' [116, 0] (w:1, o:51, a:1, s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Oordered__ring__strict' [117, 1] (w:1, o:90
% 6.66/7.08 , a:1, s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Oordered__idom' [118, 1] (w:1, o:91, a:1, s:1
% 6.66/7.08 , b:0),
% 6.66/7.08 'class_Ring__and__Field_Oordered__field' [120, 1] (w:1, o:92, a:1, s:
% 6.66/7.08 1, b:0),
% 6.66/7.08 'class_RealVector_Oreal__field' [121, 1] (w:1, o:113, a:1, s:1, b:0)
% 6.66/7.08 ,
% 6.66/7.08 'class_Ring__and__Field_Oring__1' [122, 1] (w:1, o:70, a:1, s:1, b:0)
% 6.66/7.08 ,
% 6.66/7.08 'class_Ring__and__Field_Oordered__semidom' [123, 1] (w:1, o:93, a:1
% 6.66/7.08 , s:1, b:0),
% 6.66/7.08 'class_Int_Onumber' [124, 1] (w:1, o:114, a:1, s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Ocomm__ring__1' [125, 1] (w:1, o:104, a:1, s:
% 6.66/7.08 1, b:0),
% 6.66/7.08 'class_Orderings_Opreorder' [126, 1] (w:1, o:115, a:1, s:1, b:0),
% 6.66/7.08 'class_Orderings_Olinorder' [127, 1] (w:1, o:116, a:1, s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Omult__mono1' [128, 1] (w:1, o:117, a:1, s:1
% 6.66/7.08 , b:0),
% 6.66/7.08 'class_Ring__and__Field_Omult__mono' [129, 1] (w:1, o:118, a:1, s:1
% 6.66/7.08 , b:0),
% 6.66/7.08 'class_Ring__and__Field_Opordered__cancel__semiring' [130, 1] (w:1
% 6.66/7.08 , o:119, a:1, s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Opordered__semiring' [131, 1] (w:1, o:120, a:
% 6.66/7.08 1, s:1, b:0),
% 6.66/7.08 'class_OrderedGroup_Opordered__comm__monoid__add' [132, 1] (w:1, o:
% 6.66/7.08 121, a:1, s:1, b:0),
% 6.66/7.08 'class_OrderedGroup_Ocomm__monoid__add' [133, 1] (w:1, o:122, a:1, s:
% 6.66/7.08 1, b:0),
% 6.66/7.08 'class_Power_Opower' [135, 1] (w:1, o:130, a:1, s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Ocomm__semiring__0' [136, 1] (w:1, o:105, a:1
% 6.66/7.08 , s:1, b:0),
% 6.66/7.08 'v_i' [137, 0] (w:1, o:52, a:1, s:1, b:0),
% 6.66/7.08 'c_FFT__Mirabelle_ODFT' [138, 3] (w:1, o:166, a:1, s:1, b:0),
% 6.66/7.08 'c_FFT__Mirabelle_OIDFT' [139, 3] (w:1, o:167, a:1, s:1, b:0),
% 6.66/7.08 'class_OrderedGroup_Ocancel__ab__semigroup__add' [140, 1] (w:1, o:123
% 6.66/7.08 , a:1, s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Ocomm__semiring' [141, 1] (w:1, o:107, a:1
% 6.66/7.08 , s:1, b:0),
% 6.66/7.08 'class_OrderedGroup_Oab__semigroup__mult' [146, 1] (w:1, o:124, a:1
% 6.66/7.08 , s:1, b:0),
% 6.66/7.08 'class_OrderedGroup_Ocomm__monoid__mult' [147, 1] (w:1, o:125, a:1
% 6.66/7.08 , s:1, b:0),
% 6.66/7.08 'class_OrderedGroup_Oab__semigroup__idem__mult' [149, 1] (w:1, o:126
% 6.66/7.08 , a:1, s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Ozero__neq__one' [150, 1] (w:1, o:131, a:1
% 6.66/7.08 , s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Ono__zero__divisors' [151, 1] (w:1, o:89, a:1
% 6.66/7.08 , s:1, b:0),
% 6.66/7.08 'class_Ring__and__Field_Omult__zero' [152, 1] (w:1, o:88, a:1, s:1
% 32.45/32.84 , b:0),
% 32.45/32.84 'class_Ring__and__Field_Oring__1__no__zero__divisors' [153, 1] (w:1
% 32.45/32.84 , o:71, a:1, s:1, b:0),
% 32.45/32.84 'class_Ring__and__Field_Oring__no__zero__divisors' [154, 1] (w:1, o:
% 32.45/32.84 72, a:1, s:1, b:0),
% 32.45/32.84 'class_OrderedGroup_Ocancel__semigroup__add' [155, 1] (w:1, o:127, a:
% 32.45/32.84 1, s:1, b:0),
% 32.45/32.84 'class_Ring__and__Field_Osemiring' [159, 1] (w:1, o:132, a:1, s:1, b:
% 32.45/32.84 0),
% 32.45/32.84 'class_Ring__and__Field_Osemiring__1' [160, 1] (w:1, o:133, a:1, s:1
% 32.45/32.84 , b:0),
% 32.45/32.84 'class_OrderedGroup_Oab__semigroup__add' [162, 1] (w:1, o:128, a:1
% 32.45/32.84 , s:1, b:0),
% 32.45/32.84 'class_Int_Oring__char__0' [163, 1] (w:1, o:134, a:1, s:1, b:0),
% 32.45/32.84 'class_OrderedGroup_Omonoid__add' [164, 1] (w:1, o:129, a:1, s:1, b:0
% 32.45/32.84 ),
% 32.45/32.84 'v_a' [165, 0] (w:1, o:57, a:1, s:1, b:0),
% 32.45/32.84 'v_m' [166, 0] (w:1, o:58, a:1, s:1, b:0),
% 32.45/32.84 'tc_Int_Oint' [169, 0] (w:1, o:61, a:1, s:1, b:0),
% 32.45/32.84 'c_fequal' [170, 3] (w:1, o:168, a:1, s:1, b:0).
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Starting Search:
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 4958
% 32.45/32.84 Kept: 2261
% 32.45/32.84 Inuse: 139
% 32.45/32.84 Deleted: 2
% 32.45/32.84 Deletedinuse: 0
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 9855
% 32.45/32.84 Kept: 4522
% 32.45/32.84 Inuse: 179
% 32.45/32.84 Deleted: 2
% 32.45/32.84 Deletedinuse: 0
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 18230
% 32.45/32.84 Kept: 6559
% 32.45/32.84 Inuse: 254
% 32.45/32.84 Deleted: 2
% 32.45/32.84 Deletedinuse: 0
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 24552
% 32.45/32.84 Kept: 9183
% 32.45/32.84 Inuse: 320
% 32.45/32.84 Deleted: 2
% 32.45/32.84 Deletedinuse: 0
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 29945
% 32.45/32.84 Kept: 11294
% 32.45/32.84 Inuse: 364
% 32.45/32.84 Deleted: 2
% 32.45/32.84 Deletedinuse: 0
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 36665
% 32.45/32.84 Kept: 13447
% 32.45/32.84 Inuse: 414
% 32.45/32.84 Deleted: 2
% 32.45/32.84 Deletedinuse: 0
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 45387
% 32.45/32.84 Kept: 15923
% 32.45/32.84 Inuse: 490
% 32.45/32.84 Deleted: 6
% 32.45/32.84 Deletedinuse: 0
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 51605
% 32.45/32.84 Kept: 18515
% 32.45/32.84 Inuse: 531
% 32.45/32.84 Deleted: 11
% 32.45/32.84 Deletedinuse: 1
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 66458
% 32.45/32.84 Kept: 21498
% 32.45/32.84 Inuse: 551
% 32.45/32.84 Deleted: 11
% 32.45/32.84 Deletedinuse: 1
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying clauses:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 71890
% 32.45/32.84 Kept: 23517
% 32.45/32.84 Inuse: 591
% 32.45/32.84 Deleted: 195
% 32.45/32.84 Deletedinuse: 1
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 82073
% 32.45/32.84 Kept: 25988
% 32.45/32.84 Inuse: 625
% 32.45/32.84 Deleted: 196
% 32.45/32.84 Deletedinuse: 1
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 90026
% 32.45/32.84 Kept: 28007
% 32.45/32.84 Inuse: 655
% 32.45/32.84 Deleted: 197
% 32.45/32.84 Deletedinuse: 2
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 98122
% 32.45/32.84 Kept: 30008
% 32.45/32.84 Inuse: 704
% 32.45/32.84 Deleted: 197
% 32.45/32.84 Deletedinuse: 2
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 106065
% 32.45/32.84 Kept: 32183
% 32.45/32.84 Inuse: 735
% 32.45/32.84 Deleted: 197
% 32.45/32.84 Deletedinuse: 2
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 114592
% 32.45/32.84 Kept: 34320
% 32.45/32.84 Inuse: 775
% 32.45/32.84 Deleted: 200
% 32.45/32.84 Deletedinuse: 5
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 127378
% 32.45/32.84 Kept: 36377
% 32.45/32.84 Inuse: 814
% 32.45/32.84 Deleted: 201
% 32.45/32.84 Deletedinuse: 5
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 137821
% 32.45/32.84 Kept: 38534
% 32.45/32.84 Inuse: 839
% 32.45/32.84 Deleted: 201
% 32.45/32.84 Deletedinuse: 5
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 147546
% 32.45/32.84 Kept: 40611
% 32.45/32.84 Inuse: 859
% 32.45/32.84 Deleted: 201
% 32.45/32.84 Deletedinuse: 5
% 32.45/32.84
% 32.45/32.84 Resimplifying inuse:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84 Resimplifying clauses:
% 32.45/32.84 Done
% 32.45/32.84
% 32.45/32.84
% 32.45/32.84 Intermediate Status:
% 32.45/32.84 Generated: 155384
% 32.45/32.84 Kept: 42924
% 32.45/32.84 Inuse: 869
% 32.45/32.84 Deleted: 582
% 165.09/165.52 Deletedinuse: 5
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 169039
% 165.09/165.52 Kept: 46235
% 165.09/165.52 Inuse: 904
% 165.09/165.52 Deleted: 582
% 165.09/165.52 Deletedinuse: 5
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 177286
% 165.09/165.52 Kept: 48238
% 165.09/165.52 Inuse: 923
% 165.09/165.52 Deleted: 585
% 165.09/165.52 Deletedinuse: 8
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 186009
% 165.09/165.52 Kept: 50241
% 165.09/165.52 Inuse: 953
% 165.09/165.52 Deleted: 585
% 165.09/165.52 Deletedinuse: 8
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 199396
% 165.09/165.52 Kept: 52460
% 165.09/165.52 Inuse: 984
% 165.09/165.52 Deleted: 585
% 165.09/165.52 Deletedinuse: 8
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 208899
% 165.09/165.52 Kept: 54505
% 165.09/165.52 Inuse: 1014
% 165.09/165.52 Deleted: 585
% 165.09/165.52 Deletedinuse: 8
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 225705
% 165.09/165.52 Kept: 57341
% 165.09/165.52 Inuse: 1029
% 165.09/165.52 Deleted: 585
% 165.09/165.52 Deletedinuse: 8
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 234677
% 165.09/165.52 Kept: 59493
% 165.09/165.52 Inuse: 1054
% 165.09/165.52 Deleted: 585
% 165.09/165.52 Deletedinuse: 8
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 256525
% 165.09/165.52 Kept: 62701
% 165.09/165.52 Inuse: 1069
% 165.09/165.52 Deleted: 585
% 165.09/165.52 Deletedinuse: 8
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying clauses:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 282799
% 165.09/165.52 Kept: 65468
% 165.09/165.52 Inuse: 1078
% 165.09/165.52 Deleted: 797
% 165.09/165.52 Deletedinuse: 9
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 297238
% 165.09/165.52 Kept: 67527
% 165.09/165.52 Inuse: 1098
% 165.09/165.52 Deleted: 797
% 165.09/165.52 Deletedinuse: 9
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 321001
% 165.09/165.52 Kept: 71759
% 165.09/165.52 Inuse: 1123
% 165.09/165.52 Deleted: 798
% 165.09/165.52 Deletedinuse: 10
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 335225
% 165.09/165.52 Kept: 75568
% 165.09/165.52 Inuse: 1150
% 165.09/165.52 Deleted: 799
% 165.09/165.52 Deletedinuse: 11
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 368104
% 165.09/165.52 Kept: 81501
% 165.09/165.52 Inuse: 1182
% 165.09/165.52 Deleted: 800
% 165.09/165.52 Deletedinuse: 11
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 401853
% 165.09/165.52 Kept: 84135
% 165.09/165.52 Inuse: 1207
% 165.09/165.52 Deleted: 800
% 165.09/165.52 Deletedinuse: 11
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying clauses:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 413565
% 165.09/165.52 Kept: 86663
% 165.09/165.52 Inuse: 1227
% 165.09/165.52 Deleted: 918
% 165.09/165.52 Deletedinuse: 11
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 422007
% 165.09/165.52 Kept: 88677
% 165.09/165.52 Inuse: 1236
% 165.09/165.52 Deleted: 918
% 165.09/165.52 Deletedinuse: 11
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 455235
% 165.09/165.52 Kept: 91819
% 165.09/165.52 Inuse: 1237
% 165.09/165.52 Deleted: 918
% 165.09/165.52 Deletedinuse: 11
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 490273
% 165.09/165.52 Kept: 95046
% 165.09/165.52 Inuse: 1242
% 165.09/165.52 Deleted: 918
% 165.09/165.52 Deletedinuse: 11
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 501936
% 165.09/165.52 Kept: 97112
% 165.09/165.52 Inuse: 1245
% 165.09/165.52 Deleted: 920
% 165.09/165.52 Deletedinuse: 11
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 512288
% 165.09/165.52 Kept: 99275
% 165.09/165.52 Inuse: 1255
% 165.09/165.52 Deleted: 926
% 165.09/165.52 Deletedinuse: 12
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 526370
% 165.09/165.52 Kept: 102751
% 165.09/165.52 Inuse: 1265
% 165.09/165.52 Deleted: 927
% 165.09/165.52 Deletedinuse: 13
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying clauses:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 543841
% 165.09/165.52 Kept: 106485
% 165.09/165.52 Inuse: 1285
% 165.09/165.52 Deleted: 1562
% 165.09/165.52 Deletedinuse: 13
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 559158
% 165.09/165.52 Kept: 108500
% 165.09/165.52 Inuse: 1322
% 165.09/165.52 Deleted: 1562
% 165.09/165.52 Deletedinuse: 13
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 584376
% 165.09/165.52 Kept: 111837
% 165.09/165.52 Inuse: 1325
% 165.09/165.52 Deleted: 1562
% 165.09/165.52 Deletedinuse: 13
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52
% 165.09/165.52 Intermediate Status:
% 165.09/165.52 Generated: 610844
% 165.09/165.52 Kept: 115213
% 165.09/165.52 Inuse: 1330
% 165.09/165.52 Deleted: 1562
% 165.09/165.52 Deletedinuse: 13
% 165.09/165.52
% 165.09/165.52 Resimplifying inuse:
% 165.09/165.52 Done
% 165.09/165.52
% 165.09/165.52 ResimplifCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------