TSTP Solution File: SWV684-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV684-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:45 EDT 2022
% Result : Timeout 300.01s 300.69s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV684-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 16 05:11:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.96/1.32 *** allocated 10000 integers for termspace/termends
% 0.96/1.32 *** allocated 10000 integers for clauses
% 0.96/1.32 *** allocated 10000 integers for justifications
% 0.96/1.32 *** allocated 15000 integers for termspace/termends
% 0.96/1.32 *** allocated 22500 integers for termspace/termends
% 0.96/1.32 Bliksem 1.12
% 0.96/1.32
% 0.96/1.32
% 0.96/1.32 Automatic Strategy Selection
% 0.96/1.32
% 0.96/1.32 Clauses:
% 0.96/1.32 [
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.96/1.32 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.96/1.32 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.96/1.32 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.96/1.32 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y
% 0.96/1.32 ) ), Z ), T, X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 0.96/1.32 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.96/1.32 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) )
% 0.96/1.32 , Y ) ), Z ), T, X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 0.96/1.32 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U
% 0.96/1.32 , V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T
% 0.96/1.32 , U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.96/1.32 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) )
% 0.96/1.32 , Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), V0
% 0.96/1.32 , Y, X ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~(
% 0.96/1.32 'c_Limits_Otendsto'( Z, U, V0, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.96/1.32 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z
% 0.96/1.32 ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), U ), W ), V0, Y,
% 0.96/1.32 X ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'(
% 0.96/1.32 Z, U, V0, Y, X ) ) ],
% 0.96/1.32 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.32 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.32 ), 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.32 ), 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.96/1.32 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.96/1.32 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.96/1.32 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.96/1.32 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.96/1.32 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 0.96/1.32 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.96/1.32 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) )
% 0.96/1.32 , Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~(
% 0.96/1.32 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.96/1.32 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ) ), Z
% 0.96/1.32 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.96/1.32 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.96/1.32 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ) ), Z
% 0.96/1.32 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.96/1.32 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.96/1.32 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) )
% 0.96/1.32 , Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~(
% 0.96/1.32 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 0.96/1.32 , Z ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 0.96/1.32 , Z ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 0.96/1.32 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 0.96/1.32 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.96/1.32 ), Z ), Y ), 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.96/1.32 ), Y ), Z ), 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 0.96/1.32 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( hAPP( 'c_COMBC'(
% 0.96/1.32 'tc_nat', 'tc_nat', 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) )
% 0.96/1.32 , Z ) ), T, X ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 0.96/1.32 ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y
% 0.96/1.32 ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat', 'tc_nat' ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), T ) ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), T ), U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, T, Y, X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 0.96/1.32 ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'(
% 0.96/1.32 X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ) ), U )
% 0.96/1.32 , T, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ) ), Z ) ), T ), U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_Lim_OLIM'( Z, U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 0.96/1.32 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ),
% 0.96/1.32 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ) ), T ) ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 0.96/1.32 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ),
% 0.96/1.32 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), T ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 0.96/1.32 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 0.96/1.32 , U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~(
% 0.96/1.32 'c_Lim_OLIM'( T, U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.96/1.32 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), W, Y, X ), ~(
% 0.96/1.32 'c_Limits_Otendsto'( T, U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.32 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.96/1.32 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.96/1.32 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T
% 0.96/1.32 , X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 0.96/1.32 'c_Deriv_Odifferentiable'( Y, hAPP( Z, T ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, Y, Z ), T ), U ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'(
% 0.96/1.32 U, W, V0, Z, X ) ), ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 0.96/1.32 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 0.96/1.32 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 0.96/1.32 , X ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( Y, X, Y ), Z ), hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y ), T ) ), 'c_HOL_Ozero__class_Ozero'( Y ),
% 0.96/1.32 U, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( Y, X, Y ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 0.96/1.32 X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 0.96/1.32 ), X, Y ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( X, Y, X ), Z ), hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), T ) ), 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 hAPP( Z, T ), X, Y ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, Y, X ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 0.96/1.32 , T, hAPP( Z, T ), X, Y ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.96/1.32 Y ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 Y ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.96/1.32 Y ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.96/1.32 Y ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 Y ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.96/1.32 Y ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 Y ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.96/1.32 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 , Y ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 0.96/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 0.96/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), Z ), Y ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 0.96/1.32 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 0.96/1.32 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 0.96/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.96/1.32 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.96/1.32 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.32 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.32 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 0.96/1.32 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.96/1.32 ), 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.32 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), T ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), T ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 0.96/1.32 ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y
% 0.96/1.32 ), 'c_Suc' ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 0.96/1.32 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ), Z, X ), ~(
% 0.96/1.32 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 X ), Y ), Z ) ), Z ), Y ) ],
% 0.96/1.32 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), T ), Z ) ), U ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.96/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.96/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.96/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.96/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 0.96/1.32 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 0.96/1.32 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( Y, X, Y ), Z ), hAPP( hAPP( 'c_COMBC'( Y, Y, Y ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y ) ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~( 'c_Lim_OLIM'(
% 0.96/1.32 Z, U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.32 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.96/1.32 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 0.96/1.32 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 0.96/1.32 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.32 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.32 ), =( Z, Y ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.96/1.32 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y
% 0.96/1.32 ), Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 0.96/1.32 T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.96/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 X ), T ), Z ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), T ), Z ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'( hAPP(
% 0.96/1.32 hAPP( 'c_COMBC'( X, X, X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ),
% 0.96/1.32 Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.32 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 0.96/1.32 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 0.96/1.32 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.32 'tc_nat' ) ), =( Y, Z ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 0.96/1.32 ), 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 0.96/1.32 ), 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.96/1.32 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.32 , X, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.96/1.32 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.96/1.32 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.96/1.32 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.96/1.32 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.32 , X, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.96/1.32 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.32 , Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 0.96/1.32 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( hAPP( 'c_COMBC'(
% 0.96/1.32 'tc_nat', 'tc_nat', 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 0.96/1.32 ), Z ) ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.96/1.32 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'v_i', 'v_n', 'tc_nat' ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 0.96/1.32 X, 'tc_nat' ), Y ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat', 'tc_nat' )
% 0.96/1.32 , 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), Z ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 0.96/1.32 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z )
% 0.96/1.32 , 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y )
% 0.96/1.32 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T )
% 0.96/1.32 , 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 0.96/1.32 X, 'tc_nat' ), Y ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat', 'tc_nat' )
% 0.96/1.32 , 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), T ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 0.96/1.32 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 0.96/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 0.96/1.32 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 0.96/1.32 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 X ), Y ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), T ) ), hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ) ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 0.96/1.32 , U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 0.96/1.32 , U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.96/1.32 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) )
% 0.96/1.32 , Z ) ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), T ), W
% 0.96/1.32 , Y, X ), ~( 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z,
% 0.96/1.32 U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.96/1.32 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.96/1.32 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 0.96/1.32 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), T ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), T ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.96/1.32 ), T ), Z ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.96/1.32 ), T ), Z ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.96/1.32 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 0.96/1.32 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.96/1.32 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T
% 0.96/1.32 , U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.96/1.32 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) )
% 0.96/1.32 , Z ) ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), V0
% 0.96/1.32 , Y, X ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~(
% 0.96/1.32 'c_Limits_Otendsto'( Z, U, V0, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.96/1.32 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Otimes__class_Otimes'( X ) )
% 0.96/1.32 , Y ) ), Z ), T, X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 0.96/1.32 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 0.96/1.32 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 0.96/1.32 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), U ), T ), W, Y, X ), ~(
% 0.96/1.32 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'(
% 0.96/1.32 Z, U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 0.96/1.32 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 X ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 0.96/1.32 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 0.96/1.32 ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.96/1.32 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 0.96/1.32 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 0.96/1.32 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.96/1.32 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ) )
% 0.96/1.32 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 0.96/1.32 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.96/1.32 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y )
% 0.96/1.32 ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X )
% 0.96/1.32 , ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 0.96/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBC'( 'tc_nat',
% 0.96/1.32 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ) ), hAPP( hAPP( 'c_COMBS'( 'tc_nat', X,
% 0.96/1.32 X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X,
% 0.96/1.32 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ), hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ) ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 0.96/1.32 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ) ), hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ),
% 0.96/1.32 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), hAPP( hAPP( 'c_COMBB'(
% 0.96/1.32 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 X ), Y ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), T, 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.96/1.32 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBC'( X, 'tc_nat', X ), hAPP(
% 0.96/1.32 hAPP( 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X ), X ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ) ), Y ) ), Z ), T, X ), ~(
% 0.96/1.32 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.96/1.32 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 0.96/1.32 , 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBC'( Y, 'tc_nat', X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ) ), Z ) ), T ), U, hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z
% 0.96/1.32 , U, W, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.96/1.32 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBC'(
% 0.96/1.32 'tc_nat', 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X
% 0.96/1.32 ), 'tc_nat' ), 'c_Power_Opower__class_Opower'( X ) ), Y ) ), Z ), hAPP(
% 0.96/1.32 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~(
% 0.96/1.32 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), hAPP(
% 0.96/1.32 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat'
% 0.96/1.32 , X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 0.96/1.32 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ), hAPP(
% 0.96/1.32 Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 0.96/1.32 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 0.96/1.32 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.96/1.32 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.96/1.32 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 0.96/1.32 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 0.96/1.32 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.96/1.32 , 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.96/1.32 , 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.96/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.96/1.32 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 0.96/1.32 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 0.96/1.32 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 0.96/1.32 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 0.96/1.32 'c_Suc', Y ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 0.96/1.32 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_nat' ), X ), Y ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 0.96/1.32 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 0.96/1.32 ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 0.96/1.32 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 0.96/1.32 ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 0.96/1.32 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 0.96/1.32 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 X, T, 'tc_nat' ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 0.96/1.32 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' )
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 0.96/1.32 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.96/1.32 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.96/1.32 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.32 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 0.96/1.32 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 0.96/1.32 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_nat' ), X ), Y ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 0.96/1.32 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.96/1.32 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 0.96/1.32 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.96/1.32 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.32 , Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.32 , Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.96/1.32 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.96/1.32 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 T, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 0.96/1.32 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.96/1.32 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.96/1.32 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat'
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.96/1.32 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.96/1.32 ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.96/1.32 , Z ), Y ), 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.96/1.32 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.96/1.32 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.96/1.32 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.96/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.96/1.32 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.96/1.32 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_nat' ), X ), Y ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ), X, 'tc_nat' ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.32 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.32 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.32 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.32 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), T ), U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_Lim_OLIM'( Z, U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 0.96/1.32 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.96/1.32 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBS'( X, X, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X )
% 0.96/1.32 ), Y ) ), Z ), T, X ), =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 0.96/1.32 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 0.96/1.32 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), U ), W ), V0, Y, X ), =( W,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X
% 0.96/1.32 ) ), ~( 'c_Limits_Otendsto'( Z, U, V0, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.96/1.32 hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X,
% 0.96/1.32 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y )
% 0.96/1.32 ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X )
% 0.96/1.32 , =( U, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X )
% 0.96/1.32 ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ) ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Power_Opower'( X ) ), ~(
% 0.96/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 0.96/1.32 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 X ), Y ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Z ) ), hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 0.96/1.32 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X,
% 0.96/1.32 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ), hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Z ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 0.96/1.32 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 0.96/1.32 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 X ), Y ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Z ) ), hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ) ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 0.96/1.32 X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 X ), Y ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Z ) ), hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'(
% 0.96/1.32 'tc_nat', X, 'tc_nat' ), Y ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_nat',
% 0.96/1.32 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ) ), T ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 0.96/1.32 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.96/1.32 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBS'( 'tc_nat', X, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 X ) ), Y ) ), hAPP( 'c_Power_Opower__class_Opower'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), X ), hAPP( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 0.96/1.32 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.96/1.32 Z, X ) ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 0.96/1.32 hAPP( 'c_COMBC'( 'tc_nat', X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X
% 0.96/1.32 , X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ) ), T ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 0.96/1.32 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 0.96/1.32 'c_COMBS'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), hAPP(
% 0.96/1.32 hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 0.96/1.32 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ) ), hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ) ) ) ), Y ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 0.96/1.32 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 0.96/1.32 'c_COMBS'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), hAPP(
% 0.96/1.32 hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'tc_Complex_Ocomplex' ) ), Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 0.96/1.32 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ) ), hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ) ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 0.96/1.32 ) ), U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 0.96/1.32 'c_COMBC'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 0.96/1.32 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 0.96/1.32 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ), W
% 0.96/1.32 ) ), U ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.96/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.96/1.32 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.96/1.32 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.96/1.32 ), Y ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 0.96/1.32 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 0.96/1.32 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 0.96/1.32 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 0.96/1.32 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), U ) ), T ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 0.96/1.32 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 0.96/1.32 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 0.96/1.32 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), U ) ), T ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.96/1.32 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 0.96/1.32 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 0.96/1.32 hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y
% 0.96/1.32 ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), U ) ), T ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 0.96/1.32 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 0.96/1.32 hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y
% 0.96/1.32 ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), U ) ), T ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), Y ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.32 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 0.96/1.32 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.32 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.96/1.32 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.32 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.96/1.32 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.96/1.32 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 0.96/1.32 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 0.96/1.32 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y
% 0.96/1.32 , 'tc_fun'( U, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, X )
% 0.96/1.32 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'(
% 0.96/1.32 U, X ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) )
% 0.96/1.32 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ),
% 0.96/1.32 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X
% 0.96/1.32 , 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W
% 0.96/1.32 ) ) ), V0 ) ), T ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.32 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 0.96/1.32 hAPP( U, W ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 0.96/1.32 T, W ), U ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 0.96/1.32 T, W ), hAPP( U, W ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), Z ) ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( X ), Y ), U ) ) ), Z ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 0.96/1.32 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_COMBC'( 'tc_nat', 'tc_fun'(
% 0.96/1.32 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_COMBB'(
% 0.96/1.32 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 0.96/1.32 , 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ) ), hAPP( hAPP(
% 0.96/1.32 'c_COMBC'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 0.96/1.32 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'(
% 0.96/1.32 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Complex_Ocomplex',
% 0.96/1.32 'tc_Complex_Ocomplex' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 0.96/1.32 'tc_nat' ), 'c_COMBS'( 'tc_nat', 'tc_Complex_Ocomplex',
% 0.96/1.32 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 0.96/1.32 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_nat' ), hAPP(
% 0.96/1.32 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'tc_Complex_Ocomplex' ) ) ), hAPP( hAPP( 'c_COMBS'( 'tc_nat',
% 0.96/1.32 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 0.96/1.32 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'(
% 0.96/1.32 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_fun'(
% 0.96/1.32 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 0.96/1.32 'tc_nat' ), 'c_COMBC'( 'tc_nat', 'tc_Complex_Ocomplex',
% 0.96/1.32 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 0.96/1.32 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_nat' ), hAPP(
% 0.96/1.32 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_Complex_Ocomplex' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 0.96/1.32 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_nat' ), hAPP(
% 0.96/1.32 'c_COMBB'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP(
% 0.96/1.32 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 0.96/1.32 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ) ), hAPP( 'c_COMBC'( 'tc_nat',
% 0.96/1.32 'tc_nat', 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ) ) ) ) ) )
% 0.96/1.32 , 'v_a' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', 'tc_Complex_Ocomplex',
% 0.96/1.32 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 0.96/1.32 , 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), hAPP(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ) ) ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), 'v_n', 'tc_nat' ) ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), 'v_n', 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n',
% 0.96/1.32 'tc_Complex_Ocomplex' ) ), hAPP( 'v_a', 'v_i' ) ) ) ) ],
% 0.96/1.32 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Orderings_Opreorder'( Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Orderings_Oorder'( Y ) ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.96/1.33 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.96/1.33 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.96/1.33 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 0.96/1.33 T, W ), hAPP( U, W ) ) ) ],
% 0.96/1.33 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 0.96/1.33 T, W ), U ) ) ],
% 0.96/1.33 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 0.96/1.33 hAPP( U, W ) ) ) ],
% 0.96/1.33 [ 'c_fequal'( X, X, Y ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.96/1.33 ] .
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 percentage equality = 0.249448, percentage horn = 0.847784
% 0.96/1.33 This is a problem with some equality
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Options Used:
% 0.96/1.33
% 0.96/1.33 useres = 1
% 0.96/1.33 useparamod = 1
% 0.96/1.33 useeqrefl = 1
% 0.96/1.33 useeqfact = 1
% 0.96/1.33 usefactor = 1
% 0.96/1.33 usesimpsplitting = 0
% 0.96/1.33 usesimpdemod = 5
% 0.96/1.33 usesimpres = 3
% 0.96/1.33
% 0.96/1.33 resimpinuse = 1000
% 0.96/1.33 resimpclauses = 20000
% 0.96/1.33 substype = eqrewr
% 0.96/1.33 backwardsubs = 1
% 0.96/1.33 selectoldest = 5
% 0.96/1.33
% 0.96/1.33 litorderings [0] = split
% 0.96/1.33 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.33
% 0.96/1.33 termordering = kbo
% 0.96/1.33
% 0.96/1.33 litapriori = 0
% 0.96/1.33 termapriori = 1
% 0.96/1.33 litaposteriori = 0
% 0.96/1.33 termaposteriori = 0
% 0.96/1.33 demodaposteriori = 0
% 0.96/1.33 ordereqreflfact = 0
% 0.96/1.33
% 0.96/1.33 litselect = negord
% 0.96/1.33
% 0.96/1.33 maxweight = 15
% 0.96/1.33 maxdepth = 30000
% 0.96/1.33 maxlength = 115
% 0.96/1.33 maxnrvars = 195
% 0.96/1.33 excuselevel = 1
% 0.96/1.33 increasemaxweight = 1
% 0.96/1.33
% 0.96/1.33 maxselected = 10000000
% 0.96/1.33 maxnrclauses = 10000000
% 0.96/1.33
% 0.96/1.33 showgenerated = 0
% 0.96/1.33 showkept = 0
% 0.96/1.33 showselected = 0
% 0.96/1.33 showdeleted = 0
% 0.96/1.33 showresimp = 1
% 0.96/1.33 showstatus = 2000
% 0.96/1.33
% 0.96/1.33 prologoutput = 1
% 0.96/1.33 nrgoals = 5000000
% 0.96/1.33 totalproof = 1
% 0.96/1.33
% 0.96/1.33 Symbols occurring in the translation:
% 0.96/1.33
% 0.96/1.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.33 . [1, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.96/1.33 ! [4, 1] (w:0, o:65, a:1, s:1, b:0),
% 0.96/1.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Osemiring' [40, 1] (w:1, o:74, a:1, s:1, b:0)
% 0.96/1.33 ,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus' [41, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes' [42, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.96/1.33 hAPP [44, 2] (w:1, o:155, a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Oidom' [48, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.96/1.33 'class_Int_Onumber__ring' [49, 1] (w:1, o:78, a:1, s:1, b:0),
% 0.96/1.33 'class_RealVector_Oreal__normed__algebra' [54, 1] (w:1, o:79, a:1, s:
% 0.96/1.33 1, b:0),
% 0.96/1.33 'c_Lim_OLIM' [55, 5] (w:1, o:170, a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Ocomm__semiring__1' [56, 1] (w:1, o:82, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Ocomm__semiring' [61, 1] (w:1, o:83, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'class_Ring__and__Field_Oordered__ring__strict' [63, 1] (w:1, o:85
% 0.96/1.33 , a:1, s:1, b:0),
% 4.74/5.14 'c_HOL_Oord__class_Oless' [64, 3] (w:1, o:160, a:1, s:1, b:0),
% 4.74/5.14 'c_HOL_Ominus__class_Ominus' [66, 1] (w:1, o:86, a:1, s:1, b:0),
% 4.74/5.14 'class_RealVector_Oreal__normed__field' [67, 1] (w:1, o:87, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'c_COMBS' [68, 3] (w:1, o:161, a:1, s:1, b:0),
% 4.74/5.14 'tc_fun' [69, 2] (w:1, o:156, a:1, s:1, b:0),
% 4.74/5.14 'c_COMBB' [70, 3] (w:1, o:162, a:1, s:1, b:0),
% 4.74/5.14 'c_Deriv_Odifferentiable' [73, 3] (w:1, o:164, a:1, s:1, b:0),
% 4.74/5.14 'class_RealVector_Oreal__normed__vector' [75, 1] (w:1, o:88, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'class_RealVector_Ometric__space' [76, 1] (w:1, o:89, a:1, s:1, b:0)
% 4.74/5.14 ,
% 4.74/5.14 'c_Limits_Otendsto' [81, 5] (w:1, o:171, a:1, s:1, b:0),
% 4.74/5.14 'tc_nat' [82, 0] (w:1, o:37, a:1, s:1, b:0),
% 4.74/5.14 'c_HOL_Ozero__class_Ozero' [83, 1] (w:1, o:90, a:1, s:1, b:0),
% 4.74/5.14 'c_Suc' [85, 0] (w:1, o:39, a:1, s:1, b:0),
% 4.74/5.14 'class_RealVector_Oreal__field' [87, 1] (w:1, o:91, a:1, s:1, b:0),
% 4.74/5.14 'c_HOL_Oinverse__class_Odivide' [88, 1] (w:1, o:92, a:1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Ofield' [90, 1] (w:1, o:93, a:1, s:1, b:0),
% 4.74/5.14 'c_SEQ_OLIMSEQ' [93, 3] (w:1, o:165, a:1, s:1, b:0),
% 4.74/5.14 'c_COMBC' [94, 3] (w:1, o:163, a:1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Oordered__semidom' [99, 1] (w:1, o:94, a:1
% 4.74/5.14 , s:1, b:0),
% 4.74/5.14 'c_Nat_Osemiring__1__class_Oof__nat' [100, 2] (w:1, o:157, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'class_OrderedGroup_Ocomm__monoid__add' [101, 1] (w:1, o:96, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'c_Finite__Set_Osetsum' [102, 2] (w:1, o:158, a:1, s:1, b:0),
% 4.74/5.14 'c_SetInterval_Oord__class_OatLeastLessThan' [103, 3] (w:1, o:166, a:
% 4.74/5.14 1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Oordered__semiring__strict' [105, 1] (w:1, o:
% 4.74/5.14 97, a:1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Oordered__comm__semiring__strict' [106, 1]
% 4.74/5.14 (w:1, o:98, a:1, s:1, b:0),
% 4.74/5.14 'c_Power_Opower__class_Opower' [107, 1] (w:1, o:99, a:1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Osemiring__0' [108, 1] (w:1, o:100, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'class_Power_Opower' [109, 1] (w:1, o:119, a:1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Oordered__idom' [110, 1] (w:1, o:120, a:1, s:
% 4.74/5.14 1, b:0),
% 4.74/5.14 'class_OrderedGroup_Omonoid__add' [112, 1] (w:1, o:102, a:1, s:1, b:0
% 4.74/5.14 ),
% 4.74/5.14 'class_OrderedGroup_Ogroup__add' [113, 1] (w:1, o:103, a:1, s:1, b:0)
% 4.74/5.14 ,
% 4.74/5.14 'class_OrderedGroup_Oab__group__add' [114, 1] (w:1, o:104, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'class_OrderedGroup_Olordered__ab__group__add' [115, 1] (w:1, o:101
% 4.74/5.14 , a:1, s:1, b:0),
% 4.74/5.14 'class_OrderedGroup_Opordered__comm__monoid__add' [116, 1] (w:1, o:
% 4.74/5.14 105, a:1, s:1, b:0),
% 4.74/5.14 'class_OrderedGroup_Oab__semigroup__add' [119, 1] (w:1, o:106, a:1
% 4.74/5.14 , s:1, b:0),
% 4.74/5.14 'class_Orderings_Opreorder' [120, 1] (w:1, o:108, a:1, s:1, b:0),
% 4.74/5.14 'class_Orderings_Oorder' [121, 1] (w:1, o:107, a:1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Oring' [122, 1] (w:1, o:70, a:1, s:1, b:0),
% 4.74/5.14 'class_Orderings_Olinorder' [123, 1] (w:1, o:109, a:1, s:1, b:0),
% 4.74/5.14 hBOOL [125, 1] (w:1, o:121, a:1, s:1, b:0),
% 4.74/5.14 'class_RealVector_Oreal__normed__algebra__1' [126, 1] (w:1, o:122, a:
% 4.74/5.14 1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Oordered__field' [127, 1] (w:1, o:123, a:1
% 4.74/5.14 , s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Odivision__by__zero' [128, 1] (w:1, o:124, a:
% 4.74/5.14 1, s:1, b:0),
% 4.74/5.14 'class_OrderedGroup_Omonoid__mult' [131, 1] (w:1, o:110, a:1, s:1, b:
% 4.74/5.14 0),
% 4.74/5.14 'v_i' [132, 0] (w:1, o:51, a:1, s:1, b:0),
% 4.74/5.14 'v_n' [133, 0] (w:1, o:52, a:1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Ocomm__ring' [134, 1] (w:1, o:80, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'class_Ring__and__Field_Osemiring__1' [136, 1] (w:1, o:125, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'class_OrderedGroup_Opordered__ab__group__add' [137, 1] (w:1, o:111
% 4.74/5.14 , a:1, s:1, b:0),
% 4.74/5.14 'class_OrderedGroup_Ocancel__ab__semigroup__add' [138, 1] (w:1, o:112
% 4.74/5.14 , a:1, s:1, b:0),
% 4.74/5.14 'class_OrderedGroup_Ocancel__semigroup__add' [139, 1] (w:1, o:113, a:
% 4.74/5.14 1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Opordered__ring' [141, 1] (w:1, o:126, a:1
% 4.74/5.14 , s:1, b:0),
% 4.74/5.14 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [142, 1]
% 27.85/28.26 (w:1, o:114, a:1, s:1, b:0),
% 27.85/28.26 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [143, 1]
% 27.85/28.26 (w:1, o:115, a:1, s:1, b:0),
% 27.85/28.26 'class_Ring__and__Field_Ocomm__semiring__0' [144, 1] (w:1, o:81, a:1
% 27.85/28.26 , s:1, b:0),
% 27.85/28.26 'tc_Complex_Ocomplex' [145, 0] (w:1, o:55, a:1, s:1, b:0),
% 27.85/28.26 'c_FFT__Mirabelle_Oroot' [146, 1] (w:1, o:127, a:1, s:1, b:0),
% 27.85/28.26 'c_Series_Osuminf' [147, 2] (w:1, o:159, a:1, s:1, b:0),
% 27.85/28.26 'class_Ring__and__Field_Oring__1' [148, 1] (w:1, o:71, a:1, s:1, b:0)
% 27.85/28.26 ,
% 27.85/28.26 'c_FFT__Mirabelle_ODFT' [149, 3] (w:1, o:167, a:1, s:1, b:0),
% 27.85/28.26 'c_FFT__Mirabelle_OIDFT' [150, 3] (w:1, o:168, a:1, s:1, b:0),
% 27.85/28.26 'tc_bool' [151, 0] (w:1, o:56, a:1, s:1, b:0),
% 27.85/28.26 'class_Ring__and__Field_Oring__no__zero__divisors' [153, 1] (w:1, o:
% 27.85/28.26 72, a:1, s:1, b:0),
% 27.85/28.26 'class_Ring__and__Field_Omult__zero' [154, 1] (w:1, o:128, a:1, s:1
% 27.85/28.26 , b:0),
% 27.85/28.26 'class_OrderedGroup_Oab__semigroup__mult' [159, 1] (w:1, o:116, a:1
% 27.85/28.26 , s:1, b:0),
% 27.85/28.26 'class_OrderedGroup_Ocomm__monoid__mult' [160, 1] (w:1, o:117, a:1
% 27.85/28.26 , s:1, b:0),
% 27.85/28.26 'class_OrderedGroup_Oab__semigroup__idem__mult' [161, 1] (w:1, o:118
% 27.85/28.26 , a:1, s:1, b:0),
% 27.85/28.26 'class_Ring__and__Field_Ozero__neq__one' [162, 1] (w:1, o:129, a:1
% 27.85/28.26 , s:1, b:0),
% 27.85/28.26 'class_Ring__and__Field_Ono__zero__divisors' [163, 1] (w:1, o:84, a:1
% 27.85/28.26 , s:1, b:0),
% 27.85/28.26 'class_Ring__and__Field_Oring__1__no__zero__divisors' [164, 1] (w:1
% 27.85/28.26 , o:73, a:1, s:1, b:0),
% 27.85/28.26 'class_Nat_Osemiring__char__0' [165, 1] (w:1, o:95, a:1, s:1, b:0),
% 27.85/28.26 'v_a' [168, 0] (w:1, o:62, a:1, s:1, b:0),
% 27.85/28.26 'c_fequal' [171, 3] (w:1, o:169, a:1, s:1, b:0).
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Starting Search:
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 8826
% 27.85/28.26 Kept: 2191
% 27.85/28.26 Inuse: 120
% 27.85/28.26 Deleted: 1
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 16837
% 27.85/28.26 Kept: 4686
% 27.85/28.26 Inuse: 195
% 27.85/28.26 Deleted: 2
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 30458
% 27.85/28.26 Kept: 6748
% 27.85/28.26 Inuse: 229
% 27.85/28.26 Deleted: 2
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 39399
% 27.85/28.26 Kept: 8751
% 27.85/28.26 Inuse: 300
% 27.85/28.26 Deleted: 3
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 47061
% 27.85/28.26 Kept: 10943
% 27.85/28.26 Inuse: 363
% 27.85/28.26 Deleted: 3
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 61406
% 27.85/28.26 Kept: 13027
% 27.85/28.26 Inuse: 373
% 27.85/28.26 Deleted: 3
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 70747
% 27.85/28.26 Kept: 15064
% 27.85/28.26 Inuse: 433
% 27.85/28.26 Deleted: 3
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 80756
% 27.85/28.26 Kept: 17567
% 27.85/28.26 Inuse: 488
% 27.85/28.26 Deleted: 3
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 89212
% 27.85/28.26 Kept: 19592
% 27.85/28.26 Inuse: 533
% 27.85/28.26 Deleted: 3
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying clauses:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 97883
% 27.85/28.26 Kept: 21598
% 27.85/28.26 Inuse: 555
% 27.85/28.26 Deleted: 196
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 109887
% 27.85/28.26 Kept: 24906
% 27.85/28.26 Inuse: 562
% 27.85/28.26 Deleted: 196
% 27.85/28.26 Deletedinuse: 0
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 121785
% 27.85/28.26 Kept: 27357
% 27.85/28.26 Inuse: 592
% 27.85/28.26 Deleted: 203
% 27.85/28.26 Deletedinuse: 2
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 139565
% 27.85/28.26 Kept: 30277
% 27.85/28.26 Inuse: 622
% 27.85/28.26 Deleted: 203
% 27.85/28.26 Deletedinuse: 2
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 154648
% 27.85/28.26 Kept: 33157
% 27.85/28.26 Inuse: 632
% 27.85/28.26 Deleted: 203
% 27.85/28.26 Deletedinuse: 2
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 27.85/28.26 Done
% 27.85/28.26
% 27.85/28.26
% 27.85/28.26 Intermediate Status:
% 27.85/28.26 Generated: 177252
% 27.85/28.26 Kept: 36653
% 27.85/28.26 Inuse: 662
% 27.85/28.26 Deleted: 203
% 27.85/28.26 Deletedinuse: 2
% 27.85/28.26
% 27.85/28.26 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 194960
% 91.42/91.83 Kept: 38728
% 91.42/91.83 Inuse: 714
% 91.42/91.83 Deleted: 207
% 91.42/91.83 Deletedinuse: 3
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 203292
% 91.42/91.83 Kept: 40999
% 91.42/91.83 Inuse: 734
% 91.42/91.83 Deleted: 208
% 91.42/91.83 Deletedinuse: 4
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying clauses:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 212483
% 91.42/91.83 Kept: 43017
% 91.42/91.83 Inuse: 764
% 91.42/91.83 Deleted: 451
% 91.42/91.83 Deletedinuse: 5
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 225075
% 91.42/91.83 Kept: 45618
% 91.42/91.83 Inuse: 794
% 91.42/91.83 Deleted: 452
% 91.42/91.83 Deletedinuse: 6
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 242734
% 91.42/91.83 Kept: 48276
% 91.42/91.83 Inuse: 804
% 91.42/91.83 Deleted: 452
% 91.42/91.83 Deletedinuse: 6
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 258877
% 91.42/91.83 Kept: 50470
% 91.42/91.83 Inuse: 814
% 91.42/91.83 Deleted: 452
% 91.42/91.83 Deletedinuse: 6
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 267353
% 91.42/91.83 Kept: 52591
% 91.42/91.83 Inuse: 849
% 91.42/91.83 Deleted: 452
% 91.42/91.83 Deletedinuse: 6
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 276976
% 91.42/91.83 Kept: 54592
% 91.42/91.83 Inuse: 879
% 91.42/91.83 Deleted: 452
% 91.42/91.83 Deletedinuse: 6
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 287185
% 91.42/91.83 Kept: 56841
% 91.42/91.83 Inuse: 914
% 91.42/91.83 Deleted: 452
% 91.42/91.83 Deletedinuse: 6
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 295699
% 91.42/91.83 Kept: 58843
% 91.42/91.83 Inuse: 948
% 91.42/91.83 Deleted: 452
% 91.42/91.83 Deletedinuse: 6
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 327797
% 91.42/91.83 Kept: 62850
% 91.42/91.83 Inuse: 974
% 91.42/91.83 Deleted: 452
% 91.42/91.83 Deletedinuse: 6
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying clauses:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 339372
% 91.42/91.83 Kept: 65691
% 91.42/91.83 Inuse: 984
% 91.42/91.83 Deleted: 771
% 91.42/91.83 Deletedinuse: 6
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 349699
% 91.42/91.83 Kept: 67896
% 91.42/91.83 Inuse: 1014
% 91.42/91.83 Deleted: 775
% 91.42/91.83 Deletedinuse: 10
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 357914
% 91.42/91.83 Kept: 70166
% 91.42/91.83 Inuse: 1024
% 91.42/91.83 Deleted: 776
% 91.42/91.83 Deletedinuse: 11
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 367346
% 91.42/91.83 Kept: 72740
% 91.42/91.83 Inuse: 1049
% 91.42/91.83 Deleted: 776
% 91.42/91.83 Deletedinuse: 11
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 396569
% 91.42/91.83 Kept: 76121
% 91.42/91.83 Inuse: 1054
% 91.42/91.83 Deleted: 776
% 91.42/91.83 Deletedinuse: 11
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 404402
% 91.42/91.83 Kept: 78364
% 91.42/91.83 Inuse: 1074
% 91.42/91.83 Deleted: 776
% 91.42/91.83 Deletedinuse: 11
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 413167
% 91.42/91.83 Kept: 80734
% 91.42/91.83 Inuse: 1094
% 91.42/91.83 Deleted: 776
% 91.42/91.83 Deletedinuse: 11
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 431774
% 91.42/91.83 Kept: 83229
% 91.42/91.83 Inuse: 1109
% 91.42/91.83 Deleted: 776
% 91.42/91.83 Deletedinuse: 11
% 91.42/91.83
% 91.42/91.83 Resimplifying clauses:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 473749
% 91.42/91.83 Kept: 88579
% 91.42/91.83 Inuse: 1129
% 91.42/91.83 Deleted: 1240
% 91.42/91.83 Deletedinuse: 11
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 483303
% 91.42/91.83 Kept: 91099
% 91.42/91.83 Inuse: 1149
% 91.42/91.83 Deleted: 1240
% 91.42/91.83 Deletedinuse: 11
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 493255
% 91.42/91.83 Kept: 93264
% 91.42/91.83 Inuse: 1169
% 91.42/91.83 Deleted: 1243
% 91.42/91.83 Deletedinuse: 14
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 504525
% 91.42/91.83 Kept: 95650
% 91.42/91.83 Inuse: 1179
% 91.42/91.83 Deleted: 1244
% 91.42/91.83 Deletedinuse: 15
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83
% 91.42/91.83 Intermediate Status:
% 91.42/91.83 Generated: 516305
% 91.42/91.83 Kept: 98204
% 91.42/91.83 Inuse: 1194
% 91.42/91.83 Deleted: 1244
% 91.42/91.83 Deletedinuse: 15
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 91.42/91.83 Done
% 91.42/91.83
% 91.42/91.83 Resimplifying inuse:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34
% 243.63/244.34 Intermediate Status:
% 243.63/244.34 Generated: 525701
% 243.63/244.34 Kept: 100209
% 243.63/244.34 Inuse: 1211
% 243.63/244.34 Deleted: 1244
% 243.63/244.34 Deletedinuse: 15
% 243.63/244.34
% 243.63/244.34 Resimplifying inuse:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34
% 243.63/244.34 Intermediate Status:
% 243.63/244.34 Generated: 534489
% 243.63/244.34 Kept: 102370
% 243.63/244.34 Inuse: 1219
% 243.63/244.34 Deleted: 1244
% 243.63/244.34 Deletedinuse: 15
% 243.63/244.34
% 243.63/244.34 Resimplifying inuse:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34 Resimplifying clauses:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34 Resimplifying inuse:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34
% 243.63/244.34 Intermediate Status:
% 243.63/244.34 Generated: 547091
% 243.63/244.34 Kept: 104852
% 243.63/244.34 Inuse: 1239
% 243.63/244.34 Deleted: 1536
% 243.63/244.34 Deletedinuse: 15
% 243.63/244.34
% 243.63/244.34 Resimplifying inuse:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34 Resimplifying inuse:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34
% 243.63/244.34 Intermediate Status:
% 243.63/244.34 Generated: 562453
% 243.63/244.34 Kept: 106934
% 243.63/244.34 Inuse: 1268
% 243.63/244.34 Deleted: 1538
% 243.63/244.34 Deletedinuse: 17
% 243.63/244.34
% 243.63/244.34 Resimplifying inuse:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34
% 243.63/244.34 Intermediate Status:
% 243.63/244.34 Generated: 593731
% 243.63/244.34 Kept: 112077
% 243.63/244.34 Inuse: 1283
% 243.63/244.34 Deleted: 1540
% 243.63/244.34 Deletedinuse: 18
% 243.63/244.34
% 243.63/244.34 Resimplifying inuse:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34
% 243.63/244.34 Intermediate Status:
% 243.63/244.34 Generated: 618957
% 243.63/244.34 Kept: 115605
% 243.63/244.34 Inuse: 1288
% 243.63/244.34 Deleted: 1540
% 243.63/244.34 Deletedinuse: 18
% 243.63/244.34
% 243.63/244.34 Resimplifying inuse:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34 Resimplifying inuse:
% 243.63/244.34 Done
% 243.63/244.34
% 243.63/244.34
% 243.63/244.34 Intermediate Status:
% 243.63/244.35 Generated: 630660
% 243.63/244.35 Kept: 117735
% 243.63/244.35 Inuse: 1308
% 243.63/244.35 Deleted: 1540
% 243.63/244.35 Deletedinuse: 18
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 653016
% 243.63/244.35 Kept: 120412
% 243.63/244.35 Inuse: 1323
% 243.63/244.35 Deleted: 1540
% 243.63/244.35 Deletedinuse: 18
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 669181
% 243.63/244.35 Kept: 122463
% 243.63/244.35 Inuse: 1328
% 243.63/244.35 Deleted: 1541
% 243.63/244.35 Deletedinuse: 19
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying clauses:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 701067
% 243.63/244.35 Kept: 126309
% 243.63/244.35 Inuse: 1338
% 243.63/244.35 Deleted: 1908
% 243.63/244.35 Deletedinuse: 19
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 719053
% 243.63/244.35 Kept: 128388
% 243.63/244.35 Inuse: 1347
% 243.63/244.35 Deleted: 1908
% 243.63/244.35 Deletedinuse: 19
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 734435
% 243.63/244.35 Kept: 130408
% 243.63/244.35 Inuse: 1349
% 243.63/244.35 Deleted: 1908
% 243.63/244.35 Deletedinuse: 19
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 751269
% 243.63/244.35 Kept: 133119
% 243.63/244.35 Inuse: 1363
% 243.63/244.35 Deleted: 1908
% 243.63/244.35 Deletedinuse: 19
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 773080
% 243.63/244.35 Kept: 137025
% 243.63/244.35 Inuse: 1378
% 243.63/244.35 Deleted: 1910
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 788167
% 243.63/244.35 Kept: 139179
% 243.63/244.35 Inuse: 1402
% 243.63/244.35 Deleted: 1911
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 806523
% 243.63/244.35 Kept: 142523
% 243.63/244.35 Inuse: 1407
% 243.63/244.35 Deleted: 1911
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 815341
% 243.63/244.35 Kept: 145209
% 243.63/244.35 Inuse: 1417
% 243.63/244.35 Deleted: 1911
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying clauses:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 824381
% 243.63/244.35 Kept: 147882
% 243.63/244.35 Inuse: 1427
% 243.63/244.35 Deleted: 2075
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 845770
% 243.63/244.35 Kept: 152441
% 243.63/244.35 Inuse: 1437
% 243.63/244.35 Deleted: 2075
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 861364
% 243.63/244.35 Kept: 154627
% 243.63/244.35 Inuse: 1457
% 243.63/244.35 Deleted: 2075
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 875081
% 243.63/244.35 Kept: 156834
% 243.63/244.35 Inuse: 1482
% 243.63/244.35 Deleted: 2075
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 887697
% 243.63/244.35 Kept: 158962
% 243.63/244.35 Inuse: 1502
% 243.63/244.35 Deleted: 2075
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 902210
% 243.63/244.35 Kept: 161281
% 243.63/244.35 Inuse: 1522
% 243.63/244.35 Deleted: 2075
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 914895
% 243.63/244.35 Kept: 163640
% 243.63/244.35 Inuse: 1542
% 243.63/244.35 Deleted: 2075
% 243.63/244.35 Deletedinuse: 21
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying inuse:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35 Resimplifying clauses:
% 243.63/244.35 Done
% 243.63/244.35
% 243.63/244.35
% 243.63/244.35 Intermediate Status:
% 243.63/244.35 Generated: 930126
% 243.63/244.35 Kept: 165911
% 243.63/244.35 Inuse: 1562
% 243.63/244.35 DCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------