TSTP Solution File: SWV686-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV686-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 16:27:46 EDT 2022
% Result : Timeout 300.03s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV686-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 15 05:25:34 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.95/1.33 *** allocated 10000 integers for termspace/termends
% 0.95/1.33 *** allocated 10000 integers for clauses
% 0.95/1.33 *** allocated 10000 integers for justifications
% 0.95/1.33 *** allocated 15000 integers for termspace/termends
% 0.95/1.33 *** allocated 22500 integers for termspace/termends
% 0.95/1.33 Bliksem 1.12
% 0.95/1.33
% 0.95/1.33
% 0.95/1.33 Automatic Strategy Selection
% 0.95/1.33
% 0.95/1.33 Clauses:
% 0.95/1.33 [
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.95/1.33 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.33 , Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.95/1.33 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 0.95/1.33 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.95/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.33 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.95/1.33 ), Y ), 'c_Suc'( Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), hAPP( Y, T ) ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , W ), hAPP( Z, T ) ) ), X ), ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ), ~(
% 0.95/1.33 'c_Deriv_Oderiv'( Y, T, W, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , W ), hAPP( Y, T ) ) ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 0.95/1.33 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 0.95/1.33 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.95/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.95/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 0.95/1.33 X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), T, hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), U ), Z ), X ), ~(
% 0.95/1.33 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.95/1.33 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 0.95/1.33 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.95/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.95/1.33 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 0.95/1.33 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z
% 0.95/1.33 , T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.95/1.33 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.95/1.33 ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T
% 0.95/1.33 , W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.95/1.33 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 Y, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.95/1.33 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.33 Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.95/1.33 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.95/1.33 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.33 , X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.33 X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.95/1.33 ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.95/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.95/1.33 , X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.95/1.33 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.95/1.33 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 0.95/1.33 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 0.95/1.33 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.33 ), Y ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 0.95/1.33 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, Y, X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.95/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.95/1.33 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.95/1.33 'c_Deriv_Odifferentiable'( 'c_COMBI'( X ), Y, X ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( Y, Z ), ~(
% 0.95/1.33 'c_Deriv_Oderiv'( T, U, Z, X ) ), ~( 'c_Deriv_Oderiv'( T, U, Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.95/1.33 'c_Deriv_Odifferentiable'( Y, Z, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) )
% 0.95/1.33 ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.95/1.33 'c_Deriv_Odifferentiable'( Y, Z, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) )
% 0.95/1.33 ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 'c_COMBI'( X ), Y, 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_Lim_OLIM'( 'c_COMBI'(
% 0.95/1.33 X ), Y, Y, X, X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.33 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z
% 0.95/1.33 , T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Y
% 0.95/1.33 , hAPP( Z, T ), U, X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( X, X, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ) ), Z ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U )
% 0.95/1.33 , X ), ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.95/1.33 Y ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.33 ) ), Z ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 0.95/1.33 , T ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 0.95/1.33 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 0.95/1.33 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 0.95/1.33 X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.95/1.33 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.95/1.33 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.95/1.33 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.95/1.33 ) ), Z ) ) ],
% 0.95/1.33 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.95/1.33 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'( Y
% 0.95/1.33 , Z, T, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), hAPP( hAPP( 'c_COMBB'( X, X, X ), Y
% 0.95/1.33 ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ) ) ) ), hAPP( Y, Z ) ) ),
% 0.95/1.33 'c_COMBI'( X ), X, X, X ), 'c_HOL_Ozero__class_Ozero'( X ), T, X, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP( hAPP( 'c_COMBC'( X, X, X )
% 0.95/1.33 , hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), hAPP( hAPP( 'c_COMBB'( X, X, X ), Y
% 0.95/1.33 ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ) ) ) ), hAPP( Y, Z ) ) ),
% 0.95/1.33 'c_COMBI'( X ), X, X, X ), 'c_HOL_Ozero__class_Ozero'( X ), T, X, X ),
% 0.95/1.33 ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 0.95/1.33 Y, Z, X ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat'
% 0.95/1.33 , 'tc_bool' ), X, 'tc_nat' ), hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X
% 0.95/1.33 ), Y ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ), Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), X, 'tc_nat' ),
% 0.95/1.33 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ) ),
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ), 'tc_nat' ) ), Z, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), W ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Z, T ) ), hAPP( Z, T ) ) ), X )
% 0.95/1.33 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'(
% 0.95/1.33 Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'( Y
% 0.95/1.33 , Z, T, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), hAPP( Y, Z ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( X, X, X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), X, X, X )
% 0.95/1.33 , Z, T, X, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP( hAPP( 'c_COMBC'( X, X, X )
% 0.95/1.33 , hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), hAPP( Y, Z ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( X, X, X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), X, X, X )
% 0.95/1.33 , Z, T, X, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP(
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ), 'tc_nat' ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 0.95/1.33 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 0.95/1.33 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.33 ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 0.95/1.33 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), T ), Y
% 0.95/1.33 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 0.95/1.33 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), T
% 0.95/1.33 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 0.95/1.33 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ) ), Y ) ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 0.95/1.33 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ) ), Y ) ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 0.95/1.33 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), X ) ), ~(
% 0.95/1.33 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.33 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ) )
% 0.95/1.33 , ~( 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ), hAPP(
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), 'c_Suc'( T )
% 0.95/1.33 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( T
% 0.95/1.33 , Z, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 0.95/1.33 ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.95/1.33 ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.33 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 0.95/1.33 'tc_Complex_Ocomplex' ), hAPP( 'c_Power_Opower__class_Opower'(
% 0.95/1.33 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 0.95/1.33 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.95/1.33 ) ), 'c_FFT__Mirabelle_Oroot'( X ) ) ), Y ) ) ), hAPP(
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ), 'tc_nat' ), X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_Complex_Ocomplex' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.95/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.95/1.33 , Y, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.33 'class_HOL_Oinverse'( X ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X )
% 0.95/1.33 ), hAPP( hAPP( 'c_COMBC'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 0.95/1.33 X, X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), hAPP( Y, Z ) ) )
% 0.95/1.33 , hAPP( hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Ominus__class_Ominus'( X ) ),
% 0.95/1.33 Z ), X, X, X ), Z, T, X, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X )
% 0.95/1.33 ), hAPP( hAPP( 'c_COMBC'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 0.95/1.33 X, X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) ), hAPP( hAPP( 'c_COMBB'(
% 0.95/1.33 X, X, X ), Y ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ) ) ) ), hAPP( Y
% 0.95/1.33 , Z ) ) ), 'c_COMBI'( X ), X, X, X ), 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.95/1.33 , X, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.33 'class_HOL_Oinverse'( X ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X )
% 0.95/1.33 ), hAPP( hAPP( 'c_COMBC'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 0.95/1.33 X, X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) ), hAPP( hAPP( 'c_COMBB'(
% 0.95/1.33 X, X, X ), Y ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ) ) ) ), hAPP( Y
% 0.95/1.33 , Z ) ) ), 'c_COMBI'( X ), X, X, X ), 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.95/1.33 , X, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 0.95/1.33 X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( X, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), hAPP( Y, Z ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( X, X, X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), X, X, X )
% 0.95/1.33 , Z, T, X, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), hAPP( Z, T ) ), 'c_Suc'( 'c_Suc'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ), X ), =( hAPP( Z, T ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ),
% 0.95/1.33 ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), X, 'tc_nat' ),
% 0.95/1.33 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ) ),
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ), 'tc_nat' ) ), 'c_Series_Osuminf'( Y, X ), X ), ~(
% 0.95/1.33 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.95/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.33 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.95/1.33 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 0.95/1.33 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 0.95/1.33 ) ), Z ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.33 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 0.95/1.33 ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'(
% 0.95/1.33 X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), U )
% 0.95/1.33 , T, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), T ), U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, T, Y, X )
% 0.95/1.33 ) ],
% 0.95/1.33 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_Complex_Ocomplex' ) ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) )
% 0.95/1.33 , Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~(
% 0.95/1.33 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ) ), Z
% 0.95/1.33 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.95/1.33 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 0.95/1.33 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z
% 0.95/1.33 , U, X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 0.95/1.33 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.95/1.33 'c_Series_Osummable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 0.95/1.33 ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X
% 0.95/1.33 , X ), X ), ~( 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y
% 0.95/1.33 , X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, U
% 0.95/1.33 , X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.95/1.33 'c_Series_Osummable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 0.95/1.33 ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X
% 0.95/1.33 ), X ), ~( 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y, X
% 0.95/1.33 ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 0.95/1.33 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z, U
% 0.95/1.33 , X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 0.95/1.33 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.95/1.33 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.95/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.33 ), 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.33 ), 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.33 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.33 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.95/1.33 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 0.95/1.33 ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), T, Y, X, X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), U ), W ), V0, Y, X ), ~(
% 0.95/1.33 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z, U, V0
% 0.95/1.33 , Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.95/1.33 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 0.95/1.33 ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), T, Y, X, X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), V0, Y, X ), ~(
% 0.95/1.33 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z, U, V0
% 0.95/1.33 , Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 0.95/1.33 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.33 X ) ), Z ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 0.95/1.33 ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~(
% 0.95/1.33 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 0.95/1.33 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 0.95/1.33 ) ), Z ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.95/1.33 W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'(
% 0.95/1.33 Z, U, W, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.95/1.33 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 0.95/1.33 X, X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, X, X, X ), T, X
% 0.95/1.33 ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 0.95/1.33 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.95/1.33 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 0.95/1.33 X, X ), X ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, X, X, X ), T, X )
% 0.95/1.33 , ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'(
% 0.95/1.33 Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ),
% 0.95/1.33 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ) ), ~(
% 0.95/1.33 'c_Series_Osummable'( Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.33 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ) ),
% 0.95/1.33 ~( 'c_Series_Osummable'( Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 0.95/1.33 ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.33 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.95/1.33 ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.33 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.95/1.33 ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.95/1.33 ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.95/1.33 ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.95/1.33 ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.95/1.33 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.33 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.33 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.33 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.95/1.33 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.33 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.95/1.33 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.95/1.33 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T
% 0.95/1.33 , X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 0.95/1.33 'c_Deriv_Odifferentiable'( Y, hAPP( Z, T ), X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, Y, Z ), T ), U ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'(
% 0.95/1.33 U, W, V0, Z, X ) ), ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 0.95/1.33 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 0.95/1.33 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.33 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 0.95/1.33 ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 0.95/1.33 , X ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( Y, X, Y ), Z ), hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( Y ), T ) ), 'c_HOL_Ozero__class_Ozero'( Y ),
% 0.95/1.33 U, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( Y, X, Y ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ) ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 0.95/1.33 X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 0.95/1.33 ), X, Y ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( X, Y, X ), Z ), hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), T ) ), 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.33 hAPP( Z, T ), X, Y ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, Y, X ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ) ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 0.95/1.33 , T, hAPP( Z, T ), X, Y ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.33 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.33 Y ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.33 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 X ) ) ), =( Y, Z ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 X ) ) ), =( Y, Z ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.33 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.95/1.33 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.33 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.33 , Y ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.33 ) ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), Z ), Y ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.95/1.33 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.95/1.33 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.33 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.33 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.33 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 0.95/1.33 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.95/1.33 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.95/1.33 ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.95/1.33 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 0.95/1.33 , U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~(
% 0.95/1.33 'c_Lim_OLIM'( T, U, W, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.95/1.33 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), W, Y, X ), ~(
% 0.95/1.33 'c_Limits_Otendsto'( T, U, W, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.95/1.33 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.33 'c_Suc'( Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.95/1.33 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y
% 0.95/1.33 ), Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_Series_Osums'( Z
% 0.95/1.33 , T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_Series_Osums'( Z
% 0.95/1.33 , T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.95/1.33 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~(
% 0.95/1.33 'c_Series_Osummable'( Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.95/1.33 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~(
% 0.95/1.33 'c_Series_Osummable'( Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OZseq'( Z,
% 0.95/1.33 X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OZseq'( Z,
% 0.95/1.33 X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 0.95/1.33 T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OCauchy'( Z
% 0.95/1.33 , X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 0.95/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 0.95/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.95/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 X ), T ), Z ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), T ), Z ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 0.95/1.33 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'( hAPP(
% 0.95/1.33 hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ),
% 0.95/1.33 Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( 'v_i', 'v_n', 'tc_nat' ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 0.95/1.33 , U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 0.95/1.33 , U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.95/1.33 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) )
% 0.95/1.33 , Z ) ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), T ), W
% 0.95/1.33 , Y, X ), ~( 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z,
% 0.95/1.33 U, W, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 0.95/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 0.95/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.95/1.33 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.33 ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.95/1.33 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 0.95/1.33 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), T ), Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), T ), Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.95/1.33 ), T ), Z ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.95/1.33 ), T ), Z ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.33 ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.33 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.95/1.33 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.95/1.33 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.95/1.33 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 0.95/1.33 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ) ), Z ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.95/1.33 ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~(
% 0.95/1.33 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.95/1.33 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 0.95/1.33 ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), T, Y, X, X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), V0, Y, X ), ~(
% 0.95/1.33 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z, U, V0
% 0.95/1.33 , Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.95/1.33 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 0.95/1.33 X, X ), X ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, X, X, X ), T, X
% 0.95/1.33 ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 0.95/1.33 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ) ), X ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 0.95/1.33 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 0.95/1.33 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), U ), T ), W, Y, X ), ~(
% 0.95/1.33 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'(
% 0.95/1.33 Z, U, W, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), T ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), T ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 0.95/1.33 , Z, X ), ~( 'c_SEQ_OZseq'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP(
% 0.95/1.33 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), Z ), X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) )
% 0.95/1.33 , Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.33 X ), Y ), Z ) ), Z ), Y ) ],
% 0.95/1.33 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OCauchy'( Y, X ),
% 0.95/1.33 ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), T ), Z ) ), U ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.33 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.33 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.33 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.33 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( Y, X, Y ), Z ), hAPP( hAPP( 'c_COMBC'( Y, Y, Y ),
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( Y ) ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~( 'c_Lim_OLIM'(
% 0.95/1.33 Z, U, W, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.33 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.95/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.95/1.33 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 0.95/1.33 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 0.95/1.33 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.33 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.33 ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.33 ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.33 ), =( Z, Y ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 0.95/1.33 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X
% 0.95/1.33 ) ), Y ), Z, 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) )
% 0.95/1.33 , ~( 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.33 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 0.95/1.33 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.33 X ) ), Y ), Z, 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) )
% 0.95/1.33 , ~( 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.95/1.33 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ), hAPP(
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), 'c_Suc'( T )
% 0.95/1.33 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ), hAPP(
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), T ) ) ),
% 0.95/1.33 hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 0.95/1.33 , X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.33 , X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ), hAPP(
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), T ) ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ), hAPP(
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_Suc'( Z ), 'tc_nat' ), T
% 0.95/1.33 ) ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.33 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.95/1.33 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.33 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.95/1.33 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.95/1.33 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 0.95/1.33 ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.95/1.33 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.33 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.33 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.33 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 0.95/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.33 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.95/1.33 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.95/1.33 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.95/1.33 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.95/1.33 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.95/1.33 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.95/1.33 , X ) ) ],
% 0.95/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.33 , Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.33 , Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.33 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.33 T, X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 0.95/1.33 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.95/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.95/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 0.95/1.33 ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.95/1.33 'c_Series_Osuminf'( Z, X ) ), ~( 'c_Series_Osums'( Z, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.95/1.33 'c_Series_Osuminf'( Y, X ), Z ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 0.95/1.33 Y, 'c_Series_Osuminf'( Y, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.33 'c_Series_Osummable'( Y, X ) ), 'c_Series_Osums'( Y, 'c_Series_Osuminf'(
% 0.95/1.33 Y, X ), X ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.33 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.33 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.95/1.33 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.33 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.33 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.33 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.33 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.95/1.33 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.33 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.95/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), T, Y, X
% 0.95/1.33 , X ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), T, Y, X, X
% 0.95/1.33 ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 0.95/1.33 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 0.95/1.33 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y
% 0.95/1.33 , 'tc_fun'( U, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, X )
% 0.95/1.33 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'(
% 0.95/1.33 U, X ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) )
% 0.95/1.33 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ),
% 0.95/1.33 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X
% 0.95/1.33 , 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W
% 0.95/1.33 ) ) ), V0 ) ), T ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 0.95/1.33 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 0.95/1.33 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 0.95/1.33 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 0.95/1.33 'c_Series_Osums'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 0.95/1.33 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 0.95/1.33 'c_Series_Osums'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.95/1.33 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ) ), Y ) ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.95/1.33 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ) ), Y ) ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 0.95/1.33 , Z ), X ), ~( 'c_SEQ_OCauchy'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 0.95/1.33 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 0.95/1.33 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 0.95/1.33 , Z ), X ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 0.95/1.33 , Z ), X ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.95/1.33 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), X ), ~(
% 0.95/1.33 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.95/1.33 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP(
% 0.95/1.33 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), X ), ~(
% 0.95/1.33 'c_Series_Osummable'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y )
% 0.95/1.33 ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X )
% 0.95/1.33 , ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OZseq'( hAPP(
% 0.95/1.33 hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X
% 0.95/1.33 , X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ) ), Z ), X
% 0.95/1.33 ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OCauchy'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y )
% 0.95/1.33 ), Z ), X ), ~( 'c_SEQ_OCauchy'( Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y )
% 0.95/1.33 ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X )
% 0.95/1.33 , ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.95/1.33 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y )
% 0.95/1.33 ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X )
% 0.95/1.33 , ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 0.95/1.33 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 0.95/1.33 'tc_Complex_Ocomplex' ), hAPP( 'c_Power_Opower__class_Opower'(
% 0.95/1.33 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 0.95/1.33 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), Y ) ) ), hAPP(
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ), 'tc_nat' ), X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_Complex_Ocomplex' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.95/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.95/1.33 , Y, 'tc_nat' ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 0.95/1.33 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.33 X ) ), Z ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.33 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.33 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 0.95/1.33 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.95/1.33 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 0.95/1.33 X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, X, X, X ), T
% 0.95/1.33 , X ), =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.95/1.33 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'( Y,
% 0.95/1.33 T, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), T, Y, X, X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), U ), W ), V0, Y, X ), =( W,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X
% 0.95/1.33 ) ), ~( 'c_Limits_Otendsto'( Z, U, V0, Y, X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.95/1.33 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), =( U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~(
% 0.95/1.33 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.33 ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ), hAPP(
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_Suc'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Z ) ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ), hAPP(
% 0.95/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.95/1.33 'c_Series_Osuminf'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X )
% 0.95/1.33 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.33 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.95/1.33 ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 0.95/1.33 'tc_nat', X ), Y ), hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.95/1.33 Z, X ) ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 0.95/1.33 hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X
% 0.95/1.33 , X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), T ) ),
% 0.95/1.33 hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 0.95/1.33 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 0.95/1.33 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 0.95/1.33 ) ), U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 0.95/1.33 'c_COMBC'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 0.95/1.33 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 0.95/1.33 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ), W
% 0.95/1.33 ) ), U ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.95/1.33 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.33 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.33 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.33 ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 0.95/1.33 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.33 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.95/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.95/1.33 ), Y ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 0.95/1.33 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 0.95/1.33 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), U ) ), T ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 0.95/1.33 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 0.95/1.33 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 0.95/1.33 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), U ) ), T ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.33 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.95/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.33 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.33 ,
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.33 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 0.95/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 0.95/1.33 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 0.95/1.33 hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y
% 0.95/1.33 ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), U ) ), T ) ) ],
% 0.95/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.33 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 0.95/1.33 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 0.95/1.33 hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y
% 0.95/1.34 ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), U ) ), T ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.95/1.34 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 0.95/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.34 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.34 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.95/1.34 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.34 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.34 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.34 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 0.95/1.34 hAPP( U, W ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 0.95/1.34 T, W ), U ) ) ],
% 0.95/1.34 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.95/1.34 , W ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.34 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.34 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.34 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.34 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 0.95/1.34 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_fun'(
% 0.95/1.34 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_COMBB'(
% 0.95/1.34 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 0.95/1.34 , 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 0.95/1.34 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ) ), 'c_COMBS'(
% 0.95/1.34 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'(
% 0.95/1.34 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_fun'(
% 0.95/1.34 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 0.95/1.34 'tc_nat' ), 'c_COMBC'( 'tc_nat', 'tc_Complex_Ocomplex',
% 0.95/1.34 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 0.95/1.34 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 0.95/1.34 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_nat' ), hAPP(
% 0.95/1.34 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 0.95/1.34 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.34 'tc_Complex_Ocomplex' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex'
% 0.95/1.34 , 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 0.95/1.34 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ) ), hAPP( hAPP(
% 0.95/1.34 'c_COMBC'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), hAPP(
% 0.95/1.34 hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 0.95/1.34 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.34 'tc_Complex_Ocomplex' ) ), hAPP( 'c_Power_Opower__class_Opower'(
% 0.95/1.34 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ) ), hAPP(
% 0.95/1.34 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 0.95/1.34 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ), 'v_i' ) ) ) ) ), 'v_a', 'tc_nat',
% 0.95/1.34 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) )
% 0.95/1.34 , hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'v_n' ) ) ), hAPP(
% 0.95/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ), 'tc_nat' ), 'v_n' ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ),
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_Complex_Ocomplex' ) ),
% 0.95/1.34 hAPP( 'v_a', 'v_i' ) ) ) ) ],
% 0.95/1.34 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.34 'class_Orderings_Opreorder'( Y ) ) ],
% 0.95/1.34 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.34 'class_Orderings_Oorder'( Y ) ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.95/1.34 ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.95/1.34 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.95/1.34 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.95/1.34 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.95/1.34 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ 'class_HOL_Oinverse'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.34 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.95/1.34 , W ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 0.95/1.34 T, W ), U ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 0.95/1.34 hAPP( U, W ) ) ) ],
% 0.95/1.34 [ 'c_fequal'( X, X, Y ) ],
% 0.95/1.34 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.95/1.34 ] .
% 0.95/1.34
% 0.95/1.34
% 0.95/1.34 percentage equality = 0.184432, percentage horn = 0.860606
% 0.95/1.34 This is a problem with some equality
% 0.95/1.34
% 0.95/1.34
% 0.95/1.34
% 0.95/1.34 Options Used:
% 0.95/1.34
% 0.95/1.34 useres = 1
% 0.95/1.34 useparamod = 1
% 0.95/1.34 useeqrefl = 1
% 0.95/1.34 useeqfact = 1
% 0.95/1.34 usefactor = 1
% 0.95/1.34 usesimpsplitting = 0
% 0.95/1.34 usesimpdemod = 5
% 0.95/1.34 usesimpres = 3
% 0.95/1.34
% 0.95/1.34 resimpinuse = 1000
% 0.95/1.34 resimpclauses = 20000
% 0.95/1.34 substype = eqrewr
% 0.95/1.34 backwardsubs = 1
% 0.95/1.34 selectoldest = 5
% 0.95/1.34
% 0.95/1.34 litorderings [0] = split
% 0.95/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.95/1.34
% 0.95/1.34 termordering = kbo
% 0.95/1.34
% 0.95/1.34 litapriori = 0
% 0.95/1.34 termapriori = 1
% 0.95/1.34 litaposteriori = 0
% 0.95/1.34 termaposteriori = 0
% 0.95/1.34 demodaposteriori = 0
% 0.95/1.34 ordereqreflfact = 0
% 0.95/1.34
% 0.95/1.34 litselect = negord
% 0.95/1.34
% 0.95/1.34 maxweight = 15
% 0.95/1.34 maxdepth = 30000
% 0.95/1.34 maxlength = 115
% 0.95/1.34 maxnrvars = 195
% 0.95/1.34 excuselevel = 1
% 0.95/1.34 increasemaxweight = 1
% 0.95/1.34
% 0.95/1.34 maxselected = 10000000
% 0.95/1.34 maxnrclauses = 10000000
% 0.95/1.34
% 0.95/1.34 showgenerated = 0
% 0.95/1.34 showkept = 0
% 0.95/1.34 showselected = 0
% 0.95/1.34 showdeleted = 0
% 0.95/1.34 showresimp = 1
% 0.95/1.34 showstatus = 2000
% 0.95/1.34
% 0.95/1.34 prologoutput = 1
% 0.95/1.34 nrgoals = 5000000
% 0.95/1.34 totalproof = 1
% 0.95/1.34
% 0.95/1.34 Symbols occurring in the translation:
% 0.95/1.34
% 0.95/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.95/1.34 . [1, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.95/1.34 ! [4, 1] (w:0, o:69, a:1, s:1, b:0),
% 0.95/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.34 'class_Ring__and__Field_Oordered__semidom' [40, 1] (w:1, o:76, a:1
% 0.95/1.34 , s:1, b:0),
% 0.95/1.34 'c_HOL_Oone__class_Oone' [41, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.95/1.34 'c_Power_Opower__class_Opower' [42, 1] (w:1, o:78, a:1, s:1, b:0),
% 2.68/3.07 hAPP [44, 2] (w:1, o:161, a:1, s:1, b:0),
% 2.68/3.07 'c_HOL_Oord__class_Oless' [46, 3] (w:1, o:170, a:1, s:1, b:0),
% 2.68/3.07 'tc_nat' [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 2.68/3.07 'c_HOL_Ozero__class_Ozero' [48, 1] (w:1, o:79, a:1, s:1, b:0),
% 2.68/3.07 'c_Suc' [50, 1] (w:1, o:80, a:1, s:1, b:0),
% 2.68/3.07 'class_RealVector_Oreal__normed__field' [51, 1] (w:1, o:81, a:1, s:1
% 2.68/3.07 , b:0),
% 2.68/3.07 'tc_fun' [52, 2] (w:1, o:162, a:1, s:1, b:0),
% 2.68/3.07 'c_COMBB' [53, 3] (w:1, o:171, a:1, s:1, b:0),
% 2.68/3.07 'c_HOL_Otimes__class_Otimes' [54, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.68/3.07 'c_COMBS' [57, 5] (w:1, o:178, a:1, s:1, b:0),
% 2.68/3.07 'c_HOL_Oplus__class_Oplus' [59, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.68/3.07 'c_Deriv_Oderiv' [62, 4] (w:1, o:177, a:1, s:1, b:0),
% 2.68/3.07 'class_Ring__and__Field_Osemiring__1' [65, 1] (w:1, o:89, a:1, s:1
% 2.68/3.07 , b:0),
% 2.68/3.07 'c_Nat_Osemiring__1__class_Oof__nat' [67, 2] (w:1, o:163, a:1, s:1
% 2.68/3.07 , b:0),
% 2.68/3.07 'c_COMBC' [68, 3] (w:1, o:172, a:1, s:1, b:0),
% 2.68/3.07 'c_HOL_Oinverse__class_Odivide' [69, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.68/3.07 'c_HOL_Ominus__class_Ominus' [73, 1] (w:1, o:91, a:1, s:1, b:0),
% 2.68/3.07 'class_Ring__and__Field_Osemiring__0' [74, 1] (w:1, o:88, a:1, s:1
% 2.68/3.07 , b:0),
% 2.68/3.07 'class_Power_Opower' [75, 1] (w:1, o:112, a:1, s:1, b:0),
% 2.68/3.07 'class_Ring__and__Field_Oordered__field' [76, 1] (w:1, o:113, a:1, s:
% 2.68/3.07 1, b:0),
% 2.68/3.07 'class_Ring__and__Field_Odivision__by__zero' [77, 1] (w:1, o:116, a:1
% 2.68/3.07 , s:1, b:0),
% 2.68/3.07 'tc_Complex_Ocomplex' [78, 0] (w:1, o:35, a:1, s:1, b:0),
% 2.68/3.07 'c_FFT__Mirabelle_Oroot' [79, 1] (w:1, o:117, a:1, s:1, b:0),
% 2.68/3.07 'class_Ring__and__Field_Ofield' [80, 1] (w:1, o:118, a:1, s:1, b:0),
% 2.68/3.07
% 2.68/3.07 'class_OrderedGroup_Omonoid__mult' [81, 1] (w:1, o:94, a:1, s:1, b:0)
% 2.68/3.07 ,
% 2.68/3.07 'class_Ring__and__Field_Ocomm__semiring__1' [82, 1] (w:1, o:114, a:1
% 2.68/3.07 , s:1, b:0),
% 2.68/3.07 'class_OrderedGroup_Ocomm__monoid__mult' [83, 1] (w:1, o:95, a:1, s:1
% 2.68/3.07 , b:0),
% 2.68/3.07 'class_Ring__and__Field_Ozero__neq__one' [84, 1] (w:1, o:119, a:1, s:
% 2.68/3.07 1, b:0),
% 2.68/3.07 'c_COMBI' [85, 1] (w:1, o:120, a:1, s:1, b:0),
% 2.68/3.07 'c_Deriv_Odifferentiable' [87, 3] (w:1, o:173, a:1, s:1, b:0),
% 2.68/3.07 'class_RealVector_Ometric__space' [89, 1] (w:1, o:121, a:1, s:1, b:0)
% 2.68/3.07 ,
% 2.68/3.07 'c_Lim_OLIM' [90, 5] (w:1, o:179, a:1, s:1, b:0),
% 2.68/3.07 'class_RealVector_Oreal__normed__vector' [91, 1] (w:1, o:122, a:1, s:
% 2.68/3.07 1, b:0),
% 2.68/3.07 'c_Series_Osums' [93, 3] (w:1, o:174, a:1, s:1, b:0),
% 2.68/3.07 'tc_bool' [94, 0] (w:1, o:42, a:1, s:1, b:0),
% 2.68/3.07 'c_Finite__Set_Osetsum' [95, 2] (w:1, o:164, a:1, s:1, b:0),
% 2.68/3.07 'c_SetInterval_Oord__class_OatLeastLessThan' [96, 2] (w:1, o:165, a:1
% 2.68/3.07 , s:1, b:0),
% 2.68/3.07 'c_SEQ_OLIMSEQ' [97, 3] (w:1, o:175, a:1, s:1, b:0),
% 2.68/3.07 'class_RealVector_Oreal__normed__algebra' [99, 1] (w:1, o:123, a:1
% 2.68/3.07 , s:1, b:0),
% 2.68/3.07 'c_Series_Osuminf' [100, 2] (w:1, o:166, a:1, s:1, b:0),
% 2.68/3.07 'c_Series_Osummable' [101, 2] (w:1, o:167, a:1, s:1, b:0),
% 2.68/3.07 'class_OrderedGroup_Ocomm__monoid__add' [103, 1] (w:1, o:96, a:1, s:1
% 2.68/3.07 , b:0),
% 2.68/3.07 'class_Ring__and__Field_Oordered__ring__strict' [104, 1] (w:1, o:75
% 2.68/3.07 , a:1, s:1, b:0),
% 2.68/3.07 'class_Ring__and__Field_Oidom' [105, 1] (w:1, o:124, a:1, s:1, b:0),
% 2.68/3.07
% 2.68/3.07 'class_Int_Onumber__ring' [106, 1] (w:1, o:126, a:1, s:1, b:0),
% 2.68/3.07 'class_HOL_Oinverse' [110, 1] (w:1, o:125, a:1, s:1, b:0),
% 2.68/3.07 'c_SEQ_OZseq' [115, 2] (w:1, o:168, a:1, s:1, b:0),
% 2.68/3.07 'class_RealVector_Oreal__field' [117, 1] (w:1, o:127, a:1, s:1, b:0)
% 2.68/3.07 ,
% 2.68/3.07 'c_Limits_Otendsto' [121, 5] (w:1, o:180, a:1, s:1, b:0),
% 2.68/3.07 'class_Ring__and__Field_Osemiring' [125, 1] (w:1, o:128, a:1, s:1, b:
% 2.68/3.07 0),
% 2.68/3.07 'class_Ring__and__Field_Ocomm__semiring' [127, 1] (w:1, o:115, a:1
% 2.68/3.07 , s:1, b:0),
% 2.68/3.07 'class_OrderedGroup_Omonoid__add' [130, 1] (w:1, o:97, a:1, s:1, b:0)
% 2.68/3.07 ,
% 2.68/3.07 'class_OrderedGroup_Ogroup__add' [131, 1] (w:1, o:98, a:1, s:1, b:0)
% 2.68/3.07 ,
% 2.68/3.07 'class_OrderedGroup_Oab__group__add' [132, 1] (w:1, o:99, a:1, s:1
% 2.68/3.07 , b:0),
% 2.68/3.07 'class_OrderedGroup_Olordered__ab__group__add' [133, 1] (w:1, o:93
% 2.68/3.07 , a:1, s:1, b:0),
% 2.68/3.07 'class_OrderedGroup_Opordered__comm__monoid__add' [134, 1] (w:1, o:
% 15.52/15.89 100, a:1, s:1, b:0),
% 15.52/15.89 'class_Ring__and__Field_Oordered__semiring__strict' [137, 1] (w:1, o:
% 15.52/15.89 129, a:1, s:1, b:0),
% 15.52/15.89 'class_Ring__and__Field_Oordered__comm__semiring__strict' [138, 1]
% 15.52/15.89 (w:1, o:130, a:1, s:1, b:0),
% 15.52/15.89 'class_Ring__and__Field_Oordered__idom' [139, 1] (w:1, o:131, a:1, s:
% 15.52/15.89 1, b:0),
% 15.52/15.89 'c_SEQ_OCauchy' [140, 2] (w:1, o:169, a:1, s:1, b:0),
% 15.52/15.89 'v_i' [142, 0] (w:1, o:57, a:1, s:1, b:0),
% 15.52/15.89 'v_n' [143, 0] (w:1, o:58, a:1, s:1, b:0),
% 15.52/15.89 'class_OrderedGroup_Oab__semigroup__add' [144, 1] (w:1, o:101, a:1
% 15.52/15.89 , s:1, b:0),
% 15.52/15.89 'class_Orderings_Opreorder' [145, 1] (w:1, o:103, a:1, s:1, b:0),
% 15.52/15.89 'class_Orderings_Oorder' [146, 1] (w:1, o:102, a:1, s:1, b:0),
% 15.52/15.89 'class_Ring__and__Field_Oring' [147, 1] (w:1, o:84, a:1, s:1, b:0),
% 15.52/15.89 'class_Orderings_Olinorder' [148, 1] (w:1, o:104, a:1, s:1, b:0),
% 15.52/15.89 hBOOL [149, 1] (w:1, o:132, a:1, s:1, b:0),
% 15.52/15.89 'class_RealVector_Oreal__normed__algebra__1' [150, 1] (w:1, o:133, a:
% 15.52/15.89 1, s:1, b:0),
% 15.52/15.89 'class_OrderedGroup_Opordered__ab__group__add' [153, 1] (w:1, o:105
% 15.52/15.89 , a:1, s:1, b:0),
% 15.52/15.89 'class_OrderedGroup_Ocancel__ab__semigroup__add' [154, 1] (w:1, o:106
% 15.52/15.89 , a:1, s:1, b:0),
% 15.52/15.89 'class_OrderedGroup_Ocancel__semigroup__add' [155, 1] (w:1, o:107, a:
% 15.52/15.89 1, s:1, b:0),
% 15.52/15.89 'class_Ring__and__Field_Opordered__ring' [158, 1] (w:1, o:134, a:1
% 15.52/15.89 , s:1, b:0),
% 15.52/15.89 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [159, 1]
% 15.52/15.89 (w:1, o:108, a:1, s:1, b:0),
% 15.52/15.89 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [160, 1]
% 15.52/15.89 (w:1, o:109, a:1, s:1, b:0),
% 15.52/15.89 'class_Ring__and__Field_Oring__1' [163, 1] (w:1, o:85, a:1, s:1, b:0)
% 15.52/15.89 ,
% 15.52/15.89 'class_Ring__and__Field_Oring__no__zero__divisors' [164, 1] (w:1, o:
% 15.52/15.89 86, a:1, s:1, b:0),
% 15.52/15.89 'class_Ring__and__Field_Omult__zero' [165, 1] (w:1, o:135, a:1, s:1
% 15.52/15.89 , b:0),
% 15.52/15.89 'class_OrderedGroup_Oab__semigroup__mult' [170, 1] (w:1, o:110, a:1
% 15.52/15.89 , s:1, b:0),
% 15.52/15.89 'class_OrderedGroup_Oab__semigroup__idem__mult' [171, 1] (w:1, o:111
% 15.52/15.89 , a:1, s:1, b:0),
% 15.52/15.89 'class_Ring__and__Field_Ono__zero__divisors' [172, 1] (w:1, o:74, a:1
% 15.52/15.89 , s:1, b:0),
% 15.52/15.89 'class_Ring__and__Field_Oring__1__no__zero__divisors' [173, 1] (w:1
% 15.52/15.89 , o:87, a:1, s:1, b:0),
% 15.52/15.89 'class_Nat_Osemiring__char__0' [174, 1] (w:1, o:92, a:1, s:1, b:0),
% 15.52/15.89 'v_a' [177, 0] (w:1, o:66, a:1, s:1, b:0),
% 15.52/15.89 'c_fequal' [180, 3] (w:1, o:176, a:1, s:1, b:0).
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Starting Search:
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 15.52/15.89 Generated: 4278
% 15.52/15.89 Kept: 2011
% 15.52/15.89 Inuse: 185
% 15.52/15.89 Deleted: 1
% 15.52/15.89 Deletedinuse: 0
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 15.52/15.89 Generated: 11272
% 15.52/15.89 Kept: 4369
% 15.52/15.89 Inuse: 254
% 15.52/15.89 Deleted: 2
% 15.52/15.89 Deletedinuse: 0
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 15.52/15.89 Generated: 18053
% 15.52/15.89 Kept: 6633
% 15.52/15.89 Inuse: 309
% 15.52/15.89 Deleted: 2
% 15.52/15.89 Deletedinuse: 0
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 15.52/15.89 Generated: 24909
% 15.52/15.89 Kept: 8665
% 15.52/15.89 Inuse: 359
% 15.52/15.89 Deleted: 2
% 15.52/15.89 Deletedinuse: 0
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 15.52/15.89 Generated: 30715
% 15.52/15.89 Kept: 10673
% 15.52/15.89 Inuse: 386
% 15.52/15.89 Deleted: 2
% 15.52/15.89 Deletedinuse: 0
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 15.52/15.89 Generated: 43211
% 15.52/15.89 Kept: 12832
% 15.52/15.89 Inuse: 399
% 15.52/15.89 Deleted: 2
% 15.52/15.89 Deletedinuse: 0
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 15.52/15.89 Generated: 50942
% 15.52/15.89 Kept: 14881
% 15.52/15.89 Inuse: 429
% 15.52/15.89 Deleted: 2
% 15.52/15.89 Deletedinuse: 0
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 15.52/15.89 Generated: 58185
% 15.52/15.89 Kept: 16925
% 15.52/15.89 Inuse: 489
% 15.52/15.89 Deleted: 2
% 15.52/15.89 Deletedinuse: 0
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 15.52/15.89 Generated: 64884
% 15.52/15.89 Kept: 19246
% 15.52/15.89 Inuse: 519
% 15.52/15.89 Deleted: 2
% 15.52/15.89 Deletedinuse: 0
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89 Resimplifying clauses:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 15.52/15.89 Generated: 73346
% 15.52/15.89 Kept: 21364
% 15.52/15.89 Inuse: 584
% 15.52/15.89 Deleted: 127
% 15.52/15.89 Deletedinuse: 0
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89 Resimplifying inuse:
% 15.52/15.89 Done
% 15.52/15.89
% 15.52/15.89
% 15.52/15.89 Intermediate Status:
% 46.71/47.08 Generated: 104034
% 46.71/47.08 Kept: 25616
% 46.71/47.08 Inuse: 619
% 46.71/47.08 Deleted: 127
% 46.71/47.08 Deletedinuse: 0
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 116371
% 46.71/47.08 Kept: 28601
% 46.71/47.08 Inuse: 639
% 46.71/47.08 Deleted: 127
% 46.71/47.08 Deletedinuse: 0
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 134401
% 46.71/47.08 Kept: 32561
% 46.71/47.08 Inuse: 694
% 46.71/47.08 Deleted: 127
% 46.71/47.08 Deletedinuse: 0
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 142037
% 46.71/47.08 Kept: 34942
% 46.71/47.08 Inuse: 699
% 46.71/47.08 Deleted: 127
% 46.71/47.08 Deletedinuse: 0
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 149457
% 46.71/47.08 Kept: 37353
% 46.71/47.08 Inuse: 704
% 46.71/47.08 Deleted: 127
% 46.71/47.08 Deletedinuse: 0
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 161016
% 46.71/47.08 Kept: 40779
% 46.71/47.08 Inuse: 718
% 46.71/47.08 Deleted: 127
% 46.71/47.08 Deletedinuse: 0
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying clauses:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 169193
% 46.71/47.08 Kept: 42779
% 46.71/47.08 Inuse: 742
% 46.71/47.08 Deleted: 186
% 46.71/47.08 Deletedinuse: 0
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 177321
% 46.71/47.08 Kept: 45108
% 46.71/47.08 Inuse: 758
% 46.71/47.08 Deleted: 187
% 46.71/47.08 Deletedinuse: 0
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 194068
% 46.71/47.08 Kept: 48510
% 46.71/47.08 Inuse: 778
% 46.71/47.08 Deleted: 187
% 46.71/47.08 Deletedinuse: 0
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 205959
% 46.71/47.08 Kept: 50783
% 46.71/47.08 Inuse: 818
% 46.71/47.08 Deleted: 188
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 214832
% 46.71/47.08 Kept: 52960
% 46.71/47.08 Inuse: 843
% 46.71/47.08 Deleted: 188
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 222829
% 46.71/47.08 Kept: 54993
% 46.71/47.08 Inuse: 874
% 46.71/47.08 Deleted: 188
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 231211
% 46.71/47.08 Kept: 57081
% 46.71/47.08 Inuse: 908
% 46.71/47.08 Deleted: 188
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 241835
% 46.71/47.08 Kept: 59310
% 46.71/47.08 Inuse: 943
% 46.71/47.08 Deleted: 188
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying clauses:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 254071
% 46.71/47.08 Kept: 61317
% 46.71/47.08 Inuse: 972
% 46.71/47.08 Deleted: 787
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 263936
% 46.71/47.08 Kept: 63321
% 46.71/47.08 Inuse: 995
% 46.71/47.08 Deleted: 787
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 273058
% 46.71/47.08 Kept: 65355
% 46.71/47.08 Inuse: 1023
% 46.71/47.08 Deleted: 787
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 281436
% 46.71/47.08 Kept: 67412
% 46.71/47.08 Inuse: 1048
% 46.71/47.08 Deleted: 787
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 311906
% 46.71/47.08 Kept: 71708
% 46.71/47.08 Inuse: 1058
% 46.71/47.08 Deleted: 787
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 320784
% 46.71/47.08 Kept: 73865
% 46.71/47.08 Inuse: 1078
% 46.71/47.08 Deleted: 787
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 330253
% 46.71/47.08 Kept: 76147
% 46.71/47.08 Inuse: 1098
% 46.71/47.08 Deleted: 787
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 340318
% 46.71/47.08 Kept: 78249
% 46.71/47.08 Inuse: 1103
% 46.71/47.08 Deleted: 787
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 359988
% 46.71/47.08 Kept: 80457
% 46.71/47.08 Inuse: 1128
% 46.71/47.08 Deleted: 787
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 391734
% 46.71/47.08 Kept: 84449
% 46.71/47.08 Inuse: 1133
% 46.71/47.08 Deleted: 787
% 46.71/47.08 Deletedinuse: 1
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying clauses:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08 Resimplifying inuse:
% 46.71/47.08 Done
% 46.71/47.08
% 46.71/47.08
% 46.71/47.08 Intermediate Status:
% 46.71/47.08 Generated: 402025
% 46.71/47.08 Kept: 86796
% 46.71/47.08 Inuse: 1153
% 46.71/47.08 Deleted: 1309
% 46.71/47.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 421222
% 110.69/111.08 Kept: 90432
% 110.69/111.08 Inuse: 1178
% 110.69/111.08 Deleted: 1309
% 110.69/111.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 427689
% 110.69/111.08 Kept: 92436
% 110.69/111.08 Inuse: 1180
% 110.69/111.08 Deleted: 1309
% 110.69/111.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 439658
% 110.69/111.08 Kept: 94535
% 110.69/111.08 Inuse: 1213
% 110.69/111.08 Deleted: 1309
% 110.69/111.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 450218
% 110.69/111.08 Kept: 96550
% 110.69/111.08 Inuse: 1241
% 110.69/111.08 Deleted: 1309
% 110.69/111.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 460459
% 110.69/111.08 Kept: 99375
% 110.69/111.08 Inuse: 1248
% 110.69/111.08 Deleted: 1309
% 110.69/111.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 470373
% 110.69/111.08 Kept: 101502
% 110.69/111.08 Inuse: 1273
% 110.69/111.08 Deleted: 1309
% 110.69/111.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 489679
% 110.69/111.08 Kept: 104026
% 110.69/111.08 Inuse: 1283
% 110.69/111.08 Deleted: 1309
% 110.69/111.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 506932
% 110.69/111.08 Kept: 106453
% 110.69/111.08 Inuse: 1288
% 110.69/111.08 Deleted: 1309
% 110.69/111.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying clauses:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 523365
% 110.69/111.08 Kept: 108476
% 110.69/111.08 Inuse: 1293
% 110.69/111.08 Deleted: 1646
% 110.69/111.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 557192
% 110.69/111.08 Kept: 112258
% 110.69/111.08 Inuse: 1303
% 110.69/111.08 Deleted: 1646
% 110.69/111.08 Deletedinuse: 1
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 570744
% 110.69/111.08 Kept: 114766
% 110.69/111.08 Inuse: 1328
% 110.69/111.08 Deleted: 1647
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 580400
% 110.69/111.08 Kept: 116909
% 110.69/111.08 Inuse: 1348
% 110.69/111.08 Deleted: 1647
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 600339
% 110.69/111.08 Kept: 118961
% 110.69/111.08 Inuse: 1358
% 110.69/111.08 Deleted: 1647
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 617843
% 110.69/111.08 Kept: 120966
% 110.69/111.08 Inuse: 1363
% 110.69/111.08 Deleted: 1647
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 635412
% 110.69/111.08 Kept: 122974
% 110.69/111.08 Inuse: 1368
% 110.69/111.08 Deleted: 1647
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 653046
% 110.69/111.08 Kept: 124993
% 110.69/111.08 Inuse: 1373
% 110.69/111.08 Deleted: 1647
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 664130
% 110.69/111.08 Kept: 127339
% 110.69/111.08 Inuse: 1378
% 110.69/111.08 Deleted: 1647
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying clauses:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 679389
% 110.69/111.08 Kept: 130209
% 110.69/111.08 Inuse: 1383
% 110.69/111.08 Deleted: 1839
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 690851
% 110.69/111.08 Kept: 132976
% 110.69/111.08 Inuse: 1403
% 110.69/111.08 Deleted: 1839
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 697460
% 110.69/111.08 Kept: 135203
% 110.69/111.08 Inuse: 1413
% 110.69/111.08 Deleted: 1839
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 716009
% 110.69/111.08 Kept: 139697
% 110.69/111.08 Inuse: 1418
% 110.69/111.08 Deleted: 1839
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 725974
% 110.69/111.08 Kept: 142071
% 110.69/111.08 Inuse: 1437
% 110.69/111.08 Deleted: 1840
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 736997
% 110.69/111.08 Kept: 145637
% 110.69/111.08 Inuse: 1447
% 110.69/111.08 Deleted: 1850
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 744924
% 110.69/111.08 Kept: 148403
% 110.69/111.08 Inuse: 1450
% 110.69/111.08 Deleted: 1851
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying clauses:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 Intermediate Status:
% 110.69/111.08 Generated: 754357
% 110.69/111.08 Kept: 150803
% 110.69/111.08 Inuse: 1471
% 110.69/111.08 Deleted: 2033
% 110.69/111.08 Deletedinuse: 2
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08 Resimplifying inuse:
% 110.69/111.08 Done
% 110.69/111.08
% 110.69/111.08
% 110.69/111.08 IntermedCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------