TSTP Solution File: SWV687-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV687-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 16:27:47 EDT 2022
% Result : Timeout 300.06s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV687-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 15 21:27:52 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.36/1.72 *** allocated 10000 integers for termspace/termends
% 1.36/1.72 *** allocated 10000 integers for clauses
% 1.36/1.72 *** allocated 10000 integers for justifications
% 1.36/1.72 *** allocated 15000 integers for termspace/termends
% 1.36/1.72 *** allocated 22500 integers for termspace/termends
% 1.36/1.72 *** allocated 33750 integers for termspace/termends
% 1.36/1.72 *** allocated 50625 integers for termspace/termends
% 1.36/1.72 Bliksem 1.12
% 1.36/1.72
% 1.36/1.72
% 1.36/1.72 Automatic Strategy Selection
% 1.36/1.72
% 1.36/1.72 Clauses:
% 1.36/1.72 [
% 1.36/1.72 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.36/1.72 Y ) ],
% 1.36/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.72 Y ) ],
% 1.36/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.36/1.72 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.36/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.36/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.36/1.72 Y ) ],
% 1.36/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.36/1.72 Y ) ],
% 1.36/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.72 Y ) ],
% 1.36/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.36/1.72 Y ) ],
% 1.36/1.72 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.72 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.36/1.72 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.72 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.72 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.36/1.72 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.72 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.72 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ),
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ),
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.73 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.36/1.73 ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.36/1.73 ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.73 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.36/1.73 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.36/1.73 ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.36/1.73 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.36/1.73 , Z ), U ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.36/1.73 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.36/1.73 ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.36/1.73 , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.36/1.73 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 Y, X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 Y, X ), Z ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 Y, X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.36/1.73 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z )
% 1.36/1.73 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.36/1.73 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T )
% 1.36/1.73 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.36/1.73 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.36/1.73 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.36/1.73 , X ), Y ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.36/1.73 , X ), Y ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.36/1.73 , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.36/1.73 , X ), Y ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBB'(
% 1.36/1.73 Z, X, Y, X ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ) ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.36/1.73 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.36/1.73 ), X, Y ), ~( 'c_Lim_OLIM'( hAPP( 'c_COMBB'( Z, X, Y, X ), hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), T ) ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 hAPP( Z, T ), X, Y ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP(
% 1.36/1.73 'c_COMBB'( Z, Y, X, Y ), hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ) ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.36/1.73 X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.36/1.73 , X ), ~( 'c_Lim_OLIM'( hAPP( 'c_COMBB'( Z, Y, X, Y ), hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( Y ), T ) ), 'c_HOL_Ozero__class_Ozero'( Y ),
% 1.36/1.73 U, Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBB'(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), X, X, Y ), Z ), T, hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), U ), Y, X ), =( U,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Lim_OLIM'( Z, T, U, Y, X ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Oreal__normed__div__algebra'( Y ) ), 'c_Lim_OisCont'(
% 1.36/1.73 hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( Y ), Y, Y, X ), Z ), T
% 1.36/1.73 , X, Y ), =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( Y ) ), ~(
% 1.36/1.73 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.73 Y ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.36/1.73 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.36/1.73 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.73 ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ), =( Z,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.73 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.73 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.36/1.73 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.36/1.73 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.36/1.73 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.36/1.73 'c_Suc', Y ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.36/1.73 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.36/1.73 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ), T ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.36/1.73 , Z ), T ), X ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.36/1.73 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.36/1.73 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.36/1.73 Y, X ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.36/1.73 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y, hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X, X ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.36/1.73 hAPP( 'c_Suc', Z ) ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.36/1.73 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.73 ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.36/1.73 ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.36/1.73 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.73 X ), T ), Y ) ), X ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.36/1.73 'tc_nat' ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.73 , Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) )
% 1.36/1.73 , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.36/1.73 , Y ) ), =( hAPP( 'c_Suc', X ), Y ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ),
% 1.36/1.73 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.36/1.73 'c_Suc', X ) ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.36/1.73 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.36/1.73 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.36/1.73 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat'
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), X ) ) ), =( Y, Z ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.36/1.73 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , X ) ), T ) ) ) ],
% 1.36/1.73 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.36/1.73 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X )
% 1.36/1.73 ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), T ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), T ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.73 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'(
% 1.36/1.73 Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.36/1.73 ), ~( 'c_SEQ_OLIMSEQ'( hAPP( 'c_COMBB'( Y, 'tc_nat', X, 'tc_nat' ),
% 1.36/1.73 'c_Suc' ), Z, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.36/1.73 'c_COMBB'( Y, 'tc_nat', X, 'tc_nat' ), 'c_Suc' ), Z, X ), ~(
% 1.36/1.73 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), X )
% 1.36/1.73 , U ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), T ) ) ) ],
% 1.36/1.73 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBB'(
% 1.36/1.73 T, X, Y, Z ), U ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z
% 1.36/1.73 , X ) ), ~( 'c_Lim_OisCont'( T, V0, X, Y ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OCauchy'( Y, X ),
% 1.36/1.73 ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ),
% 1.36/1.73 'tc_nat' ), U ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), T ), 'tc_nat' ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ) ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), 'tc_nat' ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ),
% 1.36/1.73 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) )
% 1.36/1.73 ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), X ), 'tc_nat' ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ) ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), 'tc_nat' ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.73 'c_Deriv_Odifferentiable'( hAPP( 'c_COMBB'(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), X, X, X ), Y ), Z, X ), =( hAPP( Y
% 1.36/1.73 , Z ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Odifferentiable'( Y
% 1.36/1.73 , Z, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 1.36/1.73 'c_Limits_Otendsto'( hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.36/1.73 ), X, X, Y ), Z ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), T ), U,
% 1.36/1.73 Y, X ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Limits_Otendsto'(
% 1.36/1.73 Z, T, U, Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.36/1.73 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.36/1.73 X ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ),
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.36/1.73 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ),
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Z,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBB'(
% 1.36/1.73 T, X, Y, Z ), U ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z
% 1.36/1.73 , X ) ), ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OisCont'( hAPP(
% 1.36/1.73 'c_COMBB'( T, Z, Y, X ), U ), W, X, Y ), ~( 'c_Lim_OisCont'( T, hAPP( U,
% 1.36/1.73 W ), Z, Y ) ), ~( 'c_Lim_OisCont'( U, W, X, Z ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.73 'c_Deriv_Odifferentiable'( hAPP( 'c_COMBB'( Y, X, X, X ), Z ), T, X ),
% 1.36/1.73 ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'(
% 1.36/1.73 Y, hAPP( Z, T ), X ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.36/1.73 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.36/1.73 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.73 X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.73 ), X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.36/1.73 , X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.36/1.73 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.36/1.73 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.36/1.73 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.36/1.73 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.36/1.73 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.36/1.73 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , Z ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.73 ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.36/1.73 ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.73 ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.73 ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.73 ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.73 , Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.36/1.73 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.36/1.73 ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.36/1.73 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.36/1.73 ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, Y, X ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 1.36/1.73 'c_SEQ_OLIMSEQ'( hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X ),
% 1.36/1.73 X, X, 'tc_nat' ), Y ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ),
% 1.36/1.73 X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.36/1.73 ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X )
% 1.36/1.73 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), X ), W ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), T ) ), U ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.36/1.73 Z, 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.73 , 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.73 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.73 ), Z ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.73 X ), Y ), Z ) ), Z ), Y ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.36/1.73 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), Z ), Y ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.36/1.73 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X
% 1.36/1.73 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), T ) ) ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.36/1.73 'c_Series_Osuminf'( hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), X, X, 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ) ),
% 1.36/1.73 ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ),
% 1.36/1.73 'c_Series_Osuminf'( hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), X, X, 'tc_nat' ), Z ), X ) ), ~( 'c_Series_Osummable'( Z, X ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 X ), T ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 X ), Z ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.36/1.73 Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.73 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.73 , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.73 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.36/1.73 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.36/1.73 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.36/1.73 ) ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.73 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'( X, X ), X ), Y ), Z, X, X,
% 1.36/1.73 X ), T, X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.36/1.73 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.36/1.73 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'( X, X ), Y ), Z )
% 1.36/1.73 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), V0 )
% 1.36/1.73 , Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W,
% 1.36/1.73 Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.73 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'(
% 1.36/1.73 X, X ), X ), Y ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.36/1.73 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 1.36/1.73 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( Y ), Y, 'tc_fun'(
% 1.36/1.73 Y, Y ), X ), Z ), T, X, Y, Y ), U, X, Y ), ~( 'c_Lim_OisCont'( T, U, X, Y
% 1.36/1.73 ) ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.36/1.73 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'( X, X ), Y ), Z ), T, Y, X,
% 1.36/1.73 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), U ), W ), V0, Y, X ),
% 1.36/1.73 ~( 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z, U
% 1.36/1.73 , V0, Y, X ) ) ],
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.36/1.73 ) ) ],
% 1.36/1.73 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.36/1.73 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), Y ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.36/1.73 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.36/1.73 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.36/1.73 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.36/1.73 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 1.36/1.73 ~( 'c_Lim_OLIM'( hAPP( 'c_COMBB'( Z, X, Y, X ), hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), T ) ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 hAPP( Z, T ), X, Y ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBB'(
% 1.36/1.73 Z, X, Y, X ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ) ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OisCont'(
% 1.36/1.73 Z, T, X, Y ) ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.36/1.73 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.36/1.73 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.36/1.73 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.36/1.73 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.36/1.73 , Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X
% 1.36/1.73 ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.36/1.73 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( Y, Z ), ~(
% 1.36/1.73 'c_Deriv_Oderiv'( T, U, Z, X ) ), ~( 'c_Deriv_Oderiv'( T, U, Y, X ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.36/1.73 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.36/1.73 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.36/1.73 , Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) )
% 1.36/1.73 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.36/1.73 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( hAPP(
% 1.36/1.73 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'( X, X ), 'tc_nat'
% 1.36/1.73 ), Y ), Z, 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) ),
% 1.36/1.73 ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.73 'c_Deriv_Odifferentiable'( Y, Z, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.73 'c_Deriv_Odifferentiable'( Y, Z, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.36/1.73 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.36/1.73 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OisCont'( Y
% 1.36/1.73 , Z, X, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.36/1.73 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.73 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 1.36/1.73 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.73 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ), hAPP(
% 1.36/1.73 Y, T ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) )
% 1.36/1.73 ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) )
% 1.36/1.73 ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.36/1.73 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.36/1.73 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.36/1.73 'c_Nat_Osemiring__1__class_Oof__nat'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.73 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ), hAPP(
% 1.36/1.73 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.73 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.73 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.36/1.73 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat'
% 1.36/1.73 ), T ) ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.36/1.73 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , 'tc_nat' ), 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.36/1.73 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.36/1.73 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.73 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.36/1.73 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), hAPP( 'c_Suc', X )
% 1.36/1.73 ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.36/1.73 ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.36/1.73 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.36/1.73 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.36/1.73 'c_Suc', Y ) ) ) ],
% 1.36/1.73 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.36/1.73 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.36/1.73 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.36/1.73 ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 X ) ) ],
% 1.36/1.73 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.73 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.36/1.73 ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.36/1.73 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.36/1.73 ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.36/1.73 'c_Suc', X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) ) ],
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.36/1.73 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.36/1.73 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.73 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) )
% 1.36/1.73 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.36/1.73 X ), X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.73 ), T ), Y ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.36/1.73 Z ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.73 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.73 ), T ), Y ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.36/1.73 Z ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.36/1.73 ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.36/1.73 ), =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ) ) ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Z ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.36/1.73 ) ), 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.36/1.73 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.36/1.73 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), X ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), Y ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z )
% 1.36/1.73 , X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.36/1.73 Z ), Y ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.73 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.36/1.73 'c_Nat_Osemiring__1__class_Oof__nat'( X ), hAPP( 'c_Suc', Y ) ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.73 hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ),
% 1.36/1.73 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.36/1.73 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.36/1.73 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'(
% 1.36/1.73 X, X ), 'tc_nat' ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z, U
% 1.36/1.73 , X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.36/1.73 'c_Series_Osummable'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ), Z
% 1.36/1.73 , 'tc_nat', X, X ), X ), ~( 'c_Series_Osummable'( Z, X ) ), ~(
% 1.36/1.73 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.36/1.73 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'(
% 1.36/1.73 X, X ), 'tc_nat' ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, U
% 1.36/1.73 , X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.36/1.73 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'(
% 1.36/1.73 X, X ), 'tc_nat' ), Y ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( Z, X
% 1.36/1.73 ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.36/1.73 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), X ) )
% 1.36/1.73 ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.36/1.73 T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ =( X, hAPP( 'c_Suc', Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' )
% 1.36/1.73 , Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y
% 1.36/1.73 ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.36/1.73 , 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.36/1.73 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.36/1.73 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.36/1.73 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.36/1.73 Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.36/1.73 X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z )
% 1.36/1.73 , Y ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.36/1.73 Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.36/1.73 Z ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.36/1.73 X ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( 'c_Suc', Y ), 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.36/1.73 'c_Suc', X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.36/1.73 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ) ),
% 1.36/1.73 Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.36/1.73 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.36/1.73 ) ), Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.36/1.73 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) )
% 1.36/1.73 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T
% 1.36/1.73 ) ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.36/1.73 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ) )
% 1.36/1.73 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.36/1.73 ) ), Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.36/1.73 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) )
% 1.36/1.73 ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ),
% 1.36/1.73 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) )
% 1.36/1.73 ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ),
% 1.36/1.73 'tc_nat' ), U ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), T ), 'tc_nat' ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ) ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ) ), U ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.36/1.73 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) )
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( 'c_Suc', Y ) )
% 1.36/1.73 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ), =( Z, hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ), U ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.36/1.73 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), Z )
% 1.36/1.73 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X
% 1.36/1.73 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.36/1.73 Y ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, Y ), Z ),
% 1.36/1.73 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ) ), hAPP( hAPP(
% 1.36/1.73 'c_Finite__Set_Osetsum'( X, Y ), W ),
% 1.36/1.73 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.36/1.73 , X ), U ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.36/1.73 X ), Y ) ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.36/1.73 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.73 'tc_nat' ), X ), Y ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.36/1.73 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.36/1.73 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.36/1.73 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.36/1.73 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.36/1.73 ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.36/1.73 'c_COMBB'( Y, 'tc_nat', X, 'tc_nat' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat',
% 1.36/1.73 'tc_nat', 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ) ), Z ) ),
% 1.36/1.73 T, X ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ), ~(
% 1.36/1.73 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.36/1.73 [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'( hAPP(
% 1.36/1.73 'c_Suc', 'v_n' ), 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.36/1.73 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), X ), Y ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.36/1.73 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, 'tc_nat' ), Y ), Z ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z
% 1.36/1.73 , X ) ), =( hAPP( Y, T ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.36/1.73 'c_in'( T, Z, X ) ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), T ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.36/1.73 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.36/1.73 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ) ) ) ],
% 1.36/1.73 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.36/1.73 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X )
% 1.36/1.73 , Z ) ) ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.36/1.73 , Z ) ],
% 1.36/1.73 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.36/1.73 , Z ) ],
% 1.36/1.73 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.36/1.73 hAPP( 'c_Suc', Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.36/1.73 'tc_nat' ), Y ) ) ],
% 1.36/1.73 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ),
% 1.36/1.73 hAPP( 'c_Suc', X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.36/1.73 'tc_nat' ), X ) ) ],
% 1.36/1.73 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.36/1.73 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP(
% 1.36/1.73 'c_Suc', Y ) ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.36/1.73 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.36/1.73 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.73 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 X ), X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.36/1.73 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.36/1.73 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.36/1.73 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X
% 1.36/1.73 ), Y ), X ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X
% 1.36/1.73 ), Y ), X ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.36/1.73 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.36/1.73 'c_Series_Osuminf'( Z, X ) ), ~( 'c_Series_Osums'( Z, Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.36/1.73 'c_Series_Osuminf'( Y, X ), Z ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.36/1.73 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.73 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.73 , 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'(
% 1.36/1.73 Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.36/1.73 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Y ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.36/1.73 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.36/1.73 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.36/1.73 Y, 'c_Series_Osuminf'( Y, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.73 'c_Series_Osummable'( Y, X ) ), 'c_Series_Osums'( Y, 'c_Series_Osuminf'(
% 1.36/1.73 Y, X ), X ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.36/1.73 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.36/1.73 ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.36/1.73 ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.36/1.73 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 1.36/1.73 ~( 'c_Lim_OLIM'( Z, T, hAPP( Z, T ), X, Y ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.36/1.73 ), X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.36/1.73 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.36/1.73 hAPP( 'c_Suc', Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.36/1.73 X ) ) ) ],
% 1.36/1.73 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.73 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.73 X ), Y ), Z ) ), X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.73 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.36/1.73 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.36/1.73 Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'(
% 1.36/1.73 hAPP( 'c_COMBB'( Y, 'tc_nat', X, 'tc_nat' ), 'c_Suc' ), Z, X ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 ) ), 'c_Series_Osums'( Y, Z, X ), ~( 'c_Series_Osums'( hAPP( 'c_COMBB'(
% 1.36/1.73 Y, 'tc_nat', X, 'tc_nat' ), 'c_Suc' ), Z, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.36/1.73 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 1.36/1.73 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ),
% 1.36/1.73 'tc_nat' ), Y ) ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.36/1.73 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 1.36/1.73 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ),
% 1.36/1.73 'tc_nat' ), Y ) ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.36/1.73 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( hAPP(
% 1.36/1.73 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ),
% 1.36/1.73 'tc_nat' ), Y ), Z, 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z,
% 1.36/1.73 X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.36/1.73 , Z, X ), ~( 'c_SEQ_OZseq'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 1.36/1.73 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ),
% 1.36/1.73 'tc_nat' ), Y ) ), Z ), X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.36/1.73 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ) )
% 1.36/1.73 , Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.36/1.73 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 1.36/1.73 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ),
% 1.36/1.73 'tc_nat' ), Y ) ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.36/1.73 X ), 'c_Series_Osuminf'( Y, X ) ), Z ) ), ~( 'c_Series_Osummable'( Y, X )
% 1.36/1.73 ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.36/1.73 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 1.36/1.73 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ),
% 1.36/1.73 'tc_nat' ), Y ) ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.73 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 1.36/1.73 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.73 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.36/1.73 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.36/1.73 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.73 'tc_nat' ), X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.36/1.73 'c_Series_Osummable'( hAPP( 'c_COMBB'( Y, 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), Z ) ), X ), ~(
% 1.36/1.73 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.36/1.73 'c_COMBB'( Y, 'tc_nat', X, 'tc_nat' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat',
% 1.36/1.73 'tc_nat', 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), Z ) ), T
% 1.36/1.73 , X ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.36/1.73 ), ~( 'c_SEQ_OLIMSEQ'( hAPP( 'c_COMBB'( Y, 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.36/1.73 hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), T ) ), Z, X ) ) ],
% 1.36/1.73 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_Complex_Ocomplex' ) ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.36/1.73 'c_Series_Osuminf'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.36/1.73 hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.73 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Series_Osuminf'( hAPP( 'c_COMBB'( Y,
% 1.36/1.73 'tc_nat', X, 'tc_nat' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat',
% 1.36/1.73 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), Z ) ), X ) ) ), ~(
% 1.36/1.73 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.36/1.73 ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.36/1.73 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 'c_HOL_Oone__class_Oone'(
% 1.36/1.73 X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y
% 1.36/1.73 ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ), ~(
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.36/1.73 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.36/1.73 , 'tc_nat' ), 'tc_nat' ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.36/1.73 , 'tc_nat' ), 'tc_nat' ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , 'tc_nat' ), 'tc_nat' ), hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 X ), T ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.36/1.73 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.73 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.36/1.73 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.36/1.73 Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 X ), Z ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.36/1.73 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'( X, X ), Y ), Z )
% 1.36/1.73 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.36/1.73 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.36/1.73 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.73 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP(
% 1.36/1.73 'c_COMBB'( Z, Y, X, Y ), hAPP( hAPP( 'c_COMBC'( Y, Y, Y ),
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( Y ) ), T ) ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~( 'c_Lim_OLIM'(
% 1.36/1.73 Z, U, W, Y, X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , X ) ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , X ) ), T ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , X ) ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 , X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , X ) ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , X ) ), T ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , X ) ), T ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , X ) ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.36/1.73 , X ) ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.36/1.73 , X ) ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.36/1.73 ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.73 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.36/1.73 , X ) ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.73 , X ) ), T ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), X ), T ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.36/1.73 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.36/1.73 , X ) ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), X ), T ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.73 ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.73 ), T ), Z ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.36/1.73 , X ) ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y
% 1.36/1.73 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.73 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.73 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~(
% 1.36/1.73 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.36/1.73 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.73 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.73 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.73 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.73 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.73 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), X,
% 1.36/1.73 'tc_fun'( X, X ), X ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , W ), hAPP( Y, T ) ) ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.36/1.73 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.36/1.73 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.73 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), X,
% 1.36/1.73 'tc_fun'( X, X ), X ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), hAPP( Y, T ) ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.73 , W ), hAPP( Z, T ) ) ), X ), ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ), ~(
% 1.36/1.73 'c_Deriv_Oderiv'( Y, T, W, X ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.73 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.73 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.73 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.73 ), Y ), hAPP( 'c_Suc', Z ) ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.36/1.73 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.73 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.73 ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.73 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.73 ) ), Y ) ) ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ]
% 1.36/1.73 ,
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.36/1.73 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.73 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.73 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.73 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T )
% 1.36/1.73 , 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.73 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( 'c_COMBB'( Y, 'tc_nat', X,
% 1.36/1.73 'tc_nat' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.36/1.73 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), T ) ) ),
% 1.36/1.73 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.36/1.73 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ) ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.36/1.73 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.36/1.73 hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.36/1.73 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.73 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.36/1.73 ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.73 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.73 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.73 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.36/1.73 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.73 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.73 X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U )
% 1.36/1.73 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.73 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.73 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.36/1.73 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.74 , Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.36/1.74 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.74 , Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.74 , Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.74 , Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T
% 1.36/1.74 ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.36/1.74 ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.36/1.74 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.74 ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.74 ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBB'(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), X, X, Y ), T ), U,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBB'(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), X, X, Y ), T ), U,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.36/1.74 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X )
% 1.36/1.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X
% 1.36/1.74 ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.36/1.74 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.36/1.74 X ), Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ),
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Z ), U ) ), W ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.36/1.74 ), X ), W ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.36/1.74 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), X ),
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), 'c_HOL_Oone__class_Oone'( X
% 1.36/1.74 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.36/1.74 X ), Y ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.36/1.74 X ), Y ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.36/1.74 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.74 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.36/1.74 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.36/1.74 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.36/1.74 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Z,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.74 ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y
% 1.36/1.74 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.36/1.74 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.36/1.74 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.36/1.74 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.36/1.74 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.36/1.74 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.36/1.74 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.36/1.74 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.36/1.74 X ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), =( Z,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Z ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.36/1.74 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.74 hAPP( 'c_COMBB'( Y, X, X, X ), Z ), T, hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z
% 1.36/1.74 , T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.74 hAPP( 'c_COMBB'( Y, X, X, X ), Z ), T, hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Y
% 1.36/1.74 , hAPP( Z, T ), U, X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.36/1.74 'c_Limits_Otendsto'( hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), X, X, Z ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 Y ), U ), W, Z, X ), ~( 'c_Limits_Otendsto'( T, U, W, Z, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBB'(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), X, X, Y ), T ), U, hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~(
% 1.36/1.74 'c_Lim_OLIM'( T, U, W, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.74 hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X, X )
% 1.36/1.74 , Z ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), X ),
% 1.36/1.74 ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.36/1.74 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.36/1.74 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.36/1.74 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), X ), hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.74 X ), Y ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.74 , Z ) ), X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.36/1.74 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.36/1.74 ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.74 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.36/1.74 , X ) ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), T ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), T ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), T ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ), Z ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.36/1.74 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.36/1.74 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.36/1.74 ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.36/1.74 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.36/1.74 , X ) ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.36/1.74 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.36/1.74 , X ) ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.74 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 , X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T )
% 1.36/1.74 , 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.36/1.74 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.36/1.74 , X ) ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), T ), Z ) ), U ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.36/1.74 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.36/1.74 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.36/1.74 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ),
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.36/1.74 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.36/1.74 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ),
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ),
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ),
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Z ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.74 hAPP( 'c_Suc', T ) ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.74 ), Z ), hAPP( 'c_Suc', T ) ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.36/1.74 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.74 , Y ) ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.36/1.74 , =( Y, T ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.36/1.74 Z, 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.74 ), Y ), T ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.36/1.74 T ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~(
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~(
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.36/1.74 'class_OrderedGroup_Omonoid__mult'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~(
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.36/1.74 , U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U
% 1.36/1.74 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.36/1.74 ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.36/1.74 , U ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( U, X ), Z ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ), X ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.74 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), T ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.36/1.74 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), Y ), Z ) ), T ),
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), T ), W, Y, X ), ~(
% 1.36/1.74 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.36/1.74 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , X, 'tc_fun'( X, X ), Y ), Z ) ), T ), U, hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z,
% 1.36/1.74 U, W, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.36/1.74 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.36/1.74 , T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.36/1.74 , T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.36/1.74 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.36/1.74 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), T ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 , X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , T ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , T ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.36/1.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.36/1.74 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), T ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), T ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , T ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.74 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.36/1.74 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , T ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.74 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.36/1.74 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , X ) ), Z ) ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), T ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.36/1.74 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), X, X, Y ), Z ) ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.36/1.74 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), Y ), Z
% 1.36/1.74 ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ),
% 1.36/1.74 V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U
% 1.36/1.74 , W, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.36/1.74 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), Y ), Z ), T, Y, X
% 1.36/1.74 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), V0, Y, X
% 1.36/1.74 ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z
% 1.36/1.74 , U, V0, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.74 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), X ), Y ), Z, X, X
% 1.36/1.74 , X ), T, X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.36/1.74 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Oreal__normed__algebra'( Y ) ), 'c_Lim_OisCont'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( Y ), Y,
% 1.36/1.74 'tc_fun'( Y, Y ), X ), Z ), T, X, Y, Y ), U, X, Y ), ~( 'c_Lim_OisCont'(
% 1.36/1.74 T, U, X, Y ) ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.36/1.74 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.36/1.74 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.36/1.74 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.36/1.74 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ), Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.36/1.74 ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.36/1.74 ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.36/1.74 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.36/1.74 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.36/1.74 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.74 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), X ), Y ), Z, X, X
% 1.36/1.74 , X ), T, X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.36/1.74 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( Y ), Y,
% 1.36/1.74 'tc_fun'( Y, Y ), X ), Z ), T, X, Y, Y ), U, X, Y ), ~( 'c_Lim_OisCont'(
% 1.36/1.74 T, U, X, Y ) ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), X ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z
% 1.36/1.74 , T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.36/1.74 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), Y ), Z
% 1.36/1.74 ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), W ),
% 1.36/1.74 V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U
% 1.36/1.74 , W, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.36/1.74 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), Y ), Z ), T, Y, X
% 1.36/1.74 , X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), V0, Y, X
% 1.36/1.74 ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z
% 1.36/1.74 , U, V0, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.74 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.36/1.74 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), Z ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), U ) ) ), Z ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), Y ), Z ) ), T
% 1.36/1.74 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), U ), T ), W, Y, X )
% 1.36/1.74 , ~( 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.36/1.74 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), X, 'tc_fun'( X, X ), Y ), Z ) ), T ), U, hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'(
% 1.36/1.74 Z, U, W, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( X, X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), X ), Y ) ), Z
% 1.36/1.74 ), T, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), U ), Z ), X ),
% 1.36/1.74 ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'( X, X ), Y ), Z ), T, Y, X,
% 1.36/1.74 X ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), 'tc_nat' ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.36/1.74 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), 'tc_nat' ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 1.36/1.74 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ) )
% 1.36/1.74 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.36/1.74 'c_Series_Osums'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ) )
% 1.36/1.74 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.36/1.74 'c_Series_Osums'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.36/1.74 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 1.36/1.74 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ),
% 1.36/1.74 'tc_nat' ), Y ) ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.36/1.74 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 1.36/1.74 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ),
% 1.36/1.74 'tc_nat' ), Y ) ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ) )
% 1.36/1.74 , Z ), X ), ~( 'c_SEQ_OCauchy'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ) )
% 1.36/1.74 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.36/1.74 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ) )
% 1.36/1.74 , Z ), X ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.36/1.74 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.36/1.74 Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Z ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.36/1.74 , X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'( X
% 1.36/1.74 ) ) ), =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), Z ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.74 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.36/1.74 Y ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.36/1.74 ) ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.74 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.36/1.74 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.36/1.74 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.36/1.74 ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Z ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y
% 1.36/1.74 ), Z, X, X ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y
% 1.36/1.74 ), Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.36/1.74 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ),
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'(
% 1.36/1.74 hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X,
% 1.36/1.74 'tc_nat' ), Z ), X ), ~( 'c_SEQ_OCauchy'( Z, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.36/1.74 hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X,
% 1.36/1.74 'tc_nat' ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.74 , X ), ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.36/1.74 hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X,
% 1.36/1.74 'tc_nat' ), Z ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.36/1.74 hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X,
% 1.36/1.74 'tc_nat' ), Z ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.36/1.74 'c_Series_Osummable'( hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), X, X, 'tc_nat' ), Z ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.36/1.74 'c_Series_Osummable'( hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), X, X, 'tc_nat' ), Z ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.36/1.74 hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X,
% 1.36/1.74 'tc_nat' ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.74 , X ), ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.36/1.74 hAPP( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X,
% 1.36/1.74 'tc_nat' ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.36/1.74 , X ), ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Z ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.36/1.74 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.36/1.74 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.36/1.74 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.36/1.74 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.36/1.74 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.36/1.74 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.36/1.74 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.74 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ), 'c_Finite__Set_Ofinite'( T, Y ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ), 'c_Finite__Set_Ofinite'( T, Y ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X
% 1.36/1.74 ), hAPP( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), X, X, Y ), Z ) ), T )
% 1.36/1.74 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), X, X, Y ), Z ) ), T ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ),
% 1.36/1.74 =( Z, T ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X
% 1.36/1.74 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'( hAPP(
% 1.36/1.74 hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ),
% 1.36/1.74 Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OisCont'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Oinverse__class_Odivide'( X ) )
% 1.36/1.74 , Y ), Z, X, X ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.36/1.74 'c_Nat_Osemiring__1__class_Oof__nat'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.36/1.74 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ), hAPP(
% 1.36/1.74 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.74 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.36/1.74 'tc_nat' ), X ) ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.74 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X
% 1.36/1.74 ) ) ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.74 'tc_nat' ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( X, 'tc_nat', X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), X, 'tc_fun'( 'tc_nat', X ), X ), Y )
% 1.36/1.74 ), hAPP( 'c_Suc', Z ) ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.36/1.74 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'(
% 1.36/1.74 X ) ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), hAPP( Y, T ) ), Z ) ) ), X ), ~(
% 1.36/1.74 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.36/1.74 Z ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ),
% 1.36/1.74 Y ) ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.36/1.74 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z )
% 1.36/1.74 , Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.36/1.74 , X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.74 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.36/1.74 X ) ) ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.74 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y
% 1.36/1.74 ) ) ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.36/1.74 , Z ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.74 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), X ), Y ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), X ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.74 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( Y, hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), X ) ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.36/1.74 , 'tc_nat' ), X ) ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.74 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.36/1.74 , 'tc_nat' ), X ) ) ) ],
% 1.36/1.74 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.36/1.74 Y ) ), ~( =( hAPP( Z,
% 1.36/1.74 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.36/1.74 ), hAPP( W, 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U,
% 1.36/1.74 Z, W, X, Y ) ) ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, Y ), Z ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ) ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( X, Y ), W ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.74 'c_Series_Osummable'( Y, X ) ), =( 'c_Series_Osuminf'( hAPP( 'c_COMBB'( Y
% 1.36/1.74 , 'tc_nat', X, 'tc_nat' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat',
% 1.36/1.74 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), Z ) ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.36/1.74 hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), Z, 'tc_nat' ) ) ) ) ],
% 1.36/1.74 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_i', 'tc_nat' ), 'v_n' ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'( Y
% 1.36/1.74 , Z, T, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_COMBC'( X, X, X ), hAPP( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.74 X ), X, 'tc_fun'( X, X ), X ), Y ) ), hAPP( Y, Z ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_COMBC'( X, X, X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), X, X, X )
% 1.36/1.74 , Z, T, X, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), X ), hAPP( hAPP( 'c_COMBC'( X, X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), X ), Y ) ), hAPP(
% 1.36/1.74 Y, Z ) ) ), hAPP( hAPP( 'c_COMBC'( X, X, X ),
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), X, X, X ), Z, T, X, X ), ~(
% 1.36/1.74 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ) )
% 1.36/1.74 , Z ), X ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), 'tc_nat' ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.36/1.74 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.36/1.74 'c_Series_Osummable'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ),
% 1.36/1.74 Z, 'tc_nat', X, X ), X ), ~( 'c_Series_Osummable'( Z, X ) ), ~(
% 1.36/1.74 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), 'tc_nat' ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 1.36/1.74 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), 'tc_nat' ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z
% 1.36/1.74 , U, X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ) )
% 1.36/1.74 , Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~(
% 1.36/1.74 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.36/1.74 Y ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, Y ), Z ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ) ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( X, Y ), W ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( T, X ),
% 1.36/1.74 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.74 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 1.36/1.74 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ),
% 1.36/1.74 'tc_nat' ), Y ) ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.74 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 1.36/1.74 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ),
% 1.36/1.74 'tc_nat' ), Y ) ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.36/1.74 ) ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X
% 1.36/1.74 ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OZseq'( hAPP(
% 1.36/1.74 hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.36/1.74 ) ), Z ), X ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OCauchy'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.36/1.74 ) ), Z ), X ), ~( 'c_SEQ_OCauchy'( Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.36/1.74 ) ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X
% 1.36/1.74 ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.36/1.74 ) ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X
% 1.36/1.74 ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.36/1.74 'c_Nat_Osemiring__1__class_Oof__nat'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_Nat_Osemiring__1__class_Oof__nat'( X ), 'tc_nat', X, Y ), Z ) ), T ) )
% 1.36/1.74 ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.74 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBC'( X, 'tc_nat', X ), hAPP(
% 1.36/1.74 'c_COMBB'( 'c_Power_Opower__class_Opower'( X ), X, 'tc_fun'( 'tc_nat', X
% 1.36/1.74 ), X ), Y ) ), Z ), T, X ), ~( 'c_Deriv_Odifferentiable'( Y, T, X ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.36/1.74 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.36/1.74 , 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBC'( Y, 'tc_nat', X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), X, 'tc_fun'( 'tc_nat', X ), Y ), Z )
% 1.36/1.74 ), T ), U, hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), W ), T ), Y
% 1.36/1.74 , X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Oreal__normed__algebra'( Y ) ), ~( 'class_Power_Opower'(
% 1.36/1.74 Y ) ), 'c_Lim_OisCont'( hAPP( hAPP( 'c_COMBC'( X, 'tc_nat', Y ), hAPP(
% 1.36/1.74 'c_COMBB'( 'c_Power_Opower__class_Opower'( Y ), Y, 'tc_fun'( 'tc_nat', Y
% 1.36/1.74 ), X ), Z ) ), T ), U, X, Y ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.36/1.74 hAPP( 'c_COMBB'( Y, 'tc_nat', X, 'tc_nat' ), hAPP( hAPP( 'c_COMBC'(
% 1.36/1.74 'tc_nat', 'tc_nat', 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) )
% 1.36/1.74 , Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), Z, 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'( Y, T, X ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.36/1.74 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBC'(
% 1.36/1.74 'tc_nat', 'tc_nat', X ), hAPP( 'c_COMBB'( 'c_Power_Opower__class_Opower'(
% 1.36/1.74 X ), X, 'tc_fun'( 'tc_nat', X ), 'tc_nat' ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y
% 1.36/1.74 , T, X ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.36/1.74 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T,
% 1.36/1.74 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, 'tc_nat' ) ) ), hAPP(
% 1.36/1.74 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, X, X ),
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X,
% 1.36/1.74 'tc_fun'( X, X ) ), Y ), 'c_fequal'( Z, Y ) ), T, Y, X, 'tc_fun'( X, X )
% 1.36/1.74 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), U ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_in'( Z, U, Y ), ~(
% 1.36/1.74 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, X, X ),
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X,
% 1.36/1.74 'tc_fun'( X, X ) ), Y ), 'c_fequal'( Z, Y ) ), T, Y, X, 'tc_fun'( X, X )
% 1.36/1.74 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), U ), hAPP( T, Z ) ), ~( 'c_in'(
% 1.36/1.74 Z, U, Y ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.36/1.74 'tc_Complex_Ocomplex' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.36/1.74 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.36/1.74 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), Y ) ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), X, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_Complex_Ocomplex' ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.36/1.74 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), hAPP(
% 1.36/1.74 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat'
% 1.36/1.74 , X ), hAPP( 'c_COMBB'( Y, 'tc_nat', X, 'tc_nat' ), 'c_Suc' ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.74 hAPP( hAPP( 'c_COMBC'( X, 'tc_nat', X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), X, 'tc_fun'( 'tc_nat', X ), X ), Y )
% 1.36/1.74 ), Z ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.36/1.74 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), hAPP( Y, T ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( 'c_Suc',
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ), X ), ~(
% 1.36/1.74 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.36/1.74 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , X, 'tc_fun'( X, X ), Y ), Z ) ), T ), U, 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.36/1.74 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , X, 'tc_fun'( X, X ), Y ), Z ) ), T ), U, 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.36/1.74 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.36/1.74 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T )
% 1.36/1.74 , 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.36/1.74 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.74 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.36/1.74 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), T ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z
% 1.36/1.74 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), Y ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.36/1.74 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.74 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), Y ), T ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.74 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.36/1.74 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.74 X ), T ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.36/1.74 X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.36/1.74 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.36/1.74 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.74 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.36/1.74 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.36/1.74 ), Y ), T ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), Y ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.74 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.36/1.74 ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.36/1.74 ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.74 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.36/1.74 X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.74 , T ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.36/1.74 ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z
% 1.36/1.74 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.36/1.74 ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oabs__class_Oabs'( X ), X, X, Y ), Z ) ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.36/1.74 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X )
% 1.36/1.74 , X, 'tc_fun'( X, X ), Y ), Z ) ), T ), U, 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, T, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.36/1.74 ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), Y ), Z ) ), U ),
% 1.36/1.74 T, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.36/1.74 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), Y ), Z
% 1.36/1.74 ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.36/1.74 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.36/1.74 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.36/1.74 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ),
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.36/1.74 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.74 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.36/1.74 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ),
% 1.36/1.74 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.36/1.74 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.36/1.74 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X
% 1.36/1.74 ), X, 'tc_fun'( X, X ), Y ), Z ) ), T ), U, 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.36/1.74 ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.36/1.74 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.36/1.74 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.36/1.74 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.36/1.74 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), X ), Y ), Z, X
% 1.36/1.74 , X, X ), T, X ), =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.36/1.74 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'( Y,
% 1.36/1.74 T, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), Y ), Z ), T, Y, X, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), U ), W ), V0, Y, X ), =( W,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X
% 1.36/1.74 ) ), ~( 'c_Limits_Otendsto'( Z, U, V0, Y, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), X ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), hAPP( Z, T ) ), hAPP( 'c_Suc', hAPP(
% 1.36/1.74 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ), X ), =( hAPP( Z
% 1.36/1.74 , T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X
% 1.36/1.74 ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.36/1.74 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.36/1.74 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), T ),
% 1.36/1.74 Y, 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.36/1.74 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.36/1.74 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ),
% 1.36/1.74 T, 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.36/1.74 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), 'tc_nat' ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), =( U,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~(
% 1.36/1.74 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), T ) ),
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), Y ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T
% 1.36/1.74 ), 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ), U ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) ),
% 1.36/1.74 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_Transcendental_Osko__Transcendental__Xreal__setsum__nat__ivl__bounded2__1__1'(
% 1.36/1.74 U, Y, Z, X ), 'tc_nat' ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ) ), hAPP(
% 1.36/1.74 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( 'c_COMBB'( Y,
% 1.36/1.74 'tc_nat', X, 'tc_nat' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat',
% 1.36/1.74 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), T ) ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.36/1.74 'tc_Complex_Ocomplex' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.36/1.74 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.36/1.74 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.36/1.74 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.36/1.74 ) ), 'c_FFT__Mirabelle_Oroot'( X ) ) ), Y ) ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), X, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_Complex_Ocomplex' ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.36/1.74 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.36/1.74 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), X,
% 1.36/1.74 'tc_fun'( X, X ), X ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), W ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Z, T ) ), hAPP( Z, T ) ) ), X )
% 1.36/1.74 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'(
% 1.36/1.74 Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.36/1.74 'c_Series_Osuminf'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), Y ),
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.74 ) ), 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( 'c_COMBB'( Y, 'tc_nat', X,
% 1.36/1.74 'tc_nat' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), Z ) ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.36/1.74 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z )
% 1.36/1.74 , 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y )
% 1.36/1.74 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ) ) ],
% 1.36/1.74 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.36/1.74 hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ),
% 1.36/1.74 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.36/1.74 'tc_Complex_Ocomplex' ), 'tc_nat' ), hAPP( 'c_COMBB'( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.36/1.74 'c_FFT__Mirabelle_Oroot'( X ) ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.36/1.74 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ) ) ),
% 1.36/1.74 Y, 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 1.36/1.74 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.36/1.74 hAPP( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' )
% 1.36/1.74 , 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.36/1.74 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y ), hAPP( 'c_COMBB'( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.36/1.74 'c_FFT__Mirabelle_Oroot'( X ) ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.36/1.74 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ) ),
% 1.36/1.74 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T
% 1.36/1.74 ), 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.36/1.74 hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ), U ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( hAPP( Y,
% 1.36/1.74 'c_Transcendental_Osko__Transcendental__Xreal__setsum__nat__ivl__bounded2__1__1'(
% 1.36/1.74 U, Y, Z, X ) ), X ), U ) ) ) ],
% 1.36/1.74 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.36/1.74 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( 'c_COMBB'( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Z ), 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ), 'tc_nat', X, X ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.36/1.74 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 'tc_nat', X,
% 1.36/1.74 'tc_nat' ), hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ), hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Z ), 'tc_nat', X, X ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.36/1.74 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( 'c_COMBB'( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Z ), 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ) ),
% 1.36/1.74 'tc_nat', X, X ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) )
% 1.36/1.74 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( 'c_COMBB'( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Z ), 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ), 'tc_nat', X, X ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.36/1.74 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.36/1.74 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( 'c_COMBB'( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), T ), 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ) ), 'tc_nat', X, X ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.36/1.74 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBC'( 'tc_nat',
% 1.36/1.74 X, X ), hAPP( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'(
% 1.36/1.74 X, X ), 'tc_nat' ), 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.36/1.74 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'tc_nat', X, 'tc_nat' ),
% 1.36/1.74 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ), hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), 'tc_nat', X, X ) ) ), hAPP(
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.36/1.74 'tc_nat', X ), 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ) ), 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.36/1.74 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'tc_nat', X, 'tc_nat' ),
% 1.36/1.74 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ), hAPP( 'c_COMBB'(
% 1.36/1.74 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 'tc_nat', X, 'tc_nat' ),
% 1.36/1.74 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ), 'tc_nat', X, X ),
% 1.36/1.74 'tc_nat', X, X ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T
% 1.36/1.74 ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.36/1.74 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), X, 'tc_fun'( X, X ), Y ), Z ) ), U ) ), T ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.36/1.74 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.36/1.74 hAPP( 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.74 X ), X, 'tc_fun'( X, X ), Y ), Z ) ), U ) ), T ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.36/1.74 ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.36/1.74 ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.36/1.74 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.36/1.74 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.36/1.74 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z )
% 1.36/1.74 , Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.36/1.74 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z )
% 1.36/1.74 , Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.36/1.74 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.74 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ),
% 1.36/1.74 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.74 ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.36/1.74 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.36/1.74 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.74 ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.36/1.74 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.36/1.74 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~(
% 1.36/1.74 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.36/1.74 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.36/1.74 , Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.74 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.36/1.74 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.36/1.74 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), Z ) ) )
% 1.36/1.74 , hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ), =( Y,
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.74 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.36/1.74 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.36/1.74 ), Y ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.36/1.74 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.74 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.36/1.74 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.36/1.74 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.36/1.74 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.36/1.74 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.36/1.74 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.74 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.74 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.36/1.74 ,
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.36/1.74 'c_Nat_Osemiring__1__class_Oof__nat'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.36/1.74 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.36/1.74 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ), T ) ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBC'( 'tc_nat',
% 1.36/1.74 X, X ), hAPP( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'(
% 1.36/1.74 X, X ), 'tc_nat' ), Y ) ), T ) ),
% 1.36/1.74 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.74 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 1.36/1.74 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Z, X ), hAPP( 'c_COMBB'( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X, Z ), T ) ), U ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.74 'c_Finite__Set_Osetsum'( Z, X ), hAPP( 'c_COMBB'( hAPP(
% 1.36/1.74 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X, Z ), T ) ), U ) ) ],
% 1.36/1.74 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.36/1.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.36/1.75 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.36/1.75 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) )
% 1.36/1.75 , ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.36/1.75 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.36/1.75 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.36/1.75 ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), Y ), Z ), T, Y, X
% 1.36/1.75 , X ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.75 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.36/1.75 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.75 X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.75 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.75 X, 'tc_nat' ), Y ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.36/1.75 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.36/1.75 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.36/1.75 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.36/1.75 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.36/1.75 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.36/1.75 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), Y ), Z ) ), U
% 1.36/1.75 ) ), T ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.36/1.75 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.36/1.75 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( 'c_COMBB'(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), X, 'tc_fun'( X, X ), Y ), Z ) ), U
% 1.36/1.75 ) ), T ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y
% 1.36/1.75 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z
% 1.36/1.75 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y
% 1.36/1.75 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z
% 1.36/1.75 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.36/1.75 ), Y ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.36/1.75 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.36/1.75 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.75 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.36/1.75 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.36/1.75 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.75 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.75 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.36/1.75 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.36/1.75 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.75 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.36/1.75 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.75 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.36/1.75 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.36/1.75 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.75 Y, X ), Z ) ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), X ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 X ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP(
% 1.36/1.75 'c_Nat_Osemiring__1__class_Oof__nat'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.36/1.75 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ), hAPP(
% 1.36/1.75 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.75 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.36/1.75 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.36/1.75 , X ), Y ) ) ],
% 1.36/1.75 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.36/1.75 ), Y ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.36/1.75 , 'tc_nat' ), Z ) ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.36/1.75 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.36/1.75 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.75 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.36/1.75 ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.75 ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.75 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.36/1.75 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.75 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.36/1.75 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.36/1.75 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.36/1.75 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'c_Finite__Set_Osetsum'( Z, X ),
% 1.36/1.75 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), X ), Y ), T ) ), U
% 1.36/1.75 ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.36/1.75 'c_COMBC'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_COMBB'(
% 1.36/1.75 'c_Finite__Set_Osetsum'( Y, X ), 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y
% 1.36/1.75 , 'tc_bool' ), X ), Z ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ), W ) ), U )
% 1.36/1.75 ) ],
% 1.36/1.75 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.36/1.75 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.36/1.75 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.36/1.75 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 'tc_nat' ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.36/1.75 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.75 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.36/1.75 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.75 ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.36/1.75 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.75 ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.36/1.75 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.36/1.75 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.36/1.75 Y ) ) ) ],
% 1.36/1.75 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~(
% 1.36/1.75 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.75 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.36/1.75 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.75 Z ) ) ) ],
% 1.36/1.75 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.75 Z ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.36/1.75 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.36/1.75 ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.36/1.75 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.75 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.36/1.75 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.75 ) ) ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.36/1.75 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.36/1.75 'tc_Complex_Ocomplex' ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.36/1.75 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.36/1.75 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.75 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.36/1.75 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.75 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.36/1.75 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.75 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.36/1.75 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T,
% 1.36/1.75 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.75 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ), hAPP(
% 1.36/1.75 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.36/1.75 'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ) ) ), ~(
% 1.36/1.75 hBOOL( hAPP( 'c_lessequals'( U, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Z, 'tc_nat' ), U ) ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 X ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 X ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.36/1.75 , Y ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.36/1.75 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.36/1.75 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( hAPP(
% 1.36/1.75 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ), hAPP(
% 1.36/1.75 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ), =( Y, Z ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.36/1.75 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.36/1.75 X ), Y ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.36/1.75 ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.75 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.75 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.75 Y ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.36/1.75 Y ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.36/1.75 Y ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.36/1.75 Y ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.75 Y ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.36/1.75 Y ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.36/1.75 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.36/1.75 ) ), Z ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ), X )
% 1.36/1.75 , hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.75 hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ), X ), hAPP(
% 1.36/1.75 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.36/1.75 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.36/1.75 ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 1.36/1.75 ) ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.36/1.75 T, W ), U ) ) ],
% 1.36/1.75 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.36/1.75 , W ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.36/1.75 X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.36/1.75 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.36/1.75 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.36/1.75 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.36/1.75 , Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.36/1.75 Y ), Z ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ),
% 1.36/1.75 ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.75 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.36/1.75 , 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X )
% 1.36/1.75 ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.75 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.75 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.36/1.75 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), ~(
% 1.36/1.75 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.36/1.75 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.36/1.75 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.36/1.75 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~(
% 1.36/1.75 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), =( X, Z ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.36/1.75 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 'tc_nat' ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.36/1.75 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 X ) ) ), =( Y, Z ) ],
% 1.36/1.75 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 X ) ) ), =( Y, Z ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.36/1.75 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.75 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.75 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.36/1.75 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.36/1.75 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.36/1.75 , 'tc_nat' ), X ) ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.36/1.75 'tc_nat' ), X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.36/1.75 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ) ),
% 1.36/1.75 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 'tc_nat' ), Z, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.36/1.75 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.36/1.75 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.36/1.75 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.36/1.75 ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.75 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.36/1.75 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.36/1.75 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.36/1.75 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~(
% 1.36/1.75 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.36/1.75 ), Y ), T ), X ), Z ) ) ) ],
% 1.36/1.75 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.36/1.75 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.36/1.75 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.36/1.75 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.36/1.75 X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.36/1.75 [ ~( =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.36/1.75 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_fun'(
% 1.36/1.75 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ), hAPP( 'c_COMBB'(
% 1.36/1.75 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'(
% 1.36/1.75 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.36/1.75 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBS'( hAPP(
% 1.36/1.75 'c_COMBB'( 'c_COMBC'( 'tc_nat', 'tc_Complex_Ocomplex',
% 1.36/1.75 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.36/1.75 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_fun'(
% 1.36/1.75 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 1.36/1.75 'tc_nat' ), hAPP( 'c_COMBB'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.75 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.36/1.75 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'tc_fun'(
% 1.36/1.75 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.36/1.75 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_nat' ), hAPP(
% 1.36/1.75 'c_COMBB'( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.36/1.75 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.36/1.75 'tc_nat' ), 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_OIf'(
% 1.36/1.75 'tc_Complex_Ocomplex' ), 'tc_bool', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.36/1.75 'tc_fun'( 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_nat' ),
% 1.36/1.75 'c_lessequals'( 'v_i', 'tc_nat' ) ), hAPP( 'c_COMBB'( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.36/1.75 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.36/1.75 'tc_nat' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.36/1.75 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ) ), 'v_i' ) ), 'tc_nat',
% 1.36/1.75 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.36/1.75 'tc_Complex_Ocomplex' ) ), hAPP( 'c_COMBB'( hAPP(
% 1.36/1.75 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.36/1.75 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ),
% 1.36/1.75 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ),
% 1.36/1.75 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.36/1.75 'tc_nat' ), hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ) ),
% 1.36/1.75 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ) ) ), 'v_a',
% 1.36/1.75 'tc_nat', 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat',
% 1.36/1.75 'tc_Complex_Ocomplex' ) ) ) ),
% 1.36/1.75 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 'tc_nat' ), 'v_n', 'tc_nat' ) ) ),
% 1.36/1.75 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.36/1.75 'tc_nat' ), 'v_n', 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.36/1.75 'tc_Complex_Ocomplex' ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.36/1.75 'tc_Complex_Ocomplex' ), 'v_n' ) ), hAPP( 'v_a', 'v_i' ) ) ) ) ],
% 1.36/1.75 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.36/1.75 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.36/1.75 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.36/1.75 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.36/1.75 'class_Orderings_Opreorder'( Y ) ) ],
% 1.36/1.75 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.36/1.75 'class_Orderings_Oorder'( Y ) ) ],
% 1.36/1.75 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.36/1.75 ],
% 1.36/1.75 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.36/1.75 ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.36/1.75 ],
% 1.36/1.75 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.36/1.75 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.36/1.75 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.36/1.75 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.36/1.75 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.36/1.75 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.36/1.75 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.36/1.75 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.36/1.75 ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.36/1.75 ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_HOL_Oord'( 'tc_Int_Oint' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.36/1.75 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.36/1.75 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.36/1.75 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.36/1.75 ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.36/1.75 ],
% 1.36/1.75 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.36/1.75 ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.36/1.75 ],
% 1.36/1.75 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.36/1.75 ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.36/1.75 ,
% 1.36/1.75 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.36/1.75 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.36/1.75 , W ) ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.36/1.75 T, W ), U ) ) ],
% 1.36/1.75 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 1.36/1.75 ) ) ) ],
% 1.36/1.75 [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 1.36/1.75 [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 1.36/1.75 ] .
% 1.36/1.75
% 1.36/1.75
% 1.36/1.75 percentage equality = 0.153365, percentage horn = 0.805401
% 1.36/1.75 This is a problem with some equality
% 1.36/1.75
% 1.36/1.75
% 1.36/1.75
% 1.36/1.75 Options Used:
% 1.36/1.75
% 1.36/1.75 useres = 1
% 1.36/1.75 useparamod = 1
% 1.36/1.75 useeqrefl = 1
% 1.36/1.75 useeqfact = 1
% 1.36/1.75 usefactor = 1
% 1.36/1.75 usesimpsplitting = 0
% 1.36/1.75 usesimpdemod = 5
% 1.36/1.75 usesimpres = 3
% 1.36/1.75
% 1.36/1.75 resimpinuse = 1000
% 1.36/1.75 resimpclauses = 20000
% 1.36/1.75 substype = eqrewr
% 1.36/1.75 backwardsubs = 1
% 1.36/1.75 selectoldest = 5
% 1.36/1.75
% 1.36/1.75 litorderings [0] = split
% 1.36/1.75 litorderings [1] = extend the termordering, first sorting on arguments
% 1.36/1.75
% 1.36/1.75 termordering = kbo
% 1.36/1.75
% 1.36/1.75 litapriori = 0
% 1.36/1.75 termapriori = 1
% 1.36/1.75 litaposteriori = 0
% 1.36/1.75 termaposteriori = 0
% 1.36/1.75 demodaposteriori = 0
% 1.36/1.75 ordereqreflfact = 0
% 1.36/1.75
% 1.36/1.75 litselect = negord
% 1.36/1.75
% 1.36/1.75 maxweight = 15
% 1.36/1.75 maxdepth = 30000
% 1.36/1.75 maxlength = 115
% 1.36/1.75 maxnrvars = 195
% 1.36/1.75 excuselevel = 1
% 1.36/1.75 increasemaxweight = 1
% 1.36/1.75
% 1.36/1.75 maxselected = 10000000
% 1.36/1.75 maxnrclauses = 10000000
% 1.36/1.75
% 1.36/1.75 showgenerated = 0
% 1.36/1.75 showkept = 0
% 1.36/1.75 showselected = 0
% 1.36/1.75 showdeleted = 0
% 1.36/1.75 showresimp = 1
% 1.36/1.75 showstatus = 2000
% 1.36/1.75
% 1.36/1.75 prologoutput = 1
% 1.36/1.75 nrgoals = 5000000
% 1.36/1.75 totalproof = 1
% 1.36/1.75
% 1.36/1.75 Symbols occurring in the translation:
% 1.36/1.75
% 1.36/1.75 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.36/1.75 . [1, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.36/1.75 ! [4, 1] (w:0, o:76, a:1, s:1, b:0),
% 1.36/1.75 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.36/1.75 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.36/1.75 'class_OrderedGroup_Omonoid__add' [40, 1] (w:1, o:84, a:1, s:1, b:0)
% 1.36/1.75 ,
% 1.36/1.75 'c_HOL_Oplus__class_Oplus' [41, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.36/1.75 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.36/1.75 hAPP [43, 2] (w:1, o:188, a:1, s:1, b:0),
% 1.36/1.75 'class_OrderedGroup_Ocomm__monoid__add' [45, 1] (w:1, o:88, a:1, s:1
% 1.36/1.75 , b:0),
% 1.36/1.75 'class_Ring__and__Field_Oidom' [46, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.36/1.75 'class_Int_Onumber__ring' [47, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.36/1.75 'class_Ring__and__Field_Ocomm__semiring__1' [49, 1] (w:1, o:94, a:1
% 1.36/1.75 , s:1, b:0),
% 1.36/1.75 'class_Ring__and__Field_Oordered__field' [50, 1] (w:1, o:99, a:1, s:1
% 1.36/1.75 , b:0),
% 1.36/1.75 'c_HOL_Oinverse__class_Oinverse' [51, 1] (w:1, o:100, a:1, s:1, b:0)
% 1.36/1.75 ,
% 1.36/1.75 'c_lessequals' [53, 2] (w:1, o:189, a:1, s:1, b:0),
% 1.36/1.75 hBOOL [54, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.36/1.75 'c_HOL_Oord__class_Oless' [55, 2] (w:1, o:190, a:1, s:1, b:0),
% 1.36/1.75 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [56, 1]
% 1.36/1.75 (w:1, o:102, a:1, s:1, b:0),
% 1.36/1.75 'class_OrderedGroup_Opordered__comm__monoid__add' [58, 1] (w:1, o:103
% 1.36/1.75 , a:1, s:1, b:0),
% 1.36/1.75 'class_Orderings_Oorder' [59, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.36/1.75 'class_OrderedGroup_Opordered__ab__group__add' [62, 1] (w:1, o:105
% 1.36/1.75 , a:1, s:1, b:0),
% 1.36/1.75 'class_Orderings_Opreorder' [64, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.36/1.75 'class_OrderedGroup_Opordered__ab__group__add__abs' [65, 1] (w:1, o:
% 1.36/1.75 107, a:1, s:1, b:0),
% 1.36/1.75 'c_HOL_Oabs__class_Oabs' [66, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.36/1.75 'class_OrderedGroup_Opordered__ab__semigroup__add' [67, 1] (w:1, o:
% 1.36/1.75 109, a:1, s:1, b:0),
% 1.36/1.75 'class_Orderings_Olinorder' [68, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.36/1.75 'class_RealVector_Oreal__normed__vector' [69, 1] (w:1, o:111, a:1, s:
% 1.36/1.75 1, b:0),
% 1.36/1.75 'class_RealVector_Ometric__space' [71, 1] (w:1, o:112, a:1, s:1, b:0)
% 1.36/1.75 ,
% 1.36/1.75 'c_COMBB' [73, 4] (w:1, o:209, a:1, s:1, b:0),
% 1.36/1.75 'c_Lim_OLIM' [74, 5] (w:1, o:213, a:1, s:1, b:0),
% 1.36/1.75 'class_RealVector_Oreal__normed__div__algebra' [76, 1] (w:1, o:113
% 1.36/1.75 , a:1, s:1, b:0),
% 1.36/1.75 'c_Lim_OisCont' [77, 4] (w:1, o:210, a:1, s:1, b:0),
% 1.36/1.75 'class_OrderedGroup_Olordered__ab__group__add' [78, 1] (w:1, o:82, a:
% 1.36/1.75 1, s:1, b:0),
% 1.36/1.75 'class_Ring__and__Field_Odivision__ring' [79, 1] (w:1, o:115, a:1, s:
% 1.36/1.75 1, b:0),
% 1.36/1.75 'class_Ring__and__Field_Odivision__by__zero' [80, 1] (w:1, o:116, a:1
% 2.27/2.67 , s:1, b:0),
% 2.27/2.67 'c_Suc' [81, 0] (w:1, o:29, a:1, s:1, b:0),
% 2.27/2.67 'tc_nat' [82, 0] (w:1, o:30, a:1, s:1, b:0),
% 2.27/2.67 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [85, 1]
% 2.27/2.67 (w:1, o:117, a:1, s:1, b:0),
% 2.27/2.67 'class_Ring__and__Field_Oordered__idom' [86, 1] (w:1, o:118, a:1, s:1
% 2.27/2.67 , b:0),
% 2.27/2.67 'c_HOL_Ominus__class_Ominus' [87, 1] (w:1, o:119, a:1, s:1, b:0),
% 2.27/2.67 'c_HOL_Otimes__class_Otimes' [89, 1] (w:1, o:120, a:1, s:1, b:0),
% 2.27/2.67 'c_Parity_Oeven__odd__class_Oeven' [93, 2] (w:1, o:191, a:1, s:1, b:0
% 2.27/2.67 ),
% 2.27/2.67 'class_Finite__Set_Ofinite_Ofinite' [94, 1] (w:1, o:121, a:1, s:1, b:
% 2.27/2.67 0),
% 2.27/2.67 'c_Finite__Set_Ofinite' [96, 2] (w:1, o:192, a:1, s:1, b:0),
% 2.27/2.67 'c_Power_Opower__class_Opower' [97, 1] (w:1, o:122, a:1, s:1, b:0),
% 2.27/2.67 'class_Int_Oring__char__0' [99, 1] (w:1, o:123, a:1, s:1, b:0),
% 2.27/2.67 'c_Int_Onumber__class_Onumber__of' [100, 2] (w:1, o:193, a:1, s:1, b:
% 2.27/2.67 0),
% 2.27/2.67 'class_Ring__and__Field_Osemiring' [101, 1] (w:1, o:128, a:1, s:1, b:
% 2.27/2.67 0),
% 2.27/2.67 'class_Int_Onumber' [102, 1] (w:1, o:129, a:1, s:1, b:0),
% 2.27/2.67 'class_OrderedGroup_Oab__semigroup__add' [105, 1] (w:1, o:130, a:1
% 2.27/2.67 , s:1, b:0),
% 2.27/2.67 'class_OrderedGroup_Oab__group__add' [106, 1] (w:1, o:131, a:1, s:1
% 2.27/2.67 , b:0),
% 2.27/2.67 'c_SEQ_OLIMSEQ' [109, 3] (w:1, o:201, a:1, s:1, b:0),
% 2.27/2.67 'c_SEQ_OCauchy' [113, 2] (w:1, o:194, a:1, s:1, b:0),
% 2.27/2.67 'class_RealVector_Oreal__normed__field' [114, 1] (w:1, o:132, a:1, s:
% 2.27/2.67 1, b:0),
% 2.27/2.67 'c_Deriv_Odifferentiable' [115, 3] (w:1, o:203, a:1, s:1, b:0),
% 2.27/2.67 'c_Limits_Otendsto' [117, 5] (w:1, o:214, a:1, s:1, b:0),
% 2.27/2.67 'class_Ring__and__Field_Ofield' [118, 1] (w:1, o:133, a:1, s:1, b:0)
% 2.27/2.67 ,
% 2.27/2.67 'class_Ring__and__Field_Oordered__ring__strict' [119, 1] (w:1, o:134
% 2.27/2.67 , a:1, s:1, b:0),
% 2.27/2.67 'c_HOL_Oone__class_Oone' [120, 1] (w:1, o:85, a:1, s:1, b:0),
% 2.27/2.67 'class_Ring__and__Field_Oordered__semidom' [121, 1] (w:1, o:135, a:1
% 2.27/2.67 , s:1, b:0),
% 2.27/2.67 'class_Ring__and__Field_Ocomm__semiring' [122, 1] (w:1, o:114, a:1
% 2.27/2.67 , s:1, b:0),
% 2.27/2.67 'class_RealVector_Oreal__normed__algebra' [123, 1] (w:1, o:136, a:1
% 2.27/2.67 , s:1, b:0),
% 2.27/2.67 'c_Deriv_Oderiv' [128, 4] (w:1, o:211, a:1, s:1, b:0),
% 2.27/2.67 'class_Ring__and__Field_Opordered__ring' [129, 1] (w:1, o:140, a:1
% 2.27/2.67 , s:1, b:0),
% 2.27/2.67 'class_OrderedGroup_Ogroup__add' [132, 1] (w:1, o:141, a:1, s:1, b:0)
% 2.27/2.67 ,
% 2.27/2.67 'c_Series_Osuminf' [133, 2] (w:1, o:195, a:1, s:1, b:0),
% 2.27/2.67 'c_Series_Osummable' [134, 2] (w:1, o:196, a:1, s:1, b:0),
% 2.27/2.67 'c_HOL_Oinverse__class_Odivide' [135, 1] (w:1, o:142, a:1, s:1, b:0)
% 2.27/2.67 ,
% 2.27/2.67 'tc_fun' [136, 2] (w:1, o:197, a:1, s:1, b:0),
% 2.27/2.67 'c_COMBS' [137, 5] (w:1, o:215, a:1, s:1, b:0),
% 2.27/2.67 'class_OrderedGroup_Olordered__ab__group__add__abs' [142, 1] (w:1, o:
% 2.27/2.67 83, a:1, s:1, b:0),
% 2.27/2.67 'class_RealVector_Oreal__normed__algebra__1' [144, 1] (w:1, o:143, a:
% 2.27/2.67 1, s:1, b:0),
% 2.27/2.67 'c_Finite__Set_Osetsum' [146, 2] (w:1, o:198, a:1, s:1, b:0),
% 2.27/2.67 'c_SetInterval_Oord__class_OatLeastLessThan' [147, 3] (w:1, o:204, a:
% 2.27/2.67 1, s:1, b:0),
% 2.27/2.67 'class_Ring__and__Field_Osemiring__1' [148, 1] (w:1, o:145, a:1, s:1
% 2.27/2.67 , b:0),
% 2.27/2.67 'c_Nat_Osemiring__1__class_Oof__nat' [149, 1] (w:1, o:146, a:1, s:1
% 2.27/2.67 , b:0),
% 2.27/2.67 'class_OrderedGroup_Ocancel__ab__semigroup__add' [150, 1] (w:1, o:147
% 2.27/2.67 , a:1, s:1, b:0),
% 2.27/2.67 'class_OrderedGroup_Ocancel__semigroup__add' [151, 1] (w:1, o:148, a:
% 2.27/2.67 1, s:1, b:0),
% 2.27/2.67 'c_in' [153, 3] (w:1, o:205, a:1, s:1, b:0),
% 2.27/2.67 'c_Series_Osums' [154, 3] (w:1, o:206, a:1, s:1, b:0),
% 2.27/2.67 'class_OrderedGroup_Omonoid__mult' [156, 1] (w:1, o:149, a:1, s:1, b:
% 2.27/2.67 0),
% 2.27/2.67 'c_SEQ_OZseq' [159, 2] (w:1, o:199, a:1, s:1, b:0),
% 2.27/2.67 'c_COMBC' [160, 3] (w:1, o:202, a:1, s:1, b:0),
% 2.27/2.67 'class_HOL_Oord' [161, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.27/2.67 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1' [162, 6] (w:1
% 2.27/2.67 , o:216, a:1, s:1, b:0),
% 2.27/2.67 'v_n' [163, 0] (w:1, o:61, a:1, s:1, b:0),
% 2.27/2.67 'class_Ring__and__Field_Oabs__if' [167, 1] (w:1, o:150, a:1, s:1, b:0
% 2.27/2.67 ),
% 2.27/2.67 'tc_Complex_Ocomplex' [168, 0] (w:1, o:67, a:1, s:1, b:0),
% 29.51/29.84 'c_FFT__Mirabelle_Oroot' [169, 1] (w:1, o:151, a:1, s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Oordered__semiring__strict' [172, 1] (w:1, o:
% 29.51/29.84 137, a:1, s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Opordered__ring__abs' [173, 1] (w:1, o:152
% 29.51/29.84 , a:1, s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Oordered__semiring' [174, 1] (w:1, o:138, a:1
% 29.51/29.84 , s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Oordered__comm__semiring__strict' [175, 1]
% 29.51/29.84 (w:1, o:139, a:1, s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Olordered__ring' [176, 1] (w:1, o:153, a:1
% 29.51/29.84 , s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Oring' [177, 1] (w:1, o:124, a:1, s:1, b:0),
% 29.51/29.84
% 29.51/29.84 'class_Ring__and__Field_Ozero__neq__one' [178, 1] (w:1, o:154, a:1
% 29.51/29.84 , s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Ono__zero__divisors' [179, 1] (w:1, o:98, a:1
% 29.51/29.84 , s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Omult__zero' [180, 1] (w:1, o:95, a:1, s:1
% 29.51/29.84 , b:0),
% 29.51/29.84 'class_Power_Opower' [181, 1] (w:1, o:158, a:1, s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Osemiring__0' [182, 1] (w:1, o:144, a:1, s:1
% 29.51/29.84 , b:0),
% 29.51/29.84 'class_RealVector_Oreal__field' [183, 1] (w:1, o:159, a:1, s:1, b:0)
% 29.51/29.84 ,
% 29.51/29.84 'v_i' [185, 0] (w:1, o:68, a:1, s:1, b:0),
% 29.51/29.84 'c_HOL_OIf' [186, 1] (w:1, o:160, a:1, s:1, b:0),
% 29.51/29.84 'tc_bool' [187, 0] (w:1, o:69, a:1, s:1, b:0),
% 29.51/29.84 'c_fequal' [188, 2] (w:1, o:200, a:1, s:1, b:0),
% 29.51/29.84
% 29.51/29.84 'c_Transcendental_Osko__Transcendental__Xreal__setsum__nat__ivl__bounded2__1__1'
% 29.51/29.84 [190, 4] (w:1, o:212, a:1, s:1, b:0),
% 29.51/29.84 'c_FFT__Mirabelle_ODFT' [191, 3] (w:1, o:207, a:1, s:1, b:0),
% 29.51/29.84 'c_FFT__Mirabelle_OIDFT' [192, 3] (w:1, o:208, a:1, s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Ocomm__semiring__0' [193, 1] (w:1, o:93, a:1
% 29.51/29.84 , s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Ocomm__ring' [194, 1] (w:1, o:92, a:1, s:1
% 29.51/29.84 , b:0),
% 29.51/29.84 'class_OrderedGroup_Oab__semigroup__idem__mult' [195, 1] (w:1, o:155
% 29.51/29.84 , a:1, s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Omult__mono' [196, 1] (w:1, o:96, a:1, s:1
% 29.51/29.84 , b:0),
% 29.51/29.84 'class_Ring__and__Field_Omult__mono1' [197, 1] (w:1, o:97, a:1, s:1
% 29.51/29.84 , b:0),
% 29.51/29.84 'class_OrderedGroup_Ocomm__monoid__mult' [198, 1] (w:1, o:156, a:1
% 29.51/29.84 , s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Opordered__cancel__semiring' [199, 1] (w:1
% 29.51/29.84 , o:161, a:1, s:1, b:0),
% 29.51/29.84 'class_OrderedGroup_Oab__semigroup__mult' [200, 1] (w:1, o:157, a:1
% 29.51/29.84 , s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Opordered__semiring' [205, 1] (w:1, o:162, a:
% 29.51/29.84 1, s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Oring__1' [206, 1] (w:1, o:125, a:1, s:1, b:0
% 29.51/29.84 ),
% 29.51/29.84 'class_Ring__and__Field_Oring__no__zero__divisors' [207, 1] (w:1, o:
% 29.51/29.84 126, a:1, s:1, b:0),
% 29.51/29.84 'class_Ring__and__Field_Oring__1__no__zero__divisors' [209, 1] (w:1
% 29.51/29.84 , o:127, a:1, s:1, b:0),
% 29.51/29.84 'class_Nat_Osemiring__char__0' [210, 1] (w:1, o:81, a:1, s:1, b:0),
% 29.51/29.84 'v_a' [213, 0] (w:1, o:72, a:1, s:1, b:0),
% 29.51/29.84 'tc_Int_Oint' [216, 0] (w:1, o:75, a:1, s:1, b:0).
% 29.51/29.84
% 29.51/29.84
% 29.51/29.84 Starting Search:
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84
% 29.51/29.84 Intermediate Status:
% 29.51/29.84 Generated: 3855
% 29.51/29.84 Kept: 2391
% 29.51/29.84 Inuse: 136
% 29.51/29.84 Deleted: 0
% 29.51/29.84 Deletedinuse: 0
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84
% 29.51/29.84 Intermediate Status:
% 29.51/29.84 Generated: 8260
% 29.51/29.84 Kept: 4445
% 29.51/29.84 Inuse: 218
% 29.51/29.84 Deleted: 3
% 29.51/29.84 Deletedinuse: 0
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84
% 29.51/29.84 Intermediate Status:
% 29.51/29.84 Generated: 21993
% 29.51/29.84 Kept: 6662
% 29.51/29.84 Inuse: 253
% 29.51/29.84 Deleted: 3
% 29.51/29.84 Deletedinuse: 0
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84
% 29.51/29.84 Intermediate Status:
% 29.51/29.84 Generated: 26967
% 29.51/29.84 Kept: 8706
% 29.51/29.84 Inuse: 291
% 29.51/29.84 Deleted: 5
% 29.51/29.84 Deletedinuse: 0
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84
% 29.51/29.84 Intermediate Status:
% 29.51/29.84 Generated: 33059
% 29.51/29.84 Kept: 10723
% 29.51/29.84 Inuse: 344
% 29.51/29.84 Deleted: 6
% 29.51/29.84 Deletedinuse: 0
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84
% 29.51/29.84 Intermediate Status:
% 29.51/29.84 Generated: 42305
% 29.51/29.84 Kept: 13503
% 29.51/29.84 Inuse: 359
% 29.51/29.84 Deleted: 7
% 29.51/29.84 Deletedinuse: 0
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84
% 29.51/29.84 Intermediate Status:
% 29.51/29.84 Generated: 49353
% 29.51/29.84 Kept: 15584
% 29.51/29.84 Inuse: 403
% 29.51/29.84 Deleted: 8
% 29.51/29.84 Deletedinuse: 0
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84 Resimplifying inuse:
% 29.51/29.84 Done
% 29.51/29.84
% 29.51/29.84
% 29.51/29.84 Intermediate Status:
% 29.51/29.84 Generated: 58066
% 93.19/93.55 Kept: 17584
% 93.19/93.55 Inuse: 444
% 93.19/93.55 Deleted: 10
% 93.19/93.55 Deletedinuse: 0
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 65669
% 93.19/93.55 Kept: 19605
% 93.19/93.55 Inuse: 456
% 93.19/93.55 Deleted: 10
% 93.19/93.55 Deletedinuse: 0
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying clauses:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 75811
% 93.19/93.55 Kept: 21639
% 93.19/93.55 Inuse: 486
% 93.19/93.55 Deleted: 296
% 93.19/93.55 Deletedinuse: 0
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 88647
% 93.19/93.55 Kept: 24527
% 93.19/93.55 Inuse: 556
% 93.19/93.55 Deleted: 296
% 93.19/93.55 Deletedinuse: 0
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 95755
% 93.19/93.55 Kept: 26613
% 93.19/93.55 Inuse: 581
% 93.19/93.55 Deleted: 296
% 93.19/93.55 Deletedinuse: 0
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 102277
% 93.19/93.55 Kept: 28723
% 93.19/93.55 Inuse: 611
% 93.19/93.55 Deleted: 296
% 93.19/93.55 Deletedinuse: 0
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 121214
% 93.19/93.55 Kept: 32736
% 93.19/93.55 Inuse: 626
% 93.19/93.55 Deleted: 304
% 93.19/93.55 Deletedinuse: 8
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 131000
% 93.19/93.55 Kept: 35823
% 93.19/93.55 Inuse: 641
% 93.19/93.55 Deleted: 304
% 93.19/93.55 Deletedinuse: 8
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 138765
% 93.19/93.55 Kept: 37842
% 93.19/93.55 Inuse: 671
% 93.19/93.55 Deleted: 304
% 93.19/93.55 Deletedinuse: 8
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 165648
% 93.19/93.55 Kept: 41921
% 93.19/93.55 Inuse: 686
% 93.19/93.55 Deleted: 304
% 93.19/93.55 Deletedinuse: 8
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying clauses:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 173553
% 93.19/93.55 Kept: 44151
% 93.19/93.55 Inuse: 711
% 93.19/93.55 Deleted: 590
% 93.19/93.55 Deletedinuse: 8
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 190045
% 93.19/93.55 Kept: 47464
% 93.19/93.55 Inuse: 756
% 93.19/93.55 Deleted: 590
% 93.19/93.55 Deletedinuse: 8
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 196224
% 93.19/93.55 Kept: 49931
% 93.19/93.55 Inuse: 771
% 93.19/93.55 Deleted: 590
% 93.19/93.55 Deletedinuse: 8
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 203280
% 93.19/93.55 Kept: 52298
% 93.19/93.55 Inuse: 781
% 93.19/93.55 Deleted: 590
% 93.19/93.55 Deletedinuse: 8
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 212992
% 93.19/93.55 Kept: 54862
% 93.19/93.55 Inuse: 816
% 93.19/93.55 Deleted: 590
% 93.19/93.55 Deletedinuse: 8
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 222404
% 93.19/93.55 Kept: 56906
% 93.19/93.55 Inuse: 855
% 93.19/93.55 Deleted: 591
% 93.19/93.55 Deletedinuse: 8
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 229686
% 93.19/93.55 Kept: 58910
% 93.19/93.55 Inuse: 870
% 93.19/93.55 Deleted: 593
% 93.19/93.55 Deletedinuse: 10
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 239422
% 93.19/93.55 Kept: 61842
% 93.19/93.55 Inuse: 890
% 93.19/93.55 Deleted: 593
% 93.19/93.55 Deletedinuse: 10
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying clauses:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 266040
% 93.19/93.55 Kept: 65175
% 93.19/93.55 Inuse: 905
% 93.19/93.55 Deleted: 1159
% 93.19/93.55 Deletedinuse: 10
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 290393
% 93.19/93.55 Kept: 68115
% 93.19/93.55 Inuse: 910
% 93.19/93.55 Deleted: 1160
% 93.19/93.55 Deletedinuse: 11
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 307806
% 93.19/93.55 Kept: 71038
% 93.19/93.55 Inuse: 915
% 93.19/93.55 Deleted: 1160
% 93.19/93.55 Deletedinuse: 11
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 320222
% 93.19/93.55 Kept: 74881
% 93.19/93.55 Inuse: 925
% 93.19/93.55 Deleted: 1160
% 93.19/93.55 Deletedinuse: 11
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 329209
% 93.19/93.55 Kept: 77029
% 93.19/93.55 Inuse: 929
% 93.19/93.55 Deleted: 1161
% 93.19/93.55 Deletedinuse: 11
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 341474
% 93.19/93.55 Kept: 80594
% 93.19/93.55 Inuse: 936
% 93.19/93.55 Deleted: 1170
% 93.19/93.55 Deletedinuse: 12
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying clauses:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 346635
% 93.19/93.55 Kept: 82599
% 93.19/93.55 Inuse: 946
% 93.19/93.55 Deleted: 1612
% 93.19/93.55 Deletedinuse: 12
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55 Resimplifying inuse:
% 93.19/93.55 Done
% 93.19/93.55
% 93.19/93.55
% 93.19/93.55 Intermediate Status:
% 93.19/93.55 Generated: 358441
% 93.19/93.55 Kept: 84897
% 176.95/177.34 Inuse: 971
% 176.95/177.34 Deleted: 1613
% 176.95/177.34 Deletedinuse: 13
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 372861
% 176.95/177.34 Kept: 87190
% 176.95/177.34 Inuse: 981
% 176.95/177.34 Deleted: 1613
% 176.95/177.34 Deletedinuse: 13
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 386933
% 176.95/177.34 Kept: 89222
% 176.95/177.34 Inuse: 989
% 176.95/177.34 Deleted: 1613
% 176.95/177.34 Deletedinuse: 13
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 408502
% 176.95/177.34 Kept: 92596
% 176.95/177.34 Inuse: 996
% 176.95/177.34 Deleted: 1613
% 176.95/177.34 Deletedinuse: 13
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 431140
% 176.95/177.34 Kept: 95969
% 176.95/177.34 Inuse: 1006
% 176.95/177.34 Deleted: 1613
% 176.95/177.34 Deletedinuse: 13
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 440105
% 176.95/177.34 Kept: 98289
% 176.95/177.34 Inuse: 1026
% 176.95/177.34 Deleted: 1613
% 176.95/177.34 Deletedinuse: 13
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 453618
% 176.95/177.34 Kept: 101277
% 176.95/177.34 Inuse: 1046
% 176.95/177.34 Deleted: 1615
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 487071
% 176.95/177.34 Kept: 104800
% 176.95/177.34 Inuse: 1056
% 176.95/177.34 Deleted: 1615
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying clauses:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 509067
% 176.95/177.34 Kept: 108114
% 176.95/177.34 Inuse: 1076
% 176.95/177.34 Deleted: 1825
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 525894
% 176.95/177.34 Kept: 110408
% 176.95/177.34 Inuse: 1086
% 176.95/177.34 Deleted: 1825
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 551919
% 176.95/177.34 Kept: 114745
% 176.95/177.34 Inuse: 1096
% 176.95/177.34 Deleted: 1825
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 575218
% 176.95/177.34 Kept: 118289
% 176.95/177.34 Inuse: 1101
% 176.95/177.34 Deleted: 1825
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 588289
% 176.95/177.34 Kept: 120289
% 176.95/177.34 Inuse: 1123
% 176.95/177.34 Deleted: 1825
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 601089
% 176.95/177.34 Kept: 122717
% 176.95/177.34 Inuse: 1151
% 176.95/177.34 Deleted: 1825
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 615799
% 176.95/177.34 Kept: 130332
% 176.95/177.34 Inuse: 1152
% 176.95/177.34 Deleted: 1825
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying clauses:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 638498
% 176.95/177.34 Kept: 133630
% 176.95/177.34 Inuse: 1171
% 176.95/177.34 Deleted: 1935
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 654038
% 176.95/177.34 Kept: 135657
% 176.95/177.34 Inuse: 1176
% 176.95/177.34 Deleted: 1935
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 669585
% 176.95/177.34 Kept: 137676
% 176.95/177.34 Inuse: 1181
% 176.95/177.34 Deleted: 1935
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 685177
% 176.95/177.34 Kept: 139699
% 176.95/177.34 Inuse: 1186
% 176.95/177.34 Deleted: 1935
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 700904
% 176.95/177.34 Kept: 141737
% 176.95/177.34 Inuse: 1191
% 176.95/177.34 Deleted: 1935
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 716625
% 176.95/177.34 Kept: 143790
% 176.95/177.34 Inuse: 1196
% 176.95/177.34 Deleted: 1935
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 735730
% 176.95/177.34 Kept: 147363
% 176.95/177.34 Inuse: 1211
% 176.95/177.34 Deleted: 1935
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 745928
% 176.95/177.34 Kept: 149692
% 176.95/177.34 Inuse: 1216
% 176.95/177.34 Deleted: 1935
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 756951
% 176.95/177.34 Kept: 152186
% 176.95/177.34 Inuse: 1221
% 176.95/177.34 Deleted: 1935
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying clauses:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 767817
% 176.95/177.34 Kept: 154207
% 176.95/177.34 Inuse: 1235
% 176.95/177.34 Deleted: 2113
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34 Resimplifying inuse:
% 176.95/177.34 Done
% 176.95/177.34
% 176.95/177.34
% 176.95/177.34 Intermediate Status:
% 176.95/177.34 Generated: 776463
% 176.95/177.34 Kept: 156526
% 176.95/177.34 Inuse: 1246
% 176.95/177.34 Deleted: 2113
% 176.95/177.34 Deletedinuse: 15
% 176.95/177.34
% 176.95/177.34 ResimplifyiCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------