TSTP Solution File: SWV683-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV683-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 16:27:45 EDT 2022
% Result : Timeout 300.09s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV683-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jun 14 19:07:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.01/1.43 *** allocated 10000 integers for termspace/termends
% 1.01/1.43 *** allocated 10000 integers for clauses
% 1.01/1.43 *** allocated 10000 integers for justifications
% 1.01/1.43 *** allocated 15000 integers for termspace/termends
% 1.01/1.43 *** allocated 22500 integers for termspace/termends
% 1.01/1.43 *** allocated 33750 integers for termspace/termends
% 1.01/1.43 Bliksem 1.12
% 1.01/1.43
% 1.01/1.43
% 1.01/1.43 Automatic Strategy Selection
% 1.01/1.43
% 1.01/1.43 Clauses:
% 1.01/1.43 [
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), X ), hAPP(
% 1.01/1.43 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.01/1.43 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.01/1.43 , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.01/1.43 , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.01/1.43 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.43 [ =( X, hAPP( 'c_Suc', Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' )
% 1.01/1.43 , Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y
% 1.01/1.43 ) ) ) ) ],
% 1.01/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.43 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.01/1.43 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.01/1.43 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( Z, Y, 'tc_nat' ) )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.43 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), X ), hAPP(
% 1.01/1.43 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Y, X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 Y, X ), Z ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Y, X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.01/1.43 'c_Deriv_Odifferentiable'( Y, Z, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.01/1.43 'c_Deriv_Odifferentiable'( Y, Z, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.01/1.43 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z )
% 1.01/1.43 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X
% 1.01/1.43 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.01/1.43 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T )
% 1.01/1.43 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), X
% 1.01/1.43 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.01/1.43 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.01/1.43 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.01/1.43 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.01/1.43 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.01/1.43 Y ) ) ) ],
% 1.01/1.43 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( Y, Z ), ~(
% 1.01/1.43 'c_Deriv_Oderiv'( T, U, Z, X ) ), ~( 'c_Deriv_Oderiv'( T, U, Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.01/1.43 Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.01/1.43 Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Z ), U ) ), W ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.01/1.43 ), X ), W ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.01/1.43 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), X ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.01/1.43 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.01/1.43 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat'
% 1.01/1.43 ), 'tc_nat' ), 'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ), X )
% 1.01/1.43 , hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ), X ), hAPP(
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.01/1.43 'tc_nat' ), 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.43 X ), Y ), Z ) ), Z ), Y ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.01/1.43 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), T ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), T ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.43 , X ), Y ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.43 , X ), Y ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.43 , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.43 , X ), Y ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.01/1.43 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.43 ), Z ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.01/1.43 , Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.01/1.43 Y ), Z ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.43 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.43 , 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X )
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.43 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.43 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), =( X, Z ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.43 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.01/1.43 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.01/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.43 , 'tc_nat' ), X ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.01/1.43 hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ),
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( X ) ),
% 1.01/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_nat' ), Y, 'tc_nat' ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.01/1.43 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.43 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( 'c_Suc', Y ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ) ), 'tc_nat' ), 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.01/1.43 'c_Suc', X ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ) ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.01/1.43 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( 'c_Suc', Z ), T,
% 1.01/1.43 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), Z ), Y ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.43 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.43 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBC'( X, 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.43 'tc_fun'( 'tc_nat', X ), X ), 'c_Power_Opower__class_Opower'( X ) ), Y )
% 1.01/1.43 ), hAPP( 'c_Suc', Z ) ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.01/1.43 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 X ) ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( hAPP(
% 1.01/1.43 'c_Power_Opower__class_Opower'( X ), hAPP( Y, T ) ), Z ) ) ), X ), ~(
% 1.01/1.43 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.43 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.01/1.43 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.43 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.01/1.43 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.01/1.43 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ),
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.01/1.43 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.01/1.43 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ),
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( X ), hAPP( 'c_Suc', Y ) ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.01/1.43 hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.01/1.43 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.01/1.43 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.43 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.01/1.43 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.43 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.01/1.43 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, Z, 'tc_nat' ) )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.01/1.43 Y ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.01/1.43 'tc_nat' ), 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 ) ), Z ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.43 , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.43 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.43 ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.43 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Odiv'(
% 1.01/1.43 X, Y, 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.43 [ ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), X ) )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y
% 1.01/1.43 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X
% 1.01/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.01/1.43 ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.43 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.01/1.43 ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.43 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.43 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.43 , X ), Y ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.43 ), Y ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.01/1.43 , 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.01/1.43 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.01/1.43 , Z ), U ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.43 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.01/1.43 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.43 ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.01/1.43 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.43 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ), 'tc_nat' ), X ) ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ), 'tc_nat' ), Y ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.01/1.43 ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.43 , 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ),
% 1.01/1.43 hAPP( 'c_Suc', T ) ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ), 'tc_nat' ), Y ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ =( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.01/1.43 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.43 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ),
% 1.01/1.43 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, hAPP( 'c_Suc', T ),
% 1.01/1.43 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ) ) ), hAPP( Y
% 1.01/1.43 , hAPP( 'c_Suc', T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.01/1.43 'c_Suc', T ), 'tc_nat' ), Z ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.01/1.43 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBS'(
% 1.01/1.43 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.01/1.43 , 'c_HOL_Oplus__class_Oplus'( X ) ), Y ) ), Z ), X ) ), ~(
% 1.01/1.43 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.01/1.43 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.01/1.43 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.01/1.43 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.01/1.43 ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.01/1.43 ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.01/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.01/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.01/1.43 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z )
% 1.01/1.43 , Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.01/1.43 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z )
% 1.01/1.43 , Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.43 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.43 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.01/1.43 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.43 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.01/1.43 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.01/1.43 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.01/1.43 Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.43 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.43 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, Y, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.01/1.43 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.01/1.43 ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.43 X ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z ) ), T ), U, Y, X ), ~(
% 1.01/1.43 'c_Limits_OZfun'( T, U, Y, X ) ), ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.43 X ), X ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ) ), Z ), T, hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T
% 1.01/1.43 , W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.43 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.01/1.43 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.43 [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL(
% 1.01/1.43 hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.01/1.43 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.01/1.43 [ ~( =( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.43 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.01/1.43 ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( X ), 'c_Fact_Ofact__class_Ofact'( Y
% 1.01/1.43 , 'tc_nat' ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_nat' ) ), Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_nat' ) ), Y ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.01/1.43 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 ), Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.43 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.43 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X
% 1.01/1.43 ) ), Y ) ), Z ), X ), ~( 'c_Series_Osummable'( Z, X ) ), ~(
% 1.01/1.43 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.43 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ) ), Z
% 1.01/1.43 ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.43 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.01/1.43 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.01/1.43 , 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.01/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.01/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.01/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) ) ) ],
% 1.01/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.01/1.43 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T,
% 1.01/1.43 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, 'tc_nat' ) ) ), hAPP(
% 1.01/1.43 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.01/1.43 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_Complex_Ocomplex' ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.43 X ), X ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) ), Z ), T, hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.43 , W ), hAPP( Y, T ) ) ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.01/1.43 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.43 X ), X ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) ), Z ), T, hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), hAPP( Y, T ) ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.43 , W ), hAPP( Z, T ) ) ), X ), ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ), ~(
% 1.01/1.43 'c_Deriv_Oderiv'( Y, T, W, X ) ) ],
% 1.01/1.43 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.01/1.43 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.01/1.43 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.01/1.43 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.01/1.43 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U )
% 1.01/1.43 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T
% 1.01/1.43 ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.01/1.43 ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.43 , Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.43 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.01/1.43 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X )
% 1.01/1.43 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), X ), W ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), T ) ), U ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.01/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.01/1.43 ), Y ), T ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.01/1.43 T ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.43 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.43 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.01/1.43 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.43 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.43 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.01/1.43 , U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U
% 1.01/1.43 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.43 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.43 , Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.01/1.43 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.01/1.43 ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.43 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.01/1.43 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.01/1.43 ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.01/1.43 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.01/1.43 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.01/1.43 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.01/1.43 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.01/1.43 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Z ) ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 , X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T, hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z
% 1.01/1.43 , T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T, hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Y
% 1.01/1.43 , hAPP( Z, T ), U, X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.43 , Z ) ), T ), U, Y, X ), ~( 'c_Limits_OZfun'( T, U, Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.43 , Z ) ), T ), U, Y, X ), ~( 'c_Limits_OZfun'( T, U, Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBB'( X, X, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.43 , Y ) ), Z ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U )
% 1.01/1.43 , X ), ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.43 Y, X ), Z ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), T ), Z ) ), U ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.01/1.43 ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.01/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.01/1.43 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.01/1.43 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), ~(
% 1.01/1.43 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.01/1.43 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.43 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ),
% 1.01/1.43 =( Z, T ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OZseq'( Z,
% 1.01/1.43 X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.01/1.43 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OZseq'( Z,
% 1.01/1.43 X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.43 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~(
% 1.01/1.43 'c_Series_Osummable'( Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.43 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~(
% 1.01/1.43 'c_Series_Osummable'( Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.43 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.43 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.43 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z )
% 1.01/1.43 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.43 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ),
% 1.01/1.43 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.43 ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y
% 1.01/1.43 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z
% 1.01/1.43 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y
% 1.01/1.43 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.01/1.43 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.01/1.43 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z
% 1.01/1.43 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.44 , 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.44 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.01/1.44 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.44 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), 'c_Fact_Ofact__class_Ofact'( Y
% 1.01/1.44 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.44 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Fact_Ofact__class_Ofact'( X
% 1.01/1.44 , 'tc_nat' ), 'tc_nat' ), 'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.01/1.44 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), Z ) ) )
% 1.01/1.44 , hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ), =( Y,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.01/1.44 Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) ) ],
% 1.01/1.44 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.01/1.44 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.01/1.44 hAPP( 'c_Suc', Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.01/1.44 X ) ) ) ],
% 1.01/1.44 [ =( X, 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), hAPP( 'c_Suc', X ) ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ), Y ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.01/1.44 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.01/1.44 ) ), Z ) ) ],
% 1.01/1.44 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.44 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.01/1.44 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.44 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.01/1.44 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.01/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.44 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), hAPP( 'c_Suc',
% 1.01/1.44 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.44 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 Y, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.01/1.44 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 1.01/1.44 ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 X, 'tc_nat' ), Y ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.01/1.44 hAPP( 'c_Suc', Z ) ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ) ) ) )
% 1.01/1.44 ],
% 1.01/1.44 [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ),
% 1.01/1.44 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ) ],
% 1.01/1.44 [ =( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.01/1.44 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.44 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.01/1.44 , X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.01/1.44 , X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.44 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.01/1.44 X ) ) ) ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.01/1.44 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.01/1.44 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.01/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.44 , 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.44 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.44 , 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, hAPP( 'c_Suc', T ),
% 1.01/1.44 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) )
% 1.01/1.44 , hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ) ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ) ) ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', T ), 'tc_nat' ), Z ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', Y )
% 1.01/1.44 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastAtMost'( X, Y, 'tc_nat'
% 1.01/1.44 ) ) ],
% 1.01/1.44 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.01/1.44 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.44 ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.44 ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.01/1.44 , U ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( U, X ), Z ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.44 ), X ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.01/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), T ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Z ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U, Y, X ), ~(
% 1.01/1.44 'c_Limits_OZfun'( Z, U, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U, Y, X ), ~(
% 1.01/1.44 'c_Limits_OZfun'( Z, U, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.01/1.44 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.01/1.44 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.44 ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.01/1.44 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.44 ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.01/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.44 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.01/1.44 ), Y ), T ), X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.01/1.44 X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U, Y, X ), ~(
% 1.01/1.44 'c_Limits_OZfun'( T, U, Y, X ) ), ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.44 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.44 ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), 'c_Fact_Ofact__class_Ofact'( Y
% 1.01/1.44 , 'tc_nat' ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), T ), U, Y, X ), ~(
% 1.01/1.44 'c_Limits_OZfun'( T, U, Y, X ) ), ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), Z ), T, hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z
% 1.01/1.44 , T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.01/1.44 hAPP( 'c_Suc', T ) ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.01/1.44 ), Z ), hAPP( 'c_Suc', T ) ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.01/1.44 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.01/1.44 , =( Y, T ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.01/1.44 ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.01/1.44 ), T ), Y ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.01/1.44 Z ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.01/1.44 ), T ), Y ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.01/1.44 Z ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.01/1.44 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.01/1.44 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) )
% 1.01/1.44 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.44 X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.01/1.44 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.01/1.44 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), T, hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), U ), Z ), X ), ~(
% 1.01/1.44 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_OZfun'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), U, Y, X ),
% 1.01/1.44 ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, Y, X ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ) ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.01/1.44 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.01/1.44 ), X, Y ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( X, Y, X ), Z ), hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ), T ) ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 hAPP( Z, T ), X, Y ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( Y, X, Y ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ) ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.01/1.44 X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.01/1.44 , X ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( Y, X, Y ), Z ), hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( Y ), T ) ), 'c_HOL_Ozero__class_Ozero'( Y ),
% 1.01/1.44 U, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.01/1.44 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 1.01/1.44 ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.01/1.44 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 1.01/1.44 , Z ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.44 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ) ), Y ) ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.44 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ) ), Y ) ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 1.01/1.44 , Z ), X ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 1.01/1.44 , Z ), X ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.44 ) ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.01/1.44 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.01/1.44 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.01/1.44 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.01/1.44 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), X ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Y ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z )
% 1.01/1.44 , X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.01/1.44 Z ), Y ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.44 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.44 X ) ), Y ) ), Z ), X ), ~( 'c_Series_Osummable'( Z, X ) ), ~(
% 1.01/1.44 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) )
% 1.01/1.44 , Z ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U
% 1.01/1.44 , V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.01/1.44 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), X ), ~(
% 1.01/1.44 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.01/1.44 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), X ), ~(
% 1.01/1.44 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OZseq'( hAPP(
% 1.01/1.44 hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X
% 1.01/1.44 , X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), X
% 1.01/1.44 ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ), hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.44 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ) ),
% 1.01/1.44 ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ),
% 1.01/1.44 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ) ), ~(
% 1.01/1.44 'c_Series_Osummable'( Z, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.01/1.44 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.01/1.44 , 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBC'( Y, 'tc_nat', X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z
% 1.01/1.44 , U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.01/1.44 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T,
% 1.01/1.44 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ), hAPP(
% 1.01/1.44 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_lessequals'( U, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Z, 'tc_nat' ), U ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.44 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z
% 1.01/1.44 ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), U ), W ), V0, Y,
% 1.01/1.44 X ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'(
% 1.01/1.44 Z, U, V0, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ) ), Z
% 1.01/1.44 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.01/1.44 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ) ), Z
% 1.01/1.44 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.01/1.44 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( 'c_Suc', Z ), hAPP(
% 1.01/1.44 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat'
% 1.01/1.44 , X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ) ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.01/1.44 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBC'(
% 1.01/1.44 'tc_nat', 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X
% 1.01/1.44 ), 'tc_nat' ), 'c_Power_Opower__class_Opower'( X ) ), Y ) ), Z ), hAPP(
% 1.01/1.44 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~(
% 1.01/1.44 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.01/1.44 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y
% 1.01/1.44 ) ), Z ), T, X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.01/1.44 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.01/1.44 [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'( hAPP(
% 1.01/1.44 'c_Suc', 'v_n' ), 'tc_nat' ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.01/1.44 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBC'( X, 'tc_nat', X ), hAPP(
% 1.01/1.44 hAPP( 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X ), X ),
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ) ), Y ) ), Z ), T, X ), ~(
% 1.01/1.44 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( X, 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( 'tc_nat', X ), X ), 'c_Power_Opower__class_Opower'( X ) ), Y )
% 1.01/1.44 ), Z ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( Y, T ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ), X ), ~(
% 1.01/1.44 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T
% 1.01/1.44 ), 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.01/1.44 hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ), U ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_lessequals'( hAPP( Y,
% 1.01/1.44 'c_Transcendental_Osko__Transcendental__Xreal__setsum__nat__ivl__bounded2__1__1'(
% 1.01/1.44 U, Y, Z, X ) ), X ), U ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ),
% 1.01/1.44 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.01/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.44 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), T ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z
% 1.01/1.44 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), Y ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Z ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.44 X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.01/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ), Y ), T ), X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.01/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.44 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), T ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.01/1.44 X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.01/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.44 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.01/1.44 ), Y ), T ), X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), Y ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.01/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.44 ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.44 ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.01/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.01/1.44 X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.01/1.44 X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.01/1.44 , T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.01/1.44 ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z
% 1.01/1.44 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.01/1.44 ), X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.44 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.01/1.44 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.44 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.01/1.44 ), Y ), hAPP( 'c_Suc', Z ) ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.44 ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.01/1.44 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.01/1.44 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ) ), Z ) ), T ), U,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_Lim_OLIM'( Z, U,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( Y, X, Y ), Z ), hAPP( hAPP( 'c_COMBC'( Y, Y, Y ),
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( Y ) ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~( 'c_Lim_OLIM'(
% 1.01/1.44 Z, U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.01/1.44 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ), X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ), Y ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.01/1.44 ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Z ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.01/1.44 ) ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 1.01/1.44 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.01/1.44 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ),
% 1.01/1.44 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), T ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.01/1.44 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ),
% 1.01/1.44 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ) ), T ) ), Y ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.01/1.44 ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'(
% 1.01/1.44 X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), U )
% 1.01/1.44 , T, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), T ), U,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, T, Y, X )
% 1.01/1.44 ) ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.01/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.01/1.44 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.01/1.44 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) )
% 1.01/1.44 , Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~(
% 1.01/1.44 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) )
% 1.01/1.44 , Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~(
% 1.01/1.44 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.01/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBC'( 'tc_nat',
% 1.01/1.44 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ) ), hAPP( hAPP( 'c_COMBS'( 'tc_nat', X,
% 1.01/1.44 X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X,
% 1.01/1.44 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ), hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ) ) ) ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.01/1.44 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ) ), hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ) ), hAPP( hAPP(
% 1.01/1.44 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ),
% 1.01/1.44 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), hAPP( hAPP( 'c_COMBB'(
% 1.01/1.44 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.01/1.44 X ), Y ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ) ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), T, 'tc_nat' ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), T, hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ) ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( Z, T ) ), hAPP( 'c_Suc', hAPP(
% 1.01/1.44 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ), X ), =( hAPP( Z
% 1.01/1.44 , T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X
% 1.01/1.44 ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.01/1.44 'tc_Complex_Ocomplex' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.01/1.44 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.01/1.44 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), Y ) ) ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), X, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_Complex_Ocomplex' ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.44 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ) ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), Z, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.44 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.44 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.01/1.44 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.44 ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'( Y
% 1.01/1.44 , Z, T, X ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP(
% 1.01/1.44 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP( hAPP( 'c_COMBC'( X, X, X )
% 1.01/1.44 , hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), hAPP( Y, Z ) ) ) ), hAPP(
% 1.01/1.44 hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), Z
% 1.01/1.44 , T, X, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'( hAPP(
% 1.01/1.44 hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X
% 1.01/1.44 ), 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP( hAPP( 'c_COMBC'( X, X,
% 1.01/1.44 X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), hAPP( Y, Z ) ) ) ), hAPP(
% 1.01/1.44 hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), Z
% 1.01/1.44 , T, X, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), T, hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), W ) ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Z, T ) ), hAPP( Z, T ) ) ), X )
% 1.01/1.44 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'(
% 1.01/1.44 Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.44 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z, 'tc_bool' ),
% 1.01/1.44 X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'( Z,
% 1.01/1.44 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), hAPP( 'c_COMBC'(
% 1.01/1.44 Z, Y, X ), T ) ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), W )
% 1.01/1.44 , U ), V0, Y, X ), ~( 'c_Limits_Otendsto'( hAPP( T,
% 1.01/1.44 'c_Limits_Osko__Limits__Xtendsto__setsum__1__1'( U, W, T, V0, Z, X, Y ) )
% 1.01/1.44 , hAPP( W, 'c_Limits_Osko__Limits__Xtendsto__setsum__1__1'( U, W, T, V0,
% 1.01/1.44 Z, X, Y ) ), V0, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.01/1.44 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( hAPP( 'c_COMBC'(
% 1.01/1.44 'tc_nat', 'tc_nat', 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.01/1.44 ), Z ) ), T, X ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ), ~(
% 1.01/1.44 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.01/1.44 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.01/1.44 Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.01/1.44 'tc_Complex_Ocomplex' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.01/1.44 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.01/1.44 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.44 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.01/1.44 ) ), 'c_FFT__Mirabelle_Oroot'( X ) ) ), Y ) ) ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), X, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_Complex_Ocomplex' ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.44 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.44 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ) )
% 1.01/1.44 , ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.01/1.44 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), X ) ), ~(
% 1.01/1.44 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.01/1.44 'c_Transcendental_Odiffs'( Y, 'v_n', X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.01/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), hAPP( 'c_Suc', 'v_n' ) ) ),
% 1.01/1.44 hAPP( Y, hAPP( 'c_Suc', 'v_n' ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 1.01/1.44 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ), hAPP(
% 1.01/1.44 Y, T ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) )
% 1.01/1.44 ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.01/1.44 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat'
% 1.01/1.44 ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.01/1.44 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBS'(
% 1.01/1.44 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.01/1.44 , 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), Z ), X ) ), ~(
% 1.01/1.44 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.01/1.44 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ) ), Y ) ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.01/1.44 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ) ), Y ) ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.01/1.44 , Z, X ), ~( 'c_SEQ_OZseq'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 1.01/1.44 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), Z ), X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) )
% 1.01/1.44 , Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.44 'c_Limits_Otendsto'( Y, Z, T, U, X ), ~( 'c_Limits_OZfun'( hAPP( hAPP(
% 1.01/1.44 'c_COMBC'( U, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), U ),
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), Z ), T, U, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), T ), U, Y, X ), ~(
% 1.01/1.44 'c_Limits_Otendsto'( Z, T, U, Y, X ) ) ],
% 1.01/1.44 [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ),
% 1.01/1.44 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y )
% 1.01/1.44 ), 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.44 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T
% 1.01/1.44 ), 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.01/1.44 hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ), U ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_Transcendental_Osko__Transcendental__Xreal__setsum__nat__ivl__bounded2__1__1'(
% 1.01/1.44 U, Y, Z, X ), 'tc_nat' ), Z ) ) ],
% 1.01/1.44 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), hAPP( 'c_Suc',
% 1.01/1.44 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.44 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ =( X, hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.44 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.01/1.44 , X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), X ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, hAPP( 'c_Suc', T ),
% 1.01/1.44 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', T ), 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 Y, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X )
% 1.01/1.44 , hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ) ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), T ) ),
% 1.01/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), Y ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.01/1.44 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.01/1.44 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.01/1.44 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.01/1.44 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.01/1.44 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 1.01/1.44 , U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~(
% 1.01/1.44 'c_Lim_OLIM'( T, U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.44 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), W, Y, X ), ~(
% 1.01/1.44 'c_Limits_Otendsto'( T, U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.44 ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.44 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.01/1.44 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y
% 1.01/1.44 ), Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.01/1.44 T, X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.01/1.44 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.01/1.44 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Z ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Z ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.01/1.44 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X
% 1.01/1.44 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'( hAPP(
% 1.01/1.44 hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ),
% 1.01/1.44 Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.01/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.01/1.44 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.01/1.44 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.01/1.44 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.01/1.44 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.01/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), X ) ) ), =( Y, Z ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.01/1.44 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) )
% 1.01/1.44 ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat'
% 1.01/1.44 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ) ) ) )
% 1.01/1.44 ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.01/1.44 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.44 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_i', 'tc_nat' ), 'v_n' ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.01/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.01/1.44 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.01/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 1.01/1.44 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.01/1.44 X ), Y ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.01/1.44 'c_Power_Opower__class_Opower'( X ), T ) ), hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ) ) ) ),
% 1.01/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 1.01/1.44 , U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 1.01/1.44 , U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.44 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) )
% 1.01/1.44 , Z ) ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), T ), W
% 1.01/1.44 , Y, X ), ~( 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z,
% 1.01/1.44 U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.01/1.44 , T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.01/1.44 , T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), T ), X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.44 , X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP(
% 1.01/1.44 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , T ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.01/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , T ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.01/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.01/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), T ), X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), T ), X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , T ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.44 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.01/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , T ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.44 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.44 ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), T ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.44 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~(
% 1.01/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.44 X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.44 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.44 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T
% 1.01/1.44 , U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.01/1.44 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) )
% 1.01/1.44 , Z ) ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), V0
% 1.01/1.44 , Y, X ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~(
% 1.01/1.44 'c_Limits_Otendsto'( Z, U, V0, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.01/1.44 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Otimes__class_Otimes'( X ) )
% 1.01/1.44 , Y ) ), Z ), T, X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.01/1.44 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.01/1.44 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.44 ) ), Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.01/1.44 ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.01/1.44 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), U ), T ), W, Y, X ), ~(
% 1.01/1.44 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 1.01/1.44 'c_HOL_Oinverse__class_Odivide'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'(
% 1.01/1.44 Z, U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.01/1.44 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.44 X ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.01/1.44 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.01/1.44 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 1.01/1.44 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 1.01/1.44 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 1.01/1.44 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.01/1.44 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.01/1.44 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.01/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y )
% 1.01/1.44 ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X )
% 1.01/1.44 , ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.01/1.44 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.01/1.44 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.01/1.44 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.44 ) ) ],
% 1.01/1.44 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.01/1.44 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) )
% 1.01/1.44 , Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), V0
% 1.01/1.44 , Y, X ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~(
% 1.01/1.44 'c_Limits_Otendsto'( Z, U, V0, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T
% 1.01/1.44 , U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.01/1.44 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) )
% 1.01/1.44 , Y ) ), Z ), T, X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.01/1.44 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.01/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.01/1.44 ) ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.01/1.44 , Z ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.01/1.44 ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.01/1.44 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T
% 1.01/1.44 , X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.01/1.44 'c_Deriv_Odifferentiable'( Y, hAPP( Z, T ), X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.01/1.44 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.01/1.44 'c_COMBB'( X, Y, Z ), T ), U ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'(
% 1.01/1.44 U, W, V0, Z, X ) ), ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.44 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ) ) ), =( Y, Z ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ) ) ), =( Y, Z ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.44 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.44 , Y ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 X ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.01/1.44 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.01/1.44 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.01/1.44 'c_Suc', Y ) ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.01/1.44 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.01/1.44 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.01/1.44 , Y ) ), =( hAPP( 'c_Suc', X ), Y ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ),
% 1.01/1.44 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.01/1.44 'c_Suc', X ) ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.44 'tc_nat' ), Z ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.44 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ) ) ) )
% 1.01/1.44 ],
% 1.01/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.01/1.44 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.01/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.01/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.01/1.44 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.01/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.01/1.44 ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y
% 1.01/1.44 ), 'c_Suc' ), Z, X ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.01/1.44 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ), Z, X ), ~(
% 1.01/1.44 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.01/1.44 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.01/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.01/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.01/1.44 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.01/1.44 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.01/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.01/1.44 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.01/1.44 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.01/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.01/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.01/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.01/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.01/1.44 , Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) )
% 1.01/1.44 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ]
% 1.01/1.44 ,
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.01/1.44 X ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.01/1.44 X ) ) ) ],
% 1.01/1.44 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.01/1.44 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.44 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.44 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.44 'tc_nat' ), X ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.01/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.44 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X
% 1.01/1.44 ) ) ) ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.01/1.44 Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) )
% 1.01/1.44 ) ],
% 1.01/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.06/1.44 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) )
% 1.06/1.44 ],
% 1.06/1.44 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.06/1.44 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.06/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.06/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL(
% 1.06/1.44 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.06/1.44 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), hAPP( 'c_Suc', X )
% 1.06/1.44 ) ) ) ],
% 1.06/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.06/1.44 Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.06/1.44 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.06/1.44 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.06/1.44 ) ],
% 1.06/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.06/1.44 'c_Suc', X ) ) ) ],
% 1.06/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.06/1.44 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.06/1.44 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.06/1.44 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.06/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ) ) ) ) ],
% 1.06/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.06/1.44 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.06/1.44 'tc_nat' ), X ), Y ) ) ],
% 1.06/1.44 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.06/1.44 hAPP( 'c_Suc', Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.06/1.44 'tc_nat' ), Y ) ) ],
% 1.06/1.44 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ),
% 1.06/1.44 hAPP( 'c_Suc', X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.06/1.44 'tc_nat' ), X ) ) ],
% 1.06/1.44 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.06/1.44 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP(
% 1.06/1.44 'c_Suc', Y ) ) ) ) ],
% 1.06/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ),
% 1.06/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.06/1.44 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.06/1.44 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.06/1.44 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X
% 1.06/1.44 ), Y ), X ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ) )
% 1.06/1.44 ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X
% 1.06/1.44 ), Y ), X ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ),
% 1.06/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.06/1.44 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL(
% 1.06/1.44 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.06/1.44 X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ),
% 1.06/1.44 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.06/1.44 'tc_nat' ), Y ) ) ) ],
% 1.06/1.44 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ),
% 1.06/1.44 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), hAPP(
% 1.06/1.44 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat'
% 1.06/1.44 , X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ) ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.06/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.06/1.44 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.06/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.06/1.44 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.06/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.06/1.44 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_Lim_OLIM'( Z, U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.06/1.44 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.06/1.44 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.06/1.44 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP(
% 1.06/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X )
% 1.06/1.44 ), Y ) ), Z ), T, X ), =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.06/1.44 ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.06/1.44 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 1.06/1.44 hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.06/1.44 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), U ), W ), V0, Y, X ), =( W,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X
% 1.06/1.44 ) ), ~( 'c_Limits_Otendsto'( Z, U, V0, Y, X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.06/1.44 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 1.06/1.44 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y )
% 1.06/1.44 ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X )
% 1.06/1.44 , =( U, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X )
% 1.06/1.44 ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.06/1.44 ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 1.06/1.44 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.06/1.44 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 1.06/1.44 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.06/1.44 X ), Y ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Z ) ), hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 1.06/1.44 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X,
% 1.06/1.44 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ), hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Z ) ) ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.06/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 1.06/1.44 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.06/1.44 X ), Y ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Z ) ), hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ) ) ) ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 1.06/1.44 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.06/1.44 X ), Y ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Z ) ), hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ) ) ) ],
% 1.06/1.44 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.06/1.44 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~( hBOOL(
% 1.06/1.44 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.06/1.44 'tc_nat' ), X ) ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.06/1.44 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP(
% 1.06/1.44 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 X ) ), Y ) ), hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), X ), hAPP( Y,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.06/1.44 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.06/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBC'( 'tc_nat',
% 1.06/1.44 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), T ) ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 1.06/1.44 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.06/1.44 'c_COMBS'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), hAPP(
% 1.06/1.44 hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.06/1.44 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ) ), hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ) ) ) ), Y ) ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 1.06/1.44 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.06/1.44 'c_COMBS'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), hAPP(
% 1.06/1.44 hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.06/1.44 'tc_Complex_Ocomplex' ) ), Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.06/1.44 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ) ), hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ) ) ) ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.06/1.44 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.06/1.44 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.06/1.44 ) ), U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.06/1.44 'c_COMBC'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.06/1.44 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.06/1.44 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ), W
% 1.06/1.44 ) ), U ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.06/1.44 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.06/1.44 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.06/1.44 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.06/1.44 ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.06/1.44 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ) ) ],
% 1.06/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.06/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.06/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ) ), hAPP(
% 1.06/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.06/1.44 ), Y ) ) ],
% 1.06/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.06/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.06/1.44 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.06/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.06/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.06/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.06/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.06/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.06/1.44 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.06/1.44 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.06/1.44 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), U ) ), T ) ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.06/1.44 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.06/1.44 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.06/1.44 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), U ) ), T ) ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.06/1.44 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP(
% 1.06/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.06/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.06/1.44 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.06/1.44 hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y
% 1.06/1.44 ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), U ) ), T ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.06/1.44 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.06/1.44 hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y
% 1.06/1.44 ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), U ) ), T ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.06/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ) ), Y ) ) ],
% 1.06/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.06/1.44 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.06/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.06/1.44 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.06/1.44 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.06/1.44 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.06/1.44 ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.06/1.44 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.06/1.44 ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.06/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.06/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.06/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.06/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.06/1.44 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.06/1.44 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( hAPP(
% 1.06/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Y ), hAPP(
% 1.06/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( X ), Z ) ) ), =( Y, Z ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.06/1.44 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.06/1.44 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y
% 1.06/1.44 , 'tc_fun'( U, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, X )
% 1.06/1.44 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'(
% 1.06/1.44 U, X ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) )
% 1.06/1.44 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ),
% 1.06/1.44 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X
% 1.06/1.44 , 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W
% 1.06/1.44 ) ) ), V0 ) ), T ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.06/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.06/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.06/1.44 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.06/1.44 ) ) ],
% 1.06/1.44 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.06/1.44 hAPP( U, W ) ) ) ],
% 1.06/1.44 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.06/1.44 T, W ), U ) ) ],
% 1.06/1.44 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.06/1.44 T, W ), hAPP( U, W ) ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), Z ) ) ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( X ), Y ), U ) ) ), Z ) ), =( Y,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.06/1.44 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.06/1.44 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.06/1.44 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.06/1.44 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.06/1.44 [ ~( =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.06/1.44 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_fun'(
% 1.06/1.44 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_COMBB'(
% 1.06/1.44 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.06/1.44 , 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.06/1.44 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ) ), hAPP( hAPP(
% 1.06/1.44 'c_COMBS'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat',
% 1.06/1.44 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.06/1.44 'tc_fun'( 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_fun'(
% 1.06/1.44 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 1.06/1.44 'tc_nat' ), 'c_COMBC'( 'tc_nat', 'tc_Complex_Ocomplex',
% 1.06/1.44 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.06/1.44 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_nat' ), hAPP(
% 1.06/1.44 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.06/1.44 'tc_Complex_Ocomplex' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_fun'(
% 1.06/1.44 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_nat',
% 1.06/1.44 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.06/1.44 'tc_fun'( 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_fun'(
% 1.06/1.44 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_nat',
% 1.06/1.44 'tc_Complex_Ocomplex' ) ), 'tc_nat' ), 'c_COMBS'( 'tc_nat',
% 1.06/1.44 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.06/1.44 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.06/1.44 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_nat' ), hAPP(
% 1.06/1.44 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 'tc_Complex_Ocomplex' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.06/1.44 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_nat' ), hAPP(
% 1.06/1.44 'c_COMBB'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP(
% 1.06/1.44 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.06/1.44 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 'tc_nat' ) ) ) ) ), 'v_a' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.06/1.44 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), hAPP(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ) ) ) ) ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), 'v_n', 'tc_nat' ) ) ),
% 1.06/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_nat' ), 'v_n', 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 'tc_Complex_Ocomplex' ), hAPP( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'v_n' ) ), hAPP( 'v_a', 'v_i' ) ) ) ) ],
% 1.06/1.44 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.06/1.44 'class_Orderings_Opreorder'( Y ) ) ],
% 1.06/1.44 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.06/1.44 'class_Orderings_Oorder'( Y ) ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.06/1.44 ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.06/1.44 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.06/1.44 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.06/1.44 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.06/1.44 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.06/1.44 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.45 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.45 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.45 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.45 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.45 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.45 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.45 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.45 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.45 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.45 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.06/1.45 T, W ), hAPP( U, W ) ) ) ],
% 1.06/1.45 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.06/1.45 T, W ), U ) ) ],
% 1.06/1.45 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.06/1.45 hAPP( U, W ) ) ) ],
% 1.06/1.45 [ 'c_fequal'( X, X, Y ) ],
% 1.06/1.45 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.06/1.45 ] .
% 1.06/1.45
% 1.06/1.45
% 1.06/1.45 percentage equality = 0.167389, percentage horn = 0.844444
% 1.06/1.45 This is a problem with some equality
% 1.06/1.45
% 1.06/1.45
% 1.06/1.45
% 1.06/1.45 Options Used:
% 1.06/1.45
% 1.06/1.45 useres = 1
% 1.06/1.45 useparamod = 1
% 1.06/1.45 useeqrefl = 1
% 1.06/1.45 useeqfact = 1
% 1.06/1.45 usefactor = 1
% 1.06/1.45 usesimpsplitting = 0
% 1.06/1.45 usesimpdemod = 5
% 1.06/1.45 usesimpres = 3
% 1.06/1.45
% 1.06/1.45 resimpinuse = 1000
% 1.06/1.45 resimpclauses = 20000
% 1.06/1.45 substype = eqrewr
% 1.06/1.45 backwardsubs = 1
% 1.06/1.45 selectoldest = 5
% 1.06/1.45
% 1.06/1.45 litorderings [0] = split
% 1.06/1.45 litorderings [1] = extend the termordering, first sorting on arguments
% 1.06/1.45
% 1.06/1.45 termordering = kbo
% 1.06/1.45
% 1.06/1.45 litapriori = 0
% 1.06/1.45 termapriori = 1
% 1.06/1.45 litaposteriori = 0
% 1.06/1.45 termaposteriori = 0
% 1.06/1.45 demodaposteriori = 0
% 1.06/1.45 ordereqreflfact = 0
% 1.06/1.45
% 1.06/1.45 litselect = negord
% 1.06/1.45
% 1.06/1.45 maxweight = 15
% 1.06/1.45 maxdepth = 30000
% 1.06/1.45 maxlength = 115
% 1.06/1.45 maxnrvars = 195
% 1.06/1.45 excuselevel = 1
% 1.06/1.45 increasemaxweight = 1
% 1.06/1.45
% 1.06/1.45 maxselected = 10000000
% 1.06/1.45 maxnrclauses = 10000000
% 1.06/1.45
% 1.06/1.45 showgenerated = 0
% 1.06/1.45 showkept = 0
% 1.06/1.45 showselected = 0
% 1.06/1.45 showdeleted = 0
% 1.06/1.45 showresimp = 1
% 1.06/1.45 showstatus = 2000
% 1.06/1.45
% 1.06/1.45 prologoutput = 1
% 1.06/1.45 nrgoals = 5000000
% 1.06/1.45 totalproof = 1
% 1.06/1.45
% 1.06/1.45 Symbols occurring in the translation:
% 1.06/1.45
% 1.06/1.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.06/1.45 . [1, 2] (w:1, o:146, a:1, s:1, b:0),
% 1.06/1.45 ! [4, 1] (w:0, o:72, a:1, s:1, b:0),
% 1.06/1.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.06/1.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.06/1.45 'class_Ring__and__Field_Oordered__semidom' [40, 1] (w:1, o:79, a:1
% 1.06/1.45 , s:1, b:0),
% 1.06/1.45 'tc_nat' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.06/1.45 'c_lessequals' [43, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.06/1.45 hAPP [45, 2] (w:1, o:172, a:1, s:1, b:0),
% 1.06/1.45 hBOOL [46, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.06/1.45 'c_Power_Opower__class_Opower' [47, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.06/1.45 'c_HOL_Oone__class_Oone' [49, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.06/1.45 'c_HOL_Oord__class_Oless' [50, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.06/1.45 'class_Divides_Osemiring__div' [51, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.06/1.45 'c_HOL_Oplus__class_Oplus' [52, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.06/1.45 'c_Divides_Odiv__class_Odiv' [54, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.06/1.45 'c_HOL_Ozero__class_Ozero' [55, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.06/1.45 'c_FFT__Mirabelle_Oroot' [56, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.06/1.45 'tc_Complex_Ocomplex' [57, 0] (w:1, o:19, a:1, s:1, b:0),
% 1.06/1.45 'c_Suc' [59, 0] (w:1, o:24, a:1, s:1, b:0),
% 1.06/1.45 'c_HOL_Ominus__class_Ominus' [61, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.06/1.45 'class_Ring__and__Field_Oordered__field' [63, 1] (w:1, o:88, a:1, s:1
% 1.06/1.45 , b:0),
% 1.06/1.45 'c_HOL_Oinverse__class_Odivide' [64, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.06/1.45 'class_Ring__and__Field_Ocomm__semiring__1' [65, 1] (w:1, o:92, a:1
% 1.06/1.45 , s:1, b:0),
% 1.06/1.45 'class_Ring__and__Field_Oidom' [69, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.06/1.45 'class_Int_Onumber__ring' [70, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.06/1.45 'class_Orderings_Oorder' [72, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.06/1.45 'class_Orderings_Olinorder' [73, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.06/1.45 'class_OrderedGroup_Opordered__ab__group__add' [74, 1] (w:1, o:98, a:
% 1.06/1.45 1, s:1, b:0),
% 1.06/1.45 'class_RealVector_Oreal__normed__field' [77, 1] (w:1, o:99, a:1, s:1
% 2.65/3.03 , b:0),
% 2.65/3.03 'c_Deriv_Odifferentiable' [79, 3] (w:1, o:184, a:1, s:1, b:0),
% 2.65/3.03 'c_Deriv_Oderiv' [81, 4] (w:1, o:192, a:1, s:1, b:0),
% 2.65/3.03 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [83, 1]
% 2.65/3.03 (w:1, o:100, a:1, s:1, b:0),
% 2.65/3.03 'class_OrderedGroup_Opordered__ab__semigroup__add' [84, 1] (w:1, o:
% 2.65/3.03 101, a:1, s:1, b:0),
% 2.65/3.03 'c_Fact_Ofact__class_Ofact' [85, 2] (w:1, o:174, a:1, s:1, b:0),
% 2.65/3.03 'class_OrderedGroup_Opordered__comm__monoid__add' [87, 1] (w:1, o:102
% 2.65/3.03 , a:1, s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Opordered__ring' [88, 1] (w:1, o:107, a:1, s:
% 2.65/3.03 1, b:0),
% 2.65/3.03 'c_HOL_Otimes__class_Otimes' [89, 1] (w:1, o:108, a:1, s:1, b:0),
% 2.65/3.03 'class_OrderedGroup_Ocomm__monoid__add' [91, 1] (w:1, o:109, a:1, s:1
% 2.65/3.03 , b:0),
% 2.65/3.03 'c_Nat_Osemiring__1__class_Oof__nat' [92, 1] (w:1, o:110, a:1, s:1
% 2.65/3.03 , b:0),
% 2.65/3.03 'class_OrderedGroup_Ogroup__add' [93, 1] (w:1, o:111, a:1, s:1, b:0)
% 2.65/3.03 ,
% 2.65/3.03 'class_OrderedGroup_Oab__group__add' [94, 1] (w:1, o:112, a:1, s:1
% 2.65/3.03 , b:0),
% 2.65/3.03 'class_OrderedGroup_Oab__semigroup__add' [95, 1] (w:1, o:113, a:1, s:
% 2.65/3.03 1, b:0),
% 2.65/3.03 'class_Orderings_Opreorder' [96, 1] (w:1, o:114, a:1, s:1, b:0),
% 2.65/3.03 'c_Finite__Set_Osetsum' [98, 2] (w:1, o:175, a:1, s:1, b:0),
% 2.65/3.03 'c_SetInterval_Oord__class_OatLeastAtMost' [99, 3] (w:1, o:185, a:1
% 2.65/3.03 , s:1, b:0),
% 2.65/3.03 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [100, 1]
% 2.65/3.03 (w:1, o:115, a:1, s:1, b:0),
% 2.65/3.03 'c_COMBC' [101, 3] (w:1, o:181, a:1, s:1, b:0),
% 2.65/3.03 'tc_fun' [102, 2] (w:1, o:176, a:1, s:1, b:0),
% 2.65/3.03 'c_COMBB' [103, 3] (w:1, o:180, a:1, s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Ozero__neq__one' [104, 1] (w:1, o:116, a:1
% 2.65/3.03 , s:1, b:0),
% 2.65/3.03 'class_OrderedGroup_Olordered__ab__group__add' [105, 1] (w:1, o:117
% 2.65/3.03 , a:1, s:1, b:0),
% 2.65/3.03 'class_OrderedGroup_Omonoid__add' [106, 1] (w:1, o:118, a:1, s:1, b:0
% 2.65/3.03 ),
% 2.65/3.03 'class_OrderedGroup_Ocancel__ab__semigroup__add' [107, 1] (w:1, o:119
% 2.65/3.03 , a:1, s:1, b:0),
% 2.65/3.03 'class_OrderedGroup_Ocancel__semigroup__add' [108, 1] (w:1, o:120, a:
% 2.65/3.03 1, s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Osemiring__1' [109, 1] (w:1, o:126, a:1, s:1
% 2.65/3.03 , b:0),
% 2.65/3.03 'class_RealVector_Oreal__normed__vector' [114, 1] (w:1, o:127, a:1
% 2.65/3.03 , s:1, b:0),
% 2.65/3.03 'c_Series_Osuminf' [116, 2] (w:1, o:177, a:1, s:1, b:0),
% 2.65/3.03 'c_COMBS' [118, 3] (w:1, o:182, a:1, s:1, b:0),
% 2.65/3.03 'c_Series_Osummable' [119, 2] (w:1, o:178, a:1, s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Oordered__idom' [120, 1] (w:1, o:103, a:1, s:
% 2.65/3.03 1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Oordered__ring__strict' [121, 1] (w:1, o:78
% 2.65/3.03 , a:1, s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Omult__mono1' [122, 1] (w:1, o:128, a:1, s:1
% 2.65/3.03 , b:0),
% 2.65/3.03 'class_Ring__and__Field_Omult__mono' [123, 1] (w:1, o:129, a:1, s:1
% 2.65/3.03 , b:0),
% 2.65/3.03 'class_Ring__and__Field_Opordered__cancel__semiring' [125, 1] (w:1
% 2.65/3.03 , o:130, a:1, s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Ocomm__semiring' [127, 1] (w:1, o:131, a:1
% 2.65/3.03 , s:1, b:0),
% 2.65/3.03 'class_RealVector_Oreal__normed__algebra' [128, 1] (w:1, o:132, a:1
% 2.65/3.03 , s:1, b:0),
% 2.65/3.03 'class_OrderedGroup_Omonoid__mult' [132, 1] (w:1, o:133, a:1, s:1, b:
% 2.65/3.03 0),
% 2.65/3.03 'class_OrderedGroup_Ocomm__monoid__mult' [133, 1] (w:1, o:134, a:1
% 2.65/3.03 , s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Osemiring' [134, 1] (w:1, o:135, a:1, s:1, b:
% 2.65/3.03 0),
% 2.65/3.03 'class_Ring__and__Field_Odivision__by__zero' [135, 1] (w:1, o:136, a:
% 2.65/3.03 1, s:1, b:0),
% 2.65/3.03 'c_Limits_OZfun' [139, 4] (w:1, o:193, a:1, s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Ofield' [140, 1] (w:1, o:137, a:1, s:1, b:0)
% 2.65/3.03 ,
% 2.65/3.03 'c_SEQ_OZseq' [141, 2] (w:1, o:179, a:1, s:1, b:0),
% 2.65/3.03 'c_SetInterval_Oord__class_OatLeastLessThan' [142, 3] (w:1, o:186, a:
% 2.65/3.03 1, s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Oordered__semiring__strict' [146, 1] (w:1, o:
% 2.65/3.03 104, a:1, s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Oordered__semiring' [147, 1] (w:1, o:105, a:1
% 2.65/3.03 , s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Opordered__semiring' [148, 1] (w:1, o:138, a:
% 2.65/3.03 1, s:1, b:0),
% 2.65/3.03 'class_Ring__and__Field_Oring' [149, 1] (w:1, o:121, a:1, s:1, b:0),
% 2.65/3.03
% 2.65/3.03 'class_Power_Opower' [150, 1] (w:1, o:141, a:1, s:1, b:0),
% 16.11/16.48 'class_Nat_Osemiring__char__0' [151, 1] (w:1, o:95, a:1, s:1, b:0),
% 16.11/16.48 'c_SEQ_OLIMSEQ' [153, 3] (w:1, o:187, a:1, s:1, b:0),
% 16.11/16.48 'class_Ring__and__Field_Osemiring__0' [154, 1] (w:1, o:125, a:1, s:1
% 16.11/16.48 , b:0),
% 16.11/16.48 'class_RealVector_Oreal__field' [155, 1] (w:1, o:142, a:1, s:1, b:0)
% 16.11/16.48 ,
% 16.11/16.48 'class_RealVector_Ometric__space' [157, 1] (w:1, o:143, a:1, s:1, b:0
% 16.11/16.48 ),
% 16.11/16.48 'c_Lim_OLIM' [158, 5] (w:1, o:195, a:1, s:1, b:0),
% 16.11/16.48 'class_Ring__and__Field_Oring__1' [162, 1] (w:1, o:122, a:1, s:1, b:0
% 16.11/16.48 ),
% 16.11/16.48 'c_Limits_Otendsto' [163, 5] (w:1, o:196, a:1, s:1, b:0),
% 16.11/16.48 'v_n' [164, 0] (w:1, o:57, a:1, s:1, b:0),
% 16.11/16.48
% 16.11/16.48 'c_Transcendental_Osko__Transcendental__Xreal__setsum__nat__ivl__bounded2__1__1'
% 16.11/16.48 [166, 4] (w:1, o:194, a:1, s:1, b:0),
% 16.11/16.48 'class_Ring__and__Field_Oordered__comm__semiring__strict' [167, 1]
% 16.11/16.48 (w:1, o:106, a:1, s:1, b:0),
% 16.11/16.48 'class_Ring__and__Field_Ocomm__ring' [168, 1] (w:1, o:90, a:1, s:1
% 16.11/16.48 , b:0),
% 16.11/16.48 'tc_bool' [170, 0] (w:1, o:59, a:1, s:1, b:0),
% 16.11/16.48 'c_Limits_Osko__Limits__Xtendsto__setsum__1__1' [172, 7] (w:1, o:197
% 16.11/16.48 , a:1, s:1, b:0),
% 16.11/16.48 'c_Transcendental_Odiffs' [173, 3] (w:1, o:188, a:1, s:1, b:0),
% 16.11/16.48 'v_i' [174, 0] (w:1, o:62, a:1, s:1, b:0),
% 16.11/16.48 'class_RealVector_Oreal__normed__algebra__1' [176, 1] (w:1, o:144, a:
% 16.11/16.48 1, s:1, b:0),
% 16.11/16.48 'class_Ring__and__Field_Ocomm__semiring__0' [178, 1] (w:1, o:91, a:1
% 16.11/16.48 , s:1, b:0),
% 16.11/16.48 'c_FFT__Mirabelle_ODFT' [179, 3] (w:1, o:189, a:1, s:1, b:0),
% 16.11/16.48 'c_FFT__Mirabelle_OIDFT' [180, 3] (w:1, o:190, a:1, s:1, b:0),
% 16.11/16.48 'class_Ring__and__Field_Oring__no__zero__divisors' [182, 1] (w:1, o:
% 16.11/16.48 123, a:1, s:1, b:0),
% 16.11/16.48 'class_Ring__and__Field_Omult__zero' [183, 1] (w:1, o:145, a:1, s:1
% 16.11/16.48 , b:0),
% 16.11/16.48 'class_OrderedGroup_Oab__semigroup__mult' [188, 1] (w:1, o:139, a:1
% 16.11/16.48 , s:1, b:0),
% 16.11/16.48 'class_OrderedGroup_Oab__semigroup__idem__mult' [189, 1] (w:1, o:140
% 16.11/16.48 , a:1, s:1, b:0),
% 16.11/16.48 'class_Ring__and__Field_Ono__zero__divisors' [190, 1] (w:1, o:77, a:1
% 16.11/16.48 , s:1, b:0),
% 16.11/16.48 'class_Ring__and__Field_Oring__1__no__zero__divisors' [191, 1] (w:1
% 16.11/16.48 , o:124, a:1, s:1, b:0),
% 16.11/16.48 'v_a' [194, 0] (w:1, o:69, a:1, s:1, b:0),
% 16.11/16.48 'c_fequal' [197, 3] (w:1, o:191, a:1, s:1, b:0).
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Starting Search:
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 3635
% 16.11/16.48 Kept: 2001
% 16.11/16.48 Inuse: 71
% 16.11/16.48 Deleted: 1
% 16.11/16.48 Deletedinuse: 0
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 7492
% 16.11/16.48 Kept: 4314
% 16.11/16.48 Inuse: 116
% 16.11/16.48 Deleted: 1
% 16.11/16.48 Deletedinuse: 0
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 14668
% 16.11/16.48 Kept: 6340
% 16.11/16.48 Inuse: 160
% 16.11/16.48 Deleted: 1
% 16.11/16.48 Deletedinuse: 0
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 19695
% 16.11/16.48 Kept: 8383
% 16.11/16.48 Inuse: 185
% 16.11/16.48 Deleted: 1
% 16.11/16.48 Deletedinuse: 0
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 26625
% 16.11/16.48 Kept: 10439
% 16.11/16.48 Inuse: 269
% 16.11/16.48 Deleted: 2
% 16.11/16.48 Deletedinuse: 0
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 36040
% 16.11/16.48 Kept: 12450
% 16.11/16.48 Inuse: 315
% 16.11/16.48 Deleted: 4
% 16.11/16.48 Deletedinuse: 0
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 43338
% 16.11/16.48 Kept: 14612
% 16.11/16.48 Inuse: 350
% 16.11/16.48 Deleted: 6
% 16.11/16.48 Deletedinuse: 0
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 51479
% 16.11/16.48 Kept: 16862
% 16.11/16.48 Inuse: 390
% 16.11/16.48 Deleted: 6
% 16.11/16.48 Deletedinuse: 0
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 62499
% 16.11/16.48 Kept: 19630
% 16.11/16.48 Inuse: 440
% 16.11/16.48 Deleted: 6
% 16.11/16.48 Deletedinuse: 0
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48 Resimplifying clauses:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 75621
% 16.11/16.48 Kept: 22334
% 16.11/16.48 Inuse: 455
% 16.11/16.48 Deleted: 233
% 16.11/16.48 Deletedinuse: 0
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 16.11/16.48
% 16.11/16.48
% 16.11/16.48 Intermediate Status:
% 16.11/16.48 Generated: 84698
% 16.11/16.48 Kept: 24420
% 16.11/16.48 Inuse: 480
% 16.11/16.48 Deleted: 234
% 16.11/16.48 Deletedinuse: 1
% 16.11/16.48
% 16.11/16.48 Resimplifying inuse:
% 16.11/16.48 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 92572
% 46.15/46.52 Kept: 26421
% 46.15/46.52 Inuse: 496
% 46.15/46.52 Deleted: 234
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 101937
% 46.15/46.52 Kept: 28985
% 46.15/46.52 Inuse: 517
% 46.15/46.52 Deleted: 234
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 112502
% 46.15/46.52 Kept: 31220
% 46.15/46.52 Inuse: 550
% 46.15/46.52 Deleted: 234
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 120903
% 46.15/46.52 Kept: 33251
% 46.15/46.52 Inuse: 585
% 46.15/46.52 Deleted: 234
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 130484
% 46.15/46.52 Kept: 35408
% 46.15/46.52 Inuse: 625
% 46.15/46.52 Deleted: 234
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 138132
% 46.15/46.52 Kept: 37476
% 46.15/46.52 Inuse: 655
% 46.15/46.52 Deleted: 234
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 148441
% 46.15/46.52 Kept: 39658
% 46.15/46.52 Inuse: 685
% 46.15/46.52 Deleted: 234
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying clauses:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 159708
% 46.15/46.52 Kept: 41910
% 46.15/46.52 Inuse: 725
% 46.15/46.52 Deleted: 601
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 167859
% 46.15/46.52 Kept: 44064
% 46.15/46.52 Inuse: 735
% 46.15/46.52 Deleted: 601
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 176692
% 46.15/46.52 Kept: 46174
% 46.15/46.52 Inuse: 765
% 46.15/46.52 Deleted: 601
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 185887
% 46.15/46.52 Kept: 48191
% 46.15/46.52 Inuse: 798
% 46.15/46.52 Deleted: 601
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 197502
% 46.15/46.52 Kept: 51442
% 46.15/46.52 Inuse: 810
% 46.15/46.52 Deleted: 601
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 206937
% 46.15/46.52 Kept: 53603
% 46.15/46.52 Inuse: 835
% 46.15/46.52 Deleted: 601
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 216397
% 46.15/46.52 Kept: 55810
% 46.15/46.52 Inuse: 855
% 46.15/46.52 Deleted: 601
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 243604
% 46.15/46.52 Kept: 59505
% 46.15/46.52 Inuse: 865
% 46.15/46.52 Deleted: 601
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying clauses:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 250800
% 46.15/46.52 Kept: 61509
% 46.15/46.52 Inuse: 872
% 46.15/46.52 Deleted: 837
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 259313
% 46.15/46.52 Kept: 63729
% 46.15/46.52 Inuse: 880
% 46.15/46.52 Deleted: 837
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 271943
% 46.15/46.52 Kept: 66057
% 46.15/46.52 Inuse: 905
% 46.15/46.52 Deleted: 837
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 280006
% 46.15/46.52 Kept: 68164
% 46.15/46.52 Inuse: 915
% 46.15/46.52 Deleted: 837
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 288434
% 46.15/46.52 Kept: 70823
% 46.15/46.52 Inuse: 925
% 46.15/46.52 Deleted: 837
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 295272
% 46.15/46.52 Kept: 72867
% 46.15/46.52 Inuse: 930
% 46.15/46.52 Deleted: 837
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 334747
% 46.15/46.52 Kept: 77810
% 46.15/46.52 Inuse: 935
% 46.15/46.52 Deleted: 837
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 341525
% 46.15/46.52 Kept: 79881
% 46.15/46.52 Inuse: 965
% 46.15/46.52 Deleted: 837
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying clauses:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 351035
% 46.15/46.52 Kept: 81994
% 46.15/46.52 Inuse: 1005
% 46.15/46.52 Deleted: 1049
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52 Resimplifying inuse:
% 46.15/46.52 Done
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 357201
% 46.15/46.52 Kept: 84146
% 46.15/46.52 Inuse: 1030
% 46.15/46.52 Deleted: 1049
% 46.15/46.52 Deletedinuse: 1
% 46.15/46.52
% 46.15/46.52
% 46.15/46.52 Intermediate Status:
% 46.15/46.52 Generated: 363894
% 116.09/116.54 Kept: 86149
% 116.09/116.54 Inuse: 1035
% 116.09/116.54 Deleted: 1049
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 372879
% 116.09/116.54 Kept: 88149
% 116.09/116.54 Inuse: 1073
% 116.09/116.54 Deleted: 1049
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 380384
% 116.09/116.54 Kept: 90581
% 116.09/116.54 Inuse: 1080
% 116.09/116.54 Deleted: 1049
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 386843
% 116.09/116.54 Kept: 92654
% 116.09/116.54 Inuse: 1085
% 116.09/116.54 Deleted: 1049
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 394054
% 116.09/116.54 Kept: 94858
% 116.09/116.54 Inuse: 1110
% 116.09/116.54 Deleted: 1049
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 402880
% 116.09/116.54 Kept: 97438
% 116.09/116.54 Inuse: 1125
% 116.09/116.54 Deleted: 1049
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 412943
% 116.09/116.54 Kept: 99601
% 116.09/116.54 Inuse: 1140
% 116.09/116.54 Deleted: 1049
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 419974
% 116.09/116.54 Kept: 101683
% 116.09/116.54 Inuse: 1155
% 116.09/116.54 Deleted: 1049
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying clauses:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 429644
% 116.09/116.54 Kept: 104490
% 116.09/116.54 Inuse: 1175
% 116.09/116.54 Deleted: 1336
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 434669
% 116.09/116.54 Kept: 106600
% 116.09/116.54 Inuse: 1190
% 116.09/116.54 Deleted: 1336
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 448150
% 116.09/116.54 Kept: 111197
% 116.09/116.54 Inuse: 1210
% 116.09/116.54 Deleted: 1336
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 456699
% 116.09/116.54 Kept: 113863
% 116.09/116.54 Inuse: 1215
% 116.09/116.54 Deleted: 1336
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 461227
% 116.09/116.54 Kept: 116044
% 116.09/116.54 Inuse: 1225
% 116.09/116.54 Deleted: 1336
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 465746
% 116.09/116.54 Kept: 118226
% 116.09/116.54 Inuse: 1235
% 116.09/116.54 Deleted: 1336
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 475499
% 116.09/116.54 Kept: 120913
% 116.09/116.54 Inuse: 1255
% 116.09/116.54 Deleted: 1336
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying clauses:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 481156
% 116.09/116.54 Kept: 123096
% 116.09/116.54 Inuse: 1275
% 116.09/116.54 Deleted: 1460
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 489538
% 116.09/116.54 Kept: 125111
% 116.09/116.54 Inuse: 1290
% 116.09/116.54 Deleted: 1460
% 116.09/116.54 Deletedinuse: 1
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 507739
% 116.09/116.54 Kept: 127681
% 116.09/116.54 Inuse: 1309
% 116.09/116.54 Deleted: 1464
% 116.09/116.54 Deletedinuse: 4
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 532677
% 116.09/116.54 Kept: 130142
% 116.09/116.54 Inuse: 1311
% 116.09/116.54 Deleted: 1467
% 116.09/116.54 Deletedinuse: 7
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 540004
% 116.09/116.54 Kept: 132758
% 116.09/116.54 Inuse: 1314
% 116.09/116.54 Deleted: 1781
% 116.09/116.54 Deletedinuse: 321
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 547826
% 116.09/116.54 Kept: 135445
% 116.09/116.54 Inuse: 1319
% 116.09/116.54 Deleted: 1781
% 116.09/116.54 Deletedinuse: 321
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 556935
% 116.09/116.54 Kept: 137998
% 116.09/116.54 Inuse: 1339
% 116.09/116.54 Deleted: 1781
% 116.09/116.54 Deletedinuse: 321
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 564459
% 116.09/116.54 Kept: 140475
% 116.09/116.54 Inuse: 1369
% 116.09/116.54 Deleted: 1781
% 116.09/116.54 Deletedinuse: 321
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 581364
% 116.09/116.54 Kept: 145125
% 116.09/116.54 Inuse: 1389
% 116.09/116.54 Deleted: 1781
% 116.09/116.54 Deletedinuse: 321
% 116.09/116.54
% 116.09/116.54 Resimplifying inuse:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54 Resimplifying clauses:
% 116.09/116.54 Done
% 116.09/116.54
% 116.09/116.54
% 116.09/116.54 Intermediate Status:
% 116.09/116.54 Generated: 589546
% 116.09/116.54 Kept: 148118
% 116.09/116.54 Inuse: 1394
% 116.09/116.54 Deleted: 8633
% 116.09/116.54 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 611334
% 212.65/213.08 Kept: 152737
% 212.65/213.08 Inuse: 1414
% 212.65/213.08 Deleted: 8633
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 618954
% 212.65/213.08 Kept: 154861
% 212.65/213.08 Inuse: 1434
% 212.65/213.08 Deleted: 8633
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 632186
% 212.65/213.08 Kept: 159136
% 212.65/213.08 Inuse: 1449
% 212.65/213.08 Deleted: 8633
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 640859
% 212.65/213.08 Kept: 161538
% 212.65/213.08 Inuse: 1464
% 212.65/213.08 Deleted: 8633
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 674448
% 212.65/213.08 Kept: 170280
% 212.65/213.08 Inuse: 1474
% 212.65/213.08 Deleted: 8633
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying clauses:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 683049
% 212.65/213.08 Kept: 172839
% 212.65/213.08 Inuse: 1489
% 212.65/213.08 Deleted: 8997
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 691828
% 212.65/213.08 Kept: 175154
% 212.65/213.08 Inuse: 1504
% 212.65/213.08 Deleted: 8997
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 702209
% 212.65/213.08 Kept: 177332
% 212.65/213.08 Inuse: 1534
% 212.65/213.08 Deleted: 8997
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 717790
% 212.65/213.08 Kept: 181334
% 212.65/213.08 Inuse: 1539
% 212.65/213.08 Deleted: 8997
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 726534
% 212.65/213.08 Kept: 183428
% 212.65/213.08 Inuse: 1559
% 212.65/213.08 Deleted: 8997
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 744528
% 212.65/213.08 Kept: 189115
% 212.65/213.08 Inuse: 1564
% 212.65/213.08 Deleted: 8997
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 756362
% 212.65/213.08 Kept: 192624
% 212.65/213.08 Inuse: 1569
% 212.65/213.08 Deleted: 8997
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying clauses:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 783131
% 212.65/213.08 Kept: 198773
% 212.65/213.08 Inuse: 1579
% 212.65/213.08 Deleted: 9312
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 792722
% 212.65/213.08 Kept: 201399
% 212.65/213.08 Inuse: 1604
% 212.65/213.08 Deleted: 9312
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 802510
% 212.65/213.08 Kept: 204144
% 212.65/213.08 Inuse: 1629
% 212.65/213.08 Deleted: 9312
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 810153
% 212.65/213.08 Kept: 206172
% 212.65/213.08 Inuse: 1644
% 212.65/213.08 Deleted: 9312
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 819300
% 212.65/213.08 Kept: 208260
% 212.65/213.08 Inuse: 1654
% 212.65/213.08 Deleted: 9312
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 826713
% 212.65/213.08 Kept: 210295
% 212.65/213.08 Inuse: 1664
% 212.65/213.08 Deleted: 9312
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 834169
% 212.65/213.08 Kept: 212360
% 212.65/213.08 Inuse: 1674
% 212.65/213.08 Deleted: 9312
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying clauses:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 839901
% 212.65/213.08 Kept: 214363
% 212.65/213.08 Inuse: 1691
% 212.65/213.08 Deleted: 9626
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 879422
% 212.65/213.08 Kept: 221322
% 212.65/213.08 Inuse: 1694
% 212.65/213.08 Deleted: 9626
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 891147
% 212.65/213.08 Kept: 225030
% 212.65/213.08 Inuse: 1699
% 212.65/213.08 Deleted: 9626
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 909097
% 212.65/213.08 Kept: 227622
% 212.65/213.08 Inuse: 1714
% 212.65/213.08 Deleted: 9626
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 916081
% 212.65/213.08 Kept: 229876
% 212.65/213.08 Inuse: 1734
% 212.65/213.08 Deleted: 9626
% 212.65/213.08 Deletedinuse: 321
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08 Resimplifying inuse:
% 212.65/213.08 Done
% 212.65/213.08
% 212.65/213.08
% 212.65/213.08 Intermediate Status:
% 212.65/213.08 Generated: 924858
% 212.65/213.08 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------