TSTP Solution File: ALG365-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 : Thu Jul 14 12:10:32 EDT 2022
% Result : Unsatisfiable 2.09s 2.50s
% Output : Refutation 2.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.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 : Wed Jun 8 11:28:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.80/1.21 *** allocated 10000 integers for termspace/termends
% 0.80/1.21 *** allocated 10000 integers for clauses
% 0.80/1.21 *** allocated 10000 integers for justifications
% 0.80/1.21 Bliksem 1.12
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Automatic Strategy Selection
% 0.80/1.21
% 0.80/1.21 Clauses:
% 0.80/1.21 [
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 0.80/1.21 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 0.80/1.21 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 0.80/1.21 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 0.80/1.21 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.80/1.21 'c_Limits_Otendsto'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), U ), T ), W, Z, X ), ~(
% 0.80/1.21 'c_Limits_Otendsto'( Y, U, W, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 0.80/1.21 X, X ), Z ), T, Z, X, X ), U, Z, X ), ~( 'c_Limits_OZfun'( Y, U, Z, X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 0.80/1.21 X, X ), Z ), T, Z, X, X ), U, Z, X ), ~( 'c_Limits_OZfun'( Y, U, Z, X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 0.80/1.21 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 0.80/1.21 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), T
% 0.80/1.21 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 0.80/1.21 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 0.80/1.21 X ), Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 0.80/1.21 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 0.80/1.21 X ), Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), 'c_Finite__Set_Osetsum'( Y, Z
% 0.80/1.21 , T, 'tc_RealDef_Oreal' ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y,
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_fun'( X, X ), T ), U, T, X, X ), Z, T, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_OscaleR__class_OscaleR'( X ), Z,
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_fun'( X, X ), Y ), T, Y, X, X ), U, hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), W ), T ), Y, X ), ~(
% 0.80/1.21 'c_Lim_OLIM'( Z, U, W, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBC'( 'c_COMBB'( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y,
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), ~(
% 0.80/1.21 'c_Limits_OZfun'( Y, U, Z, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBC'( 'c_COMBB'( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y,
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), ~(
% 0.80/1.21 'c_Limits_OZfun'( Y, U, Z, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Limits_Otendsto'( 'c_COMBC'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y, 'tc_RealDef_Oreal',
% 0.80/1.21 'tc_fun'( X, X ), Z ), T, Z, X, X ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), U ), T ), W, Z, X ), ~(
% 0.80/1.21 'c_Limits_Otendsto'( Y, U, W, Z, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_SEQ_OCauchy'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, 'tc_nat' ), X )
% 0.80/1.21 , ~( 'c_SEQ_OCauchy'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisUCont'(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 0.80/1.21 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X )
% 0.80/1.21 , ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 0.80/1.21 [ ~( 'class_SEQ_Obanach'( X ) ), 'c_Series_Osummable'( Y, X ), ~(
% 0.80/1.21 'c_Series_Osummable'( 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ),
% 0.80/1.21 Y, X, 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( hAPP(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), =( hAPP(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__div__algebra'( Y ) ), 'c_Lim_OisCont'(
% 0.80/1.21 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( Y ), Z, Y, Y, X ), T, X, Y )
% 0.80/1.21 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( Y ) ), ~( 'c_Lim_OisCont'(
% 0.80/1.21 Z, T, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.80/1.21 'c_Deriv_Odifferentiable'( 'c_COMBK'( Y, X, X ), Z, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'( Y,
% 0.80/1.21 X ), ~( 'c_SEQ_OZseq'( 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X )
% 0.80/1.21 , Y, X, 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y, X,
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OZseq'( Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 0.80/1.21 'tc_nat' ), X ), ~( 'c_SEQ_OCauchy'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_OscaleR__class_OscaleR'( X ), Z,
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_fun'( X, X ), Y ), T, Y, X, X ), U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_OscaleR__class_OscaleR'( X ), Z,
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_fun'( X, X ), Y ), T, Y, X, X ), U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OZseq'( 'c_COMBK'( Y, X,
% 0.80/1.21 'tc_nat' ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 0.80/1.21 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y, X,
% 0.80/1.21 'tc_RealDef_Oreal', Z ), T, Z, 'tc_RealDef_Oreal' ), ~( 'c_Limits_OZfun'(
% 0.80/1.21 Y, T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 Y, Z, T, X ), ~( 'c_Limits_OZfun'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X ), Y, X, 'tc_RealDef_Oreal', T ), Z
% 0.80/1.21 , T, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( 'c_COMBK'( Z,
% 0.80/1.21 Y, X ), T, X, Y ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, Z ), T, Z, X ),
% 0.80/1.21 ~( 'c_Limits_OZfun'( Y, T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ), Z ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisUCont'( Z, X,
% 0.80/1.21 Y ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 0.80/1.21 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 0.80/1.21 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.80/1.21 [ 'c_Limits_OZfun'( 'c_COMBB'( 'c_Complex_ORe', X, 'tc_Complex_Ocomplex'
% 0.80/1.21 , 'tc_RealDef_Oreal', Y ), Z, Y, 'tc_RealDef_Oreal' ), ~(
% 0.80/1.21 'c_Limits_OZfun'( X, Z, Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ 'c_SEQ_OCauchy'( 'c_COMBB'( 'c_Complex_ORe', X, 'tc_Complex_Ocomplex'
% 0.80/1.21 , 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal' ), ~(
% 0.80/1.21 'c_SEQ_OCauchy'( X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.80/1.21 ), Y ) ), Z ) ), Z ) ],
% 0.80/1.21 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.80/1.21 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 0.80/1.21 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.80/1.21 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Z, 'tc_RealDef_Oreal', X, Y ), T,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, T,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 0.80/1.21 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Lim_OLIM'( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ), X, X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.80/1.21 'c_RealVector_Obounded__linear'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.80/1.21 , Y ), X, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.21 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Limits_Otendsto'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X
% 0.80/1.21 , X, Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), T ), U, Z, X ), ~(
% 0.80/1.21 'c_Limits_Otendsto'( Y, T, U, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Limits_Otendsto'( Y, Z, T, U, X ), ~( 'c_Limits_Otendsto'( 'c_COMBB'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, U ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), T, U, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 0.80/1.21 Y, X, Z ), W, 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_Lim_OLIM'( U
% 0.80/1.21 , W, 'c_HOL_Ozero__class_Ozero'( Y ), Z, Y ) ), ~(
% 0.80/1.21 'c_RealVector_Obounded__linear'( T, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ],
% 0.80/1.21 [ 'c_Lim_OLIM'( 'c_Complex_ORe', X, hAPP( 'c_Complex_ORe', X ),
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Series_Osummable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y,
% 0.80/1.21 X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 'class_HOL_Ozero'( X )
% 0.80/1.21 ), ~( 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), ~(
% 0.80/1.21 'c_Lim_OLIM'( 'c_COMBK'( Z, X, Y ), T, 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.80/1.21 , X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), 'c_Series_Osuminf'( Z, X
% 0.80/1.21 ) ), 'c_Series_Osuminf'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X, 'tc_nat' ), X )
% 0.80/1.21 ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.80/1.21 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.80/1.21 'c_RealVector_Obounded__linear'( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y, X, X, X ), X, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_Limits_OZfun'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, Z ), T, Z, X ),
% 0.80/1.21 ~( 'c_Limits_OZfun'( Y, T, Z, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.80/1.21 'c_Limits_Otendsto'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.80/1.21 Y ), Z, X, X, T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U
% 0.80/1.21 ), W, T, X ), ~( 'c_Limits_Otendsto'( Z, U, W, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X
% 0.80/1.21 , T ), U, T, X ), ~( 'c_Limits_OZfun'( Z, U, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X
% 0.80/1.21 , T ), U, T, X ), ~( 'c_Limits_OZfun'( Z, U, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ),
% 0.80/1.21 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 X ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ),
% 0.80/1.21 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'c_SEQ_OZseq'( 'c_COMBB'( 'c_Complex_ORe', X, 'tc_Complex_Ocomplex',
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OZseq'( X
% 0.80/1.21 , 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ),
% 0.80/1.21 'c_Series_Osuminf'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y
% 0.80/1.21 ), Z, X, X, 'tc_nat' ), X ) ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_Series_Osuminf'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y
% 0.80/1.21 ), Z, X, X, 'tc_nat' ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.80/1.21 ), Y ), 'c_Series_Osuminf'( Z, X ) ) ), ~( 'c_Series_Osummable'( Z, X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ =( hAPP( 'c_Complex_ORe', 'c_Series_Osuminf'( X, 'tc_Complex_Ocomplex'
% 0.80/1.21 ) ), 'c_Series_Osuminf'( 'c_COMBB'( 'c_Complex_ORe', X,
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 0.80/1.21 ) ), ~( 'c_Series_Osummable'( X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.80/1.21 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 0.80/1.21 U, W, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 0.80/1.21 'c_Complex_ORe', Y, 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', X ), Z,
% 0.80/1.21 hAPP( 'c_Complex_ORe', T ), X, 'tc_RealDef_Oreal' ), ~( 'c_Lim_OLIM'( Y,
% 0.80/1.21 Z, T, X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.80/1.21 'c_Deriv_Odifferentiable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X )
% 0.80/1.21 , Y, X, X, X ), Z, X ), ~( 'c_Deriv_Odifferentiable'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.80/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.80/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.80/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 X ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), ~( 'c_Lim_OLIM'(
% 0.80/1.21 'c_COMBK'( Z, X, Y ), T, U, Y, X ) ), =( Z, U ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 0.80/1.21 'c_Lim_OLIM'( 'c_COMBK'( Z, X, Y ), U, T, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 0.80/1.21 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 0.80/1.21 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 0.80/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 0.80/1.21 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 0.80/1.21 'c_Suc', Y ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Z, X, X, Y ), T, hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), U ), Y, X ), =( U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Lim_OLIM'( Z, T, U, Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 0.80/1.21 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( Y ), Z, Y, Y, X ), T, X, Y ),
% 0.80/1.21 ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_Series_Osuminf'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X
% 0.80/1.21 , X, 'tc_nat' ), X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.80/1.21 'c_Series_Osuminf'( Y, X ) ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.80/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Series_Osummable'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X,
% 0.80/1.21 'tc_nat' ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_Limits_Otendsto'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, Z ),
% 0.80/1.21 hAPP( 'c_RealVector_Oof__real'( X ), T ), U, Z, X ), ~(
% 0.80/1.21 'c_Limits_Otendsto'( Y, T, U, Z, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 0.80/1.21 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, 'tc_nat' ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OisCont'(
% 0.80/1.21 Z, T, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 0.80/1.21 ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T )
% 0.80/1.21 , X, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.80/1.21 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 0.80/1.21 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 0.80/1.21 ~( 'c_Lim_OisUCont'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T, X, X, Y ), U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T, X, X, Y ), U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X
% 0.80/1.21 , 'tc_nat' ), hAPP( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y )
% 0.80/1.21 , T ), X ), ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 0.80/1.21 [ 'c_Lim_OisCont'( 'c_Complex_ORe', X, 'tc_Complex_Ocomplex',
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Series_Osummable'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X, 'tc_nat' ), X )
% 0.80/1.21 , ~( 'c_Series_Osummable'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Y ), hAPP( 'c_RealVector_Oof__real'( X ),
% 0.80/1.21 Z ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, Y ), T, hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T,
% 0.80/1.21 U, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_Series_Osuminf'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X,
% 0.80/1.21 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_SEQ_OZseq'( 'c_COMBB'(
% 0.80/1.21 Z, T, X, Y, 'tc_nat' ), Y ), ~( 'c_SEQ_OZseq'( T, X ) ), ~(
% 0.80/1.21 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 0.80/1.21 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 0.80/1.21 , ~( 'c_Lim_OisCont'( T, V0, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Z, 'tc_RealDef_Oreal', X, Y ), T, hAPP(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ =( hAPP( 'c_Complex_ORe', 'c_Finite__Set_Osetsum'( X, Y, Z,
% 0.80/1.21 'tc_Complex_Ocomplex' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 0.80/1.21 'c_Complex_ORe', X, 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', Z ), Y, Z
% 0.80/1.21 , 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 0.80/1.21 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 0.80/1.21 , ~( 'c_RealVector_Obounded__linear'( T, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, T ), U
% 0.80/1.21 , T, X ), ~( 'c_Limits_OZfun'( Z, U, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, T ), U
% 0.80/1.21 , T, X ), ~( 'c_Limits_OZfun'( Z, U, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.80/1.21 'c_Deriv_Odifferentiable'( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X
% 0.80/1.21 ), Y, X, X, X ), Z, X ), =( hAPP( Y, Z ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ), ~( 'c_Deriv_Odifferentiable'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Limits_Otendsto'(
% 0.80/1.21 'c_COMBB'( Z, T, Y, X, U ), hAPP( Z, W ), V0, U, X ), ~(
% 0.80/1.21 'c_Limits_Otendsto'( T, W, V0, U, Y ) ), ~(
% 0.80/1.21 'c_RealVector_Obounded__linear'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 0.80/1.21 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, X, X ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X ), Z, X, 'tc_RealDef_Oreal', Y ), T
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.80/1.21 ), ~( 'c_Lim_OLIM'( Z, T, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X ), Z, X, 'tc_RealDef_Oreal', Y ), T
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.80/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), T ) ) ],
% 0.80/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.80/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.80/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), T ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.80/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_RealVector_Oof__real'( X ), Y
% 0.80/1.21 ) ), Z ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.80/1.21 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.80/1.21 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Series_Osummable'(
% 0.80/1.21 'c_COMBB'( Z, T, X, Y, 'tc_nat' ), Y ), ~( 'c_Series_Osummable'( T, X ) )
% 0.80/1.21 , ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 0.80/1.21 'c_Limits_Otendsto'( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 0.80/1.21 , X, X, Z ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), T ), U, Z, X )
% 0.80/1.21 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Limits_Otendsto'( Y, T,
% 0.80/1.21 U, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y,
% 0.80/1.21 'c_SEQ_Olim'( Y, X ), X ), ~( 'c_SEQ_Oconvergent'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_Oconvergent'( Y, X
% 0.80/1.21 ), ~( 'c_SEQ_OLIMSEQ'( Y, 'c_SEQ_Olim'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.80/1.21 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.80/1.21 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.80/1.21 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'( Z, T, X
% 0.80/1.21 , Y ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), =( hAPP(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), 'c_Series_Osuminf'( Y, 'tc_RealDef_Oreal'
% 0.80/1.21 ) ), 'c_Series_Osuminf'( 'c_COMBB'( 'c_RealVector_Oof__real'( X ), Y,
% 0.80/1.21 'tc_RealDef_Oreal', X, 'tc_nat' ), X ) ), ~( 'c_Series_Osummable'( Y,
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 'c_SEQ_Olim'(
% 0.80/1.21 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X )
% 0.80/1.21 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_SEQ_Olim'( Y, X ) ) ),
% 0.80/1.21 ~( 'c_SEQ_Oconvergent'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), 'c_Finite__Set_Osetsum'(
% 0.80/1.21 Z, T, U, X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X, U ), T, U, X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'c_Series_Osummable'( 'c_COMBB'( 'c_Complex_ORe', X,
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 0.80/1.21 ), ~( 'c_Series_Osummable'( X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X ), Z, X, 'tc_RealDef_Oreal', Y ), T
% 0.80/1.21 , hAPP( 'c_RealVector_Onorm__class_Onorm'( X ), U ), Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_Lim_OLIM'( Z, T, U, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_SEQ_Oconvergent'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X
% 0.80/1.21 , X, 'tc_nat' ), X ), ~( 'c_SEQ_Oconvergent'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_SEQ_Oconvergent'( Y, X ), ~( 'c_SEQ_Oconvergent'( 'c_COMBB'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), 'c_Lim_OLIM'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y, hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X, X ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBB'( Z, T, Y, X, U ), W, U, X ), ~( 'c_Limits_OZfun'( T, W, U, Y )
% 0.80/1.21 ), ~( 'c_RealVector_Obounded__linear'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisUCont'(
% 0.80/1.21 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), X, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 0.80/1.21 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, 'tc_nat' ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.80/1.21 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.80/1.21 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.80/1.21 Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.80/1.21 Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.80/1.21 Y ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.80/1.21 Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.80/1.21 Y ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.80/1.21 Y ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.80/1.21 Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ), Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ) ) ],
% 0.80/1.21 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ), Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ), Y ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_Series_Osummable'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X,
% 0.80/1.21 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Y, 'tc_RealDef_Oreal' ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), 'c_Lim_OisCont'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_Oof__real'( Y ), Z, 'tc_RealDef_Oreal', Y, X ),
% 0.80/1.21 T, X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), =( hAPP( Z, hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), T ), U ) ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y ), T ), hAPP( Z, U ) ) ), ~(
% 0.80/1.21 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_SEQ_OCauchy'( 'c_COMBB'( Z,
% 0.80/1.21 T, X, Y, 'tc_nat' ), Y ), ~( 'c_SEQ_OCauchy'( T, X ) ), ~(
% 0.80/1.21 'c_Lim_OisUCont'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 0.80/1.21 , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 0.80/1.21 ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 0.80/1.21 Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 0.80/1.21 ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 0.80/1.21 , T, hAPP( Z, T ), X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.80/1.21 'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.80/1.21 , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.80/1.21 'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.80/1.21 , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 0.80/1.21 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.80/1.21 , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 0.80/1.21 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.80/1.21 , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 0.80/1.21 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y ), Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Lim_OisCont'(
% 0.80/1.21 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Limits_Otendsto'( 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y
% 0.80/1.21 , X, 'tc_RealDef_Oreal', Z ), hAPP( 'c_RealVector_Onorm__class_Onorm'( X
% 0.80/1.21 ), T ), U, Z, 'tc_RealDef_Oreal' ), ~( 'c_Limits_Otendsto'( Y, T, U, Z,
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 0.80/1.21 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'tc_nat' ), X ), Y ) ) ) ],
% 0.80/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 0.80/1.21 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'tc_nat' ), X ), Y ) ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.21 'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 0.80/1.21 ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X ), Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_SEQ_OZseq'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, 'tc_nat' ), X )
% 0.80/1.21 , ~( 'c_SEQ_OZseq'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Otopological__space'( X ) ), 'c_Limits_Otendsto'(
% 0.80/1.21 'c_COMBK'( Y, X, Z ), Y, T, Z, X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.80/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBK'( Z, X,
% 0.80/1.21 Y ), T, Z, Y, X ) ],
% 0.80/1.21 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 0.80/1.21 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), =( hAPP(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T,
% 0.80/1.21 'tc_RealDef_Oreal' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, T ), Z, T, X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.80/1.21 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.80/1.21 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Series_Osummable'( 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X
% 0.80/1.21 ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T, X, X, Y ), U, hAPP(
% 0.80/1.21 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), W ), Y, X ), ~(
% 0.80/1.21 'c_Lim_OLIM'( T, U, W, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.80/1.21 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.80/1.21 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'c_Limits_Otendsto'( 'c_COMBB'( 'c_Complex_ORe', X,
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', Y ), hAPP( 'c_Complex_ORe', Z
% 0.80/1.21 ), T, Y, 'tc_RealDef_Oreal' ), ~( 'c_Limits_Otendsto'( X, Z, T, Y,
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Series_Osums'(
% 0.80/1.21 'c_COMBB'( Z, T, X, Y, 'tc_nat' ), hAPP( Z, U ), Y ), ~( 'c_Series_Osums'(
% 0.80/1.21 T, U, X ) ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.80/1.21 'c_Series_Osuminf'( Z, X ) ), ~( 'c_Series_Osums'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_Series_Osuminf'( Y, X ), Z ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 0.80/1.21 [ 'c_Series_Osums'( 'c_COMBB'( 'c_Complex_ORe', X, 'tc_Complex_Ocomplex'
% 0.80/1.21 , 'tc_RealDef_Oreal', 'tc_nat' ), hAPP( 'c_Complex_ORe', Y ),
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_Series_Osums'( X, Y, 'tc_Complex_Ocomplex' )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.80/1.21 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.80/1.21 [ =( 'c_Complex_Ocomplex_OComplex'( hAPP( 'c_Complex_ORe', X ), hAPP(
% 0.80/1.21 'c_Complex_OIm', X ) ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_SEQ_Ocomplete__space'( X ) ), 'c_SEQ_OCauchy'( Y, X ), ~(
% 0.80/1.21 'c_SEQ_Oconvergent'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_SEQ_Ocomplete__space'( X ) ), 'c_SEQ_Oconvergent'( Y, X ),
% 0.80/1.21 ~( 'c_SEQ_OCauchy'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Lim_OisUCont'(
% 0.80/1.21 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), X, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OCauchy'( Y, X ),
% 0.80/1.21 ~( 'c_SEQ_Oconvergent'( Y, X ) ) ],
% 0.80/1.21 [ 'c_SEQ_Oconvergent'( X, 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OCauchy'( X,
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 0.80/1.21 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_Series_Osums'( Y, Z
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP(
% 0.80/1.21 Z, T ), X, Y ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X
% 0.80/1.21 , 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X
% 0.80/1.21 , 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 0.80/1.21 Y, 'c_Series_Osuminf'( Y, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'c_Series_Osummable'( Y, X ) ), 'c_Series_Osums'( Y, 'c_Series_Osuminf'(
% 0.80/1.21 Y, X ), X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_SEQ_OCauchy'(
% 0.80/1.21 'c_COMBB'( Z, T, X, Y, 'tc_nat' ), Y ), ~( 'c_SEQ_OCauchy'( T, X ) ), ~(
% 0.80/1.21 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 0.80/1.21 ~( 'c_Lim_OLIM'( Z, T, hAPP( Z, T ), X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 0.80/1.21 ), X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ), Y ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ), Z ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_Limits_Otendsto'( 'c_COMBB'( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X, T ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), U ), W, T, X ), ~(
% 0.80/1.21 'c_Limits_Otendsto'( Z, U, W, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OCauchy'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X
% 0.80/1.21 , 'tc_nat' ), X ), ~( 'c_SEQ_OCauchy'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ), hAPP( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), T ), Z ) ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 0.80/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'c_Lim_OisUCont'( 'c_Complex_ORe', 'tc_Complex_Ocomplex',
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ =( hAPP( 'c_Complex_ORe', 'c_Complex_Ocomplex_OComplex'( X, Y ) ), X )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_Series_Osums'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, 'tc_nat' ), hAPP(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Z ), X ), ~( 'c_Series_Osums'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), =( hAPP( Z,
% 0.80/1.21 'c_Series_Osuminf'( T, X ) ), 'c_Series_Osuminf'( 'c_COMBB'( Z, T, X, Y,
% 0.80/1.21 'tc_nat' ), Y ) ), ~( 'c_Series_Osummable'( T, X ) ), ~(
% 0.80/1.21 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( Y ), Z, Y,
% 0.80/1.21 'tc_RealDef_Oreal', X ), T, X, 'tc_RealDef_Oreal' ), ~( 'c_Lim_OisCont'(
% 0.80/1.21 Z, T, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.21 'c_RealVector_Obounded__linear'( hAPP(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), X, X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.80/1.21 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.80/1.21 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.80/1.21 [ 'c_Lim_OLIM'( 'c_Complex_OIm', X, hAPP( 'c_Complex_OIm', X ),
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'c_Lim_OisUCont'( 'c_Complex_OIm', 'tc_Complex_Ocomplex',
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', X, 'tc_Complex_Ocomplex'
% 0.80/1.21 , 'tc_RealDef_Oreal', 'tc_nat' ), hAPP( 'c_Complex_OIm', Y ),
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OLIMSEQ'( X, Y, 'tc_Complex_Ocomplex' ) )
% 0.80/1.21 ],
% 0.80/1.21 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.80/1.21 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z,
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 0.80/1.21 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 X ), Y, X, X, 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ 'v_thesis____', ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm',
% 0.80/1.21 'c_COMBB'( 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat',
% 0.80/1.21 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), X,
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_Oconvergent'( Y, X
% 0.80/1.21 ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_Oconvergent'( Y, X
% 0.80/1.21 ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( =( hAPP( 'c_Complex_OIm', X ), hAPP( 'c_Complex_OIm', Y ) ) ), ~(
% 0.80/1.21 =( hAPP( 'c_Complex_ORe', X ), hAPP( 'c_Complex_ORe', Y ) ) ), =( X, Y )
% 0.80/1.21 ],
% 0.80/1.21 [ 'c_SEQ_Oconvergent'( 'c_COMBB'( 'c_Complex_ORe', 'c_COMBB'( 'v_s',
% 0.80/1.21 'v_f____', 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 0.80/1.21 'c_SEQ_OLIMSEQ'( 'c_COMBK'( Y, X, 'tc_nat' ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 0.80/1.21 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 0.80/1.21 , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( X ), Y, X, 'tc_RealDef_Oreal',
% 0.80/1.21 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y, X,
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ 'c_SEQ_Osubseq'( 'v_ga____' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y, X,
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_nat' ), hAPP( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.21 X ), Z ), 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 0.80/1.21 [ =( hAPP( 'c_Complex_OIm', 'c_Complex_Ocomplex_OComplex'( X, Y ) ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 0.80/1.21 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 0.80/1.21 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 0.80/1.21 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 0.80/1.21 , 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( 'c_SEQ_Olim'( Y, X ),
% 0.80/1.21 Z ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 0.80/1.21 [ 'c_Limits_Otendsto'( 'c_COMBB'( 'c_Complex_OIm', X,
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', Y ), hAPP( 'c_Complex_OIm', Z
% 0.80/1.21 ), T, Y, 'tc_RealDef_Oreal' ), ~( 'c_Limits_Otendsto'( X, Z, T, Y,
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ 'c_SEQ_Omonoseq'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'( 'v_s',
% 0.80/1.21 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 0.80/1.21 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_nat' ) ) ],
% 0.80/1.21 [ 'c_SEQ_OZseq'( 'c_COMBB'( 'c_Complex_OIm', X, 'tc_Complex_Ocomplex',
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OZseq'( X
% 0.80/1.21 , 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 'c_COMBK'( Y, X, 'tc_nat' ), Y, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 'c_COMBK'( Y, X, 'tc_nat' ), Y, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 'c_COMBB'( Z, T, X, Y, 'tc_nat' ), hAPP( Z, U ), Y ), ~( 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 T, U, X ) ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Z,
% 0.80/1.21 T, Y, X, 'tc_nat' ), U, X ), ~( 'c_SEQ_OLIMSEQ'( T, W, Y ) ), =( hAPP( T
% 0.80/1.21 , 'c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1'( T, W, Y ) ), W ), ~(
% 0.80/1.21 'c_Lim_OLIM'( Z, W, U, Y, X ) ) ],
% 0.80/1.21 [ =( hAPP( 'c_Complex_OIm', 'c_Finite__Set_Osetsum'( X, Y, Z,
% 0.80/1.21 'tc_Complex_Ocomplex' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 0.80/1.21 'c_Complex_OIm', X, 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', Z ), Y, Z
% 0.80/1.21 , 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBB'(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, 'tc_nat' ), hAPP(
% 0.80/1.21 'c_RealVector_Oof__real'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_ORe', X, 'tc_Complex_Ocomplex'
% 0.80/1.21 , 'tc_RealDef_Oreal', 'tc_nat' ), hAPP( 'c_Complex_ORe', Y ),
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OLIMSEQ'( X, Y, 'tc_Complex_Ocomplex' ) )
% 0.80/1.21 ],
% 0.80/1.21 [ 'c_SEQ_OCauchy'( 'c_COMBB'( 'c_Complex_OIm', X, 'tc_Complex_Ocomplex'
% 0.80/1.21 , 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal' ), ~(
% 0.80/1.21 'c_SEQ_OCauchy'( X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ 'c_Series_Osums'( 'c_COMBB'( 'c_Complex_OIm', X, 'tc_Complex_Ocomplex'
% 0.80/1.21 , 'tc_RealDef_Oreal', 'tc_nat' ), hAPP( 'c_Complex_OIm', Y ),
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_Series_Osums'( X, Y, 'tc_Complex_Ocomplex' )
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'c_Limits_OZfun'( 'c_COMBB'( 'c_Complex_OIm', X, 'tc_Complex_Ocomplex'
% 0.80/1.21 , 'tc_RealDef_Oreal', Y ), Z, Y, 'tc_RealDef_Oreal' ), ~(
% 0.80/1.21 'c_Limits_OZfun'( X, Z, Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Y ) ), ~(
% 0.80/1.21 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OisCont'( 'c_COMBB'( T,
% 0.80/1.21 U, Z, Y, X ), W, X, Y ), ~( 'c_Lim_OisCont'( T, hAPP( U, W ), Z, Y ) ),
% 0.80/1.21 ~( 'c_Lim_OisCont'( U, W, X, Z ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 0.80/1.21 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 0.80/1.21 [ 'c_SEQ_Oconvergent'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'( 'v_s',
% 0.80/1.21 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 0.80/1.21 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 0.80/1.21 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.80/1.21 , ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.80/1.21 'c_Deriv_Odifferentiable'( 'c_COMBB'( Y, Z, X, X, X ), T, X ), ~(
% 0.80/1.21 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'( Y,
% 0.80/1.21 hAPP( Z, T ), X ) ) ],
% 0.80/1.21 [ 'c_SEQ_Osubseq'( 'v_f____' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X
% 0.80/1.21 , 'tc_nat' ), hAPP( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y )
% 0.80/1.21 , T ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 0.80/1.21 [ 'c_Lim_OisCont'( 'c_Complex_OIm', X, 'tc_Complex_Ocomplex',
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OCauchy'( Y, X ),
% 0.80/1.21 ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 0.80/1.21 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~(
% 0.80/1.21 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 0.80/1.21 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'c_SEQ_Omonoseq'( 'c_COMBB'( 'c_Complex_ORe', 'c_COMBB'( 'v_s',
% 0.80/1.21 'v_f____', 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 0.80/1.21 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X ), Y, X,
% 0.80/1.21 X, 'tc_nat' ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), =(
% 0.80/1.21 Z, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 0.80/1.21 'c_Complex_OIm', Y, 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', X ), Z,
% 0.80/1.21 hAPP( 'c_Complex_OIm', T ), X, 'tc_RealDef_Oreal' ), ~( 'c_Lim_OLIM'( Y,
% 0.80/1.21 Z, T, X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ =( hAPP( 'c_Complex_OIm', 'c_Series_Osuminf'( X, 'tc_Complex_Ocomplex'
% 0.80/1.21 ) ), 'c_Series_Osuminf'( 'c_COMBB'( 'c_Complex_OIm', X,
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 0.80/1.21 ) ), ~( 'c_Series_Osummable'( X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ 'c_Series_Osummable'( 'c_COMBB'( 'c_Complex_OIm', X,
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 0.80/1.21 ), ~( 'c_Series_Osummable'( X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'( 'v_s',
% 0.80/1.21 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 0.80/1.21 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 0.80/1.21 'tc_RealDef_Oreal', 'tc_nat' ), 'v_sko__CHAINED__1'( 'v_f____',
% 0.80/1.21 'v_ga____', 'v_s' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'v_thesis____' ) ],
% 0.80/1.21 [ 'v_thesis____', ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm',
% 0.80/1.21 'c_COMBB'( 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat',
% 0.80/1.21 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 0.80/1.21 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), X,
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.80/1.21 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Otopological__space'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_SEQ_Ocomplete__space'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Otopological__space'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_SEQ_Ocomplete__space'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'c_fequal'( X, X, Y ) ],
% 0.80/1.21 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.80/1.21 ] .
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 percentage equality = 0.240741, percentage horn = 0.951276
% 0.80/1.21 This is a problem with some equality
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Options Used:
% 0.80/1.21
% 0.80/1.21 useres = 1
% 0.80/1.21 useparamod = 1
% 0.80/1.21 useeqrefl = 1
% 0.80/1.21 useeqfact = 1
% 0.80/1.21 usefactor = 1
% 0.80/1.21 usesimpsplitting = 0
% 0.80/1.21 usesimpdemod = 5
% 0.80/1.21 usesimpres = 3
% 0.80/1.21
% 0.80/1.21 resimpinuse = 1000
% 0.80/1.21 resimpclauses = 20000
% 1.49/1.93 substype = eqrewr
% 1.49/1.93 backwardsubs = 1
% 1.49/1.93 selectoldest = 5
% 1.49/1.93
% 1.49/1.93 litorderings [0] = split
% 1.49/1.93 litorderings [1] = extend the termordering, first sorting on arguments
% 1.49/1.93
% 1.49/1.93 termordering = kbo
% 1.49/1.93
% 1.49/1.93 litapriori = 0
% 1.49/1.93 termapriori = 1
% 1.49/1.93 litaposteriori = 0
% 1.49/1.93 termaposteriori = 0
% 1.49/1.93 demodaposteriori = 0
% 1.49/1.93 ordereqreflfact = 0
% 1.49/1.93
% 1.49/1.93 litselect = negord
% 1.49/1.93
% 1.49/1.93 maxweight = 15
% 1.49/1.93 maxdepth = 30000
% 1.49/1.93 maxlength = 115
% 1.49/1.93 maxnrvars = 195
% 1.49/1.93 excuselevel = 1
% 1.49/1.93 increasemaxweight = 1
% 1.49/1.93
% 1.49/1.93 maxselected = 10000000
% 1.49/1.93 maxnrclauses = 10000000
% 1.49/1.93
% 1.49/1.93 showgenerated = 0
% 1.49/1.93 showkept = 0
% 1.49/1.93 showselected = 0
% 1.49/1.93 showdeleted = 0
% 1.49/1.93 showresimp = 1
% 1.49/1.93 showstatus = 2000
% 1.49/1.93
% 1.49/1.93 prologoutput = 1
% 1.49/1.93 nrgoals = 5000000
% 1.49/1.93 totalproof = 1
% 1.49/1.93
% 1.49/1.93 Symbols occurring in the translation:
% 1.49/1.93
% 1.49/1.93 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.49/1.93 . [1, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.49/1.93 ! [4, 1] (w:0, o:68, a:1, s:1, b:0),
% 1.49/1.93 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.49/1.93 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.49/1.93 'class_RealVector_Oreal__normed__algebra' [40, 1] (w:1, o:73, a:1, s:
% 1.49/1.93 1, b:0),
% 1.49/1.93 'class_RealVector_Ometric__space' [42, 1] (w:1, o:74, a:1, s:1, b:0)
% 1.49/1.93 ,
% 1.49/1.93 'c_HOL_Otimes__class_Otimes' [43, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.49/1.93 'tc_fun' [45, 2] (w:1, o:147, a:1, s:1, b:0),
% 1.49/1.93 'c_COMBB' [46, 5] (w:1, o:169, a:1, s:1, b:0),
% 1.49/1.93 'c_COMBC' [48, 5] (w:1, o:170, a:1, s:1, b:0),
% 1.49/1.93 'c_HOL_Ozero__class_Ozero' [50, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.49/1.93 'c_Lim_OLIM' [51, 5] (w:1, o:171, a:1, s:1, b:0),
% 1.49/1.93 hAPP [54, 2] (w:1, o:148, a:1, s:1, b:0),
% 1.49/1.93 'c_Limits_Otendsto' [56, 5] (w:1, o:172, a:1, s:1, b:0),
% 1.49/1.93 'c_Limits_OZfun' [57, 4] (w:1, o:165, a:1, s:1, b:0),
% 1.49/1.93 'c_Finite__Set_Osetsum' [60, 4] (w:1, o:166, a:1, s:1, b:0),
% 1.49/1.93 'class_Ring__and__Field_Osemiring__0' [61, 1] (w:1, o:79, a:1, s:1
% 1.49/1.93 , b:0),
% 1.49/1.93 'class_RealVector_Oreal__vector' [63, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.49/1.93
% 1.49/1.93 'c_RealVector_OscaleR__class_OscaleR' [64, 1] (w:1, o:81, a:1, s:1
% 1.49/1.93 , b:0),
% 1.49/1.93 'tc_RealDef_Oreal' [65, 0] (w:1, o:29, a:1, s:1, b:0),
% 1.49/1.93 'class_RealVector_Oreal__normed__vector' [67, 1] (w:1, o:82, a:1, s:1
% 1.49/1.93 , b:0),
% 1.49/1.93 'class_OrderedGroup_Ogroup__add' [68, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.49/1.93
% 1.49/1.93 'c_HOL_Ouminus__class_Ouminus' [69, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.49/1.93 'class_RealVector_Oreal__algebra__1' [71, 1] (w:1, o:85, a:1, s:1, b:
% 1.49/1.93 0),
% 1.49/1.93 'c_RealVector_Oof__real' [72, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.49/1.93 'tc_nat' [74, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.49/1.93 'c_SEQ_OCauchy' [75, 2] (w:1, o:149, a:1, s:1, b:0),
% 1.49/1.93 'c_Lim_OisUCont' [76, 3] (w:1, o:156, a:1, s:1, b:0),
% 1.49/1.93 'c_SEQ_OZseq' [77, 2] (w:1, o:150, a:1, s:1, b:0),
% 1.49/1.93 'class_Ring__and__Field_Ocomm__semiring__1' [78, 1] (w:1, o:88, a:1
% 1.49/1.93 , s:1, b:0),
% 1.49/1.93 'class_SEQ_Obanach' [83, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.49/1.93 'c_Series_Osummable' [84, 2] (w:1, o:151, a:1, s:1, b:0),
% 1.49/1.93 'c_RealVector_Onorm__class_Onorm' [85, 1] (w:1, o:86, a:1, s:1, b:0)
% 1.49/1.93 ,
% 1.49/1.93 'class_RealVector_Oreal__normed__div__algebra' [86, 1] (w:1, o:89, a:
% 1.49/1.93 1, s:1, b:0),
% 1.49/1.93 'c_HOL_Oinverse__class_Oinverse' [87, 1] (w:1, o:104, a:1, s:1, b:0)
% 1.49/1.93 ,
% 1.49/1.93 'c_Lim_OisCont' [88, 4] (w:1, o:167, a:1, s:1, b:0),
% 1.49/1.93 'class_RealVector_Oreal__normed__field' [89, 1] (w:1, o:90, a:1, s:1
% 1.49/1.93 , b:0),
% 1.49/1.93 'c_COMBK' [90, 3] (w:1, o:157, a:1, s:1, b:0),
% 1.49/1.93 'c_Deriv_Odifferentiable' [91, 3] (w:1, o:158, a:1, s:1, b:0),
% 1.49/1.93 'class_Lattices_Oboolean__algebra' [92, 1] (w:1, o:105, a:1, s:1, b:0
% 1.49/1.93 ),
% 1.49/1.93 'class_RealVector_Oreal__normed__algebra__1' [94, 1] (w:1, o:91, a:1
% 1.49/1.93 , s:1, b:0),
% 1.49/1.93 'class_Ring__and__Field_Oring' [97, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.49/1.93 'c_RealVector_Obounded__linear' [98, 3] (w:1, o:159, a:1, s:1, b:0),
% 1.49/1.93
% 1.49/1.93 'class_OrderedGroup_Oab__semigroup__idem__mult' [99, 1] (w:1, o:106
% 1.49/1.93 , a:1, s:1, b:0),
% 1.49/1.93 'c_Complex_ORe' [100, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.49/1.93 'tc_Complex_Ocomplex' [101, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.49/1.93 'c_HOL_Oplus__class_Oplus' [102, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.49/1.93 'c_Complex_Ocomplex_OComplex' [105, 2] (w:1, o:152, a:1, s:1, b:0),
% 2.09/2.49 'class_Ring__and__Field_Oidom' [108, 1] (w:1, o:92, a:1, s:1, b:0),
% 2.09/2.49 'class_Int_Onumber__ring' [109, 1] (w:1, o:109, a:1, s:1, b:0),
% 2.09/2.49 'class_Ring__and__Field_Oordered__ring__strict' [111, 1] (w:1, o:95
% 2.09/2.49 , a:1, s:1, b:0),
% 2.09/2.49 'c_Suc' [113, 0] (w:1, o:46, a:1, s:1, b:0),
% 2.09/2.49 'class_Ring__and__Field_Odivision__ring' [114, 1] (w:1, o:97, a:1, s:
% 2.09/2.49 1, b:0),
% 2.09/2.49 'class_Ring__and__Field_Odivision__by__zero' [115, 1] (w:1, o:98, a:1
% 2.09/2.49 , s:1, b:0),
% 2.09/2.49 'class_OrderedGroup_Oab__semigroup__mult' [117, 1] (w:1, o:110, a:1
% 2.09/2.49 , s:1, b:0),
% 2.09/2.49 'class_Ring__and__Field_Ocomm__semiring' [123, 1] (w:1, o:96, a:1, s:
% 2.09/2.49 1, b:0),
% 2.09/2.49 'class_HOL_Ozero' [124, 1] (w:1, o:108, a:1, s:1, b:0),
% 2.09/2.49 'c_Series_Osuminf' [125, 2] (w:1, o:153, a:1, s:1, b:0),
% 2.09/2.49 'class_OrderedGroup_Oordered__ab__group__add' [126, 1] (w:1, o:111
% 2.09/2.49 , a:1, s:1, b:0),
% 2.09/2.49 'class_Ring__and__Field_Ofield' [128, 1] (w:1, o:99, a:1, s:1, b:0),
% 2.09/2.49
% 2.09/2.49 'class_OrderedGroup_Ocancel__ab__semigroup__add' [129, 1] (w:1, o:112
% 2.09/2.49 , a:1, s:1, b:0),
% 2.09/2.49 'class_OrderedGroup_Ocancel__semigroup__add' [130, 1] (w:1, o:113, a:
% 2.09/2.49 1, s:1, b:0),
% 2.09/2.49 'class_Ring__and__Field_Oring__no__zero__divisors' [131, 1] (w:1, o:
% 2.09/2.49 78, a:1, s:1, b:0),
% 2.09/2.49 'class_Ring__and__Field_Ono__zero__divisors' [132, 1] (w:1, o:94, a:1
% 2.09/2.49 , s:1, b:0),
% 2.09/2.49 'class_OrderedGroup_Olordered__ab__group__add' [133, 1] (w:1, o:114
% 2.09/2.49 , a:1, s:1, b:0),
% 2.09/2.49 'c_Series_Osums' [134, 3] (w:1, o:160, a:1, s:1, b:0),
% 2.09/2.49 'class_OrderedGroup_Ocomm__monoid__add' [135, 1] (w:1, o:115, a:1, s:
% 2.09/2.49 1, b:0),
% 2.09/2.49 'class_OrderedGroup_Oab__group__add' [136, 1] (w:1, o:116, a:1, s:1
% 2.09/2.49 , b:0),
% 2.09/2.49 'class_OrderedGroup_Oab__semigroup__add' [137, 1] (w:1, o:117, a:1
% 2.09/2.49 , s:1, b:0),
% 2.09/2.49 'class_Ring__and__Field_Osemiring' [141, 1] (w:1, o:100, a:1, s:1, b:
% 2.09/2.49 0),
% 2.09/2.49 'c_SEQ_Olim' [143, 2] (w:1, o:154, a:1, s:1, b:0),
% 2.09/2.49 'c_SEQ_OLIMSEQ' [144, 3] (w:1, o:161, a:1, s:1, b:0),
% 2.09/2.49 'c_SEQ_Oconvergent' [145, 2] (w:1, o:155, a:1, s:1, b:0),
% 2.09/2.49 'class_OrderedGroup_Omonoid__add' [146, 1] (w:1, o:118, a:1, s:1, b:0
% 2.09/2.49 ),
% 2.09/2.49 'class_RealVector_Oreal__algebra' [147, 1] (w:1, o:101, a:1, s:1, b:0
% 2.09/2.49 ),
% 2.09/2.49 'class_RealVector_Otopological__space' [150, 1] (w:1, o:102, a:1, s:1
% 2.09/2.49 , b:0),
% 2.09/2.49 'class_Ring__and__Field_Omult__zero' [154, 1] (w:1, o:93, a:1, s:1
% 2.09/2.49 , b:0),
% 2.09/2.49 'c_Complex_OIm' [156, 0] (w:1, o:58, a:1, s:1, b:0),
% 2.09/2.49 'class_SEQ_Ocomplete__space' [157, 1] (w:1, o:119, a:1, s:1, b:0),
% 2.09/2.49 'c_Set_Oimage' [158, 4] (w:1, o:168, a:1, s:1, b:0),
% 2.09/2.49 'v_thesis____' [159, 0] (w:1, o:60, a:1, s:1, b:0),
% 2.09/2.49 'v_s' [160, 0] (w:1, o:59, a:1, s:1, b:0),
% 2.09/2.49 'v_f____' [161, 0] (w:1, o:61, a:1, s:1, b:0),
% 2.09/2.49 'v_ga____' [162, 0] (w:1, o:62, a:1, s:1, b:0),
% 2.09/2.49 'c_SEQ_Osubseq' [163, 1] (w:1, o:120, a:1, s:1, b:0),
% 2.09/2.49 'c_SEQ_Omonoseq' [164, 1] (w:1, o:121, a:1, s:1, b:0),
% 2.09/2.49 'c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1' [166, 3] (w:1, o:162, a:
% 2.09/2.49 1, s:1, b:0),
% 2.09/2.49 'v_sko__CHAINED__1' [167, 3] (w:1, o:163, a:1, s:1, b:0),
% 2.09/2.49 'tc_bool' [170, 0] (w:1, o:66, a:1, s:1, b:0),
% 2.09/2.49 'c_fequal' [171, 3] (w:1, o:164, a:1, s:1, b:0).
% 2.09/2.49
% 2.09/2.49
% 2.09/2.49 Starting Search:
% 2.09/2.49
% 2.09/2.49 Resimplifying inuse:
% 2.09/2.49 Done
% 2.09/2.49
% 2.09/2.49
% 2.09/2.49 Intermediate Status:
% 2.09/2.49 Generated: 3720
% 2.09/2.49 Kept: 2025
% 2.09/2.49 Inuse: 148
% 2.09/2.49 Deleted: 3
% 2.09/2.49 Deletedinuse: 0
% 2.09/2.49
% 2.09/2.49 Resimplifying inuse:
% 2.09/2.49 Done
% 2.09/2.49
% 2.09/2.49 Resimplifying inuse:
% 2.09/2.49 Done
% 2.09/2.49
% 2.09/2.49
% 2.09/2.49 Intermediate Status:
% 2.09/2.49 Generated: 12731
% 2.09/2.49 Kept: 4183
% 2.09/2.49 Inuse: 233
% 2.09/2.49 Deleted: 3
% 2.09/2.49 Deletedinuse: 0
% 2.09/2.49
% 2.09/2.49 Resimplifying inuse:
% 2.09/2.49 Done
% 2.09/2.49
% 2.09/2.49 Resimplifying inuse:
% 2.09/2.49 Done
% 2.09/2.49
% 2.09/2.49
% 2.09/2.49 Intermediate Status:
% 2.09/2.49 Generated: 29802
% 2.09/2.49 Kept: 6737
% 2.09/2.49 Inuse: 278
% 2.09/2.49 Deleted: 3
% 2.09/2.49 Deletedinuse: 0
% 2.09/2.49
% 2.09/2.49 Resimplifying inuse:
% 2.09/2.49 Done
% 2.09/2.49
% 2.09/2.49 Resimplifying inuse:
% 2.09/2.49 Done
% 2.09/2.49
% 2.09/2.49
% 2.09/2.49 Intermediate Status:
% 2.09/2.49 Generated: 40900
% 2.09/2.49 Kept: 8754
% 2.09/2.49 Inuse: 371
% 2.09/2.49 Deleted: 5
% 2.09/2.49 Deletedinuse: 0
% 2.09/2.49
% 2.09/2.49 Resimplifying inuse:
% 2.09/2.49 Done
% 2.09/2.49
% 2.09/2.49
% 2.09/2.49 Intermediate Status:
% 2.09/2.49 Generated: 57487
% 2.09/2.49 Kept: 11363
% 2.09/2.49 Inuse: 416
% 2.09/2.49 Deleted: 5
% 2.09/2.49 Deletedinuse: 0
% 2.09/2.49
% 2.09/2.49 Resimplifying inuse:
% 2.09/2.49 Done
% 2.09/2.49
% 2.09/2.49 Resimplifying inuse:
% 2.09/2.49 Done
% 2.09/2.49
% 2.09/2.49
% 2.09/2.49 Intermediate Status:
% 2.09/2.49 Generated: 74894
% 2.09/2.50 Kept: 13367
% 2.09/2.50 Inuse: 459
% 2.09/2.50 Deleted: 6
% 2.09/2.50 Deletedinuse: 0
% 2.09/2.50
% 2.09/2.50 Resimplifying inuse:
% 2.09/2.50 Done
% 2.09/2.50
% 2.09/2.50 Resimplifying inuse:
% 2.09/2.50 Done
% 2.09/2.50
% 2.09/2.50
% 2.09/2.50 Intermediate Status:
% 2.09/2.50 Generated: 92566
% 2.09/2.50 Kept: 15751
% 2.09/2.50 Inuse: 475
% 2.09/2.50 Deleted: 6
% 2.09/2.50 Deletedinuse: 0
% 2.09/2.50
% 2.09/2.50 Resimplifying inuse:
% 2.09/2.50 Done
% 2.09/2.50
% 2.09/2.50
% 2.09/2.50 Intermediate Status:
% 2.09/2.50 Generated: 116203
% 2.09/2.50 Kept: 18453
% 2.09/2.50 Inuse: 495
% 2.09/2.50 Deleted: 6
% 2.09/2.50 Deletedinuse: 0
% 2.09/2.50
% 2.09/2.50 Resimplifying inuse:
% 2.09/2.50 Done
% 2.09/2.50
% 2.09/2.50 Resimplifying inuse:
% 2.09/2.50 Done
% 2.09/2.50
% 2.09/2.50 Resimplifying clauses:
% 2.09/2.50
% 2.09/2.50 Bliksems!, er is een bewijs:
% 2.09/2.50 % SZS status Unsatisfiable
% 2.09/2.50 % SZS output start Refutation
% 2.09/2.50
% 2.09/2.50 clause( 327, [ 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'(
% 2.09/2.50 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 2.09/2.50 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 2.09/2.50 'tc_RealDef_Oreal', 'tc_nat' ), 'v_sko__CHAINED__1'( 'v_f____',
% 2.09/2.50 'v_ga____', 'v_s' ), 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 .
% 2.09/2.50 clause( 328, [ ~( 'v_thesis____' ) ] )
% 2.09/2.50 .
% 2.09/2.50 clause( 329, [ ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'(
% 2.09/2.50 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 2.09/2.50 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 2.09/2.50 'tc_RealDef_Oreal', 'tc_nat' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 .
% 2.09/2.50 clause( 20179, [] )
% 2.09/2.50 .
% 2.09/2.50
% 2.09/2.50
% 2.09/2.50 % SZS output end Refutation
% 2.09/2.50 found a proof!
% 2.09/2.50
% 2.09/2.50 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.09/2.50
% 2.09/2.50 initialclauses(
% 2.09/2.50 [ clause( 20181, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 2.09/2.50 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 2.09/2.50 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.09/2.50 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.09/2.50 , clause( 20182, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 2.09/2.50 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 2.09/2.50 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.09/2.50 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.09/2.50 , clause( 20183, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Limits_Otendsto'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), U ), T ), W, Z, X ), ~(
% 2.09/2.50 'c_Limits_Otendsto'( Y, U, W, Z, X ) ) ] )
% 2.09/2.50 , clause( 20184, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X )
% 2.09/2.50 , Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), ~(
% 2.09/2.50 'c_Limits_OZfun'( Y, U, Z, X ) ) ] )
% 2.09/2.50 , clause( 20185, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X )
% 2.09/2.50 , Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), ~(
% 2.09/2.50 'c_Limits_OZfun'( Y, U, Z, X ) ) ] )
% 2.09/2.50 , clause( 20186, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 2.09/2.50 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 2.09/2.50 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), T
% 2.09/2.50 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ] )
% 2.09/2.50 , clause( 20187, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y
% 2.09/2.50 , Z, T, X ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 2.09/2.50 X ), Z, T, X ) ) ] )
% 2.09/2.50 , clause( 20188, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T
% 2.09/2.50 , X ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 2.09/2.50 X ), Z, T, X ) ) ] )
% 2.09/2.50 , clause( 20189, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), 'c_Finite__Set_Osetsum'(
% 2.09/2.50 Y, Z, T, 'tc_RealDef_Oreal' ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'(
% 2.09/2.50 'c_COMBB'( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y,
% 2.09/2.50 'tc_RealDef_Oreal', 'tc_fun'( X, X ), T ), U, T, X, X ), Z, T, X ) ) ] )
% 2.09/2.50 , clause( 20190, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 2.09/2.50 'c_COMBB'( 'c_RealVector_OscaleR__class_OscaleR'( X ), Z,
% 2.09/2.50 'tc_RealDef_Oreal', 'tc_fun'( X, X ), Y ), T, Y, X, X ), U, hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), W ), T ), Y, X ), ~(
% 2.09/2.50 'c_Lim_OLIM'( Z, U, W, Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20191, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBC'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y, 'tc_RealDef_Oreal',
% 2.09/2.50 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), ~( 'c_Limits_OZfun'( Y, U
% 2.09/2.50 , Z, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20192, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBC'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y, 'tc_RealDef_Oreal',
% 2.09/2.50 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), ~( 'c_Limits_OZfun'( Y, U
% 2.09/2.50 , Z, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20193, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_Otendsto'( 'c_COMBC'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y, 'tc_RealDef_Oreal',
% 2.09/2.50 'tc_fun'( X, X ), Z ), T, Z, X, X ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), U ), T ), W, Z, X ), ~(
% 2.09/2.50 'c_Limits_Otendsto'( Y, U, W, Z, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20194, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ] )
% 2.09/2.50 , clause( 20195, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_SEQ_OCauchy'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, 'tc_nat' ), X )
% 2.09/2.50 , ~( 'c_SEQ_OCauchy'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20196, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Lim_OisUCont'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20197, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OZseq'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X,
% 2.09/2.50 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20198, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ] )
% 2.09/2.50 , clause( 20199, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ] )
% 2.09/2.50 , clause( 20200, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ] )
% 2.09/2.50 , clause( 20201, [ ~( 'class_SEQ_Obanach'( X ) ), 'c_Series_Osummable'( Y,
% 2.09/2.50 X ), ~( 'c_Series_Osummable'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Onorm__class_Onorm'( X ), Y, X, 'tc_RealDef_Oreal',
% 2.09/2.50 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20202, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.09/2.50 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20203, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( hAPP(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20204, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), =( hAPP(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20205, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Lim_OLIM'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ] )
% 2.09/2.50 , clause( 20206, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__div__algebra'( Y ) ), 'c_Lim_OisCont'(
% 2.09/2.50 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( Y ), Z, Y, Y, X ), T, X, Y )
% 2.09/2.50 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( Y ) ), ~( 'c_Lim_OisCont'(
% 2.09/2.50 Z, T, X, Y ) ) ] )
% 2.09/2.50 , clause( 20207, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 2.09/2.50 'c_Deriv_Odifferentiable'( 'c_COMBK'( Y, X, X ), Z, X ) ] )
% 2.09/2.50 , clause( 20208, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OZseq'( Y, X ), ~( 'c_SEQ_OZseq'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Onorm__class_Onorm'( X ), Y, X, 'tc_RealDef_Oreal',
% 2.09/2.50 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20209, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OZseq'( 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y, X,
% 2.09/2.50 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OZseq'( Y
% 2.09/2.50 , X ) ) ] )
% 2.09/2.50 , clause( 20210, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_SEQ_OCauchy'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 2.09/2.50 , Z, X, X, 'tc_nat' ), X ), ~( 'c_SEQ_OCauchy'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20211, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Lim_OisCont'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20212, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 2.09/2.50 'c_COMBB'( 'c_RealVector_OscaleR__class_OscaleR'( X ), Z,
% 2.09/2.50 'tc_RealDef_Oreal', 'tc_fun'( X, X ), Y ), T, Y, X, X ), U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20213, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 2.09/2.50 'c_COMBB'( 'c_RealVector_OscaleR__class_OscaleR'( X ), Z,
% 2.09/2.50 'tc_RealDef_Oreal', 'tc_fun'( X, X ), Y ), T, Y, X, X ), U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20214, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ] )
% 2.09/2.50 , clause( 20215, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y
% 2.09/2.50 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OZseq'( 'c_COMBK'( Y, X,
% 2.09/2.50 'tc_nat' ), X ) ) ] )
% 2.09/2.50 , clause( 20216, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 2.09/2.50 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ] )
% 2.09/2.50 , clause( 20217, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y, X
% 2.09/2.50 , 'tc_RealDef_Oreal', Z ), T, Z, 'tc_RealDef_Oreal' ), ~(
% 2.09/2.50 'c_Limits_OZfun'( Y, T, Z, X ) ) ] )
% 2.09/2.50 , clause( 20218, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( Y, Z, T, X ), ~( 'c_Limits_OZfun'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Onorm__class_Onorm'( X ), Y, X, 'tc_RealDef_Oreal', T ), Z
% 2.09/2.50 , T, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20219, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( 'c_COMBK'( Z,
% 2.09/2.50 Y, X ), T, X, Y ) ] )
% 2.09/2.50 , clause( 20220, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X
% 2.09/2.50 , Z ), T, Z, X ), ~( 'c_Limits_OZfun'( Y, T, Z, X ) ) ] )
% 2.09/2.50 , clause( 20221, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.09/2.50 X ), Y ) ), Z ) ) ] )
% 2.09/2.50 , clause( 20222, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20223, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisUCont'( Z, X,
% 2.09/2.50 Y ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20224, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_SEQ_OZseq'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z
% 2.09/2.50 , X, X, 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20225, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_SEQ_OZseq'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z
% 2.09/2.50 , X, X, 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20226, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 2.09/2.50 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ] )
% 2.09/2.50 , clause( 20227, [ 'c_Limits_OZfun'( 'c_COMBB'( 'c_Complex_ORe', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', Y ), Z, Y, 'tc_RealDef_Oreal'
% 2.09/2.50 ), ~( 'c_Limits_OZfun'( X, Z, Y, 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20228, [ 'c_SEQ_OCauchy'( 'c_COMBB'( 'c_Complex_ORe', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 2.09/2.50 ), ~( 'c_SEQ_OCauchy'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20229, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 2.09/2.50 ), Y ) ), Z ) ), Z ) ] )
% 2.09/2.50 , clause( 20230, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 2.09/2.50 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ] )
% 2.09/2.50 , clause( 20231, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 2.09/2.50 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ] )
% 2.09/2.50 , clause( 20232, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), Z, 'tc_RealDef_Oreal', X, Y ), T,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, T,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20233, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.09/2.50 'class_Int_Onumber__ring'( X ) ), ~( =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20234, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.09/2.50 ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20235, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.09/2.50 ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20236, [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ] )
% 2.09/2.50 , clause( 20237, [ ~( =( hAPP( 'c_Suc', X ), X ) ) ] )
% 2.09/2.50 , clause( 20238, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Lim_OLIM'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z,
% 2.09/2.50 hAPP( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ), X, X )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20239, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 2.09/2.50 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ] )
% 2.09/2.50 , clause( 20240, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.09/2.50 , clause( 20241, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.09/2.50 , clause( 20242, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_RealVector_Obounded__linear'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 2.09/2.50 , Y ), X, X ) ] )
% 2.09/2.50 , clause( 20243, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 2.09/2.50 hAPP( 'c_RealVector_Oof__real'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.09/2.50 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20244, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 2.09/2.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ) ] )
% 2.09/2.50 , clause( 20245, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 2.09/2.50 =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ), =( Z,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20246, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 2.09/2.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.09/2.50 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20247, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.09/2.50 =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20248, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_Otendsto'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X
% 2.09/2.50 , X, Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), T ), U, Z, X ), ~(
% 2.09/2.50 'c_Limits_Otendsto'( Y, T, U, Z, X ) ) ] )
% 2.09/2.50 , clause( 20249, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_Otendsto'( Y, Z, T, U, X ), ~( 'c_Limits_Otendsto'( 'c_COMBB'(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, U ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), T, U, X ) ) ] )
% 2.09/2.50 , clause( 20250, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 2.09/2.50 Y, X, Z ), W, 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_Lim_OLIM'( U
% 2.09/2.50 , W, 'c_HOL_Ozero__class_Ozero'( Y ), Z, Y ) ), ~(
% 2.09/2.50 'c_RealVector_Obounded__linear'( T, Y, X ) ) ] )
% 2.09/2.50 , clause( 20251, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 2.09/2.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ] )
% 2.09/2.50 , clause( 20252, [ 'c_Lim_OLIM'( 'c_Complex_ORe', X, hAPP( 'c_Complex_ORe'
% 2.09/2.50 , X ), 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20253, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Series_Osummable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y,
% 2.09/2.50 X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20254, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ] )
% 2.09/2.50 , clause( 20255, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ] )
% 2.09/2.50 , clause( 20256, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ] )
% 2.09/2.50 , clause( 20257, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ] )
% 2.09/2.50 , clause( 20258, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20259, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ] )
% 2.09/2.50 , clause( 20260, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20261, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20262, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20263, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20264, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20265, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20266, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20267, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_HOL_Ozero'( X ) ), ~( 'class_RealVector_Oreal__normed__algebra__1'(
% 2.09/2.50 Y ) ), ~( 'c_Lim_OLIM'( 'c_COMBK'( Z, X, Y ), T,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20268, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ),
% 2.09/2.50 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X, 'tc_nat' ), X )
% 2.09/2.50 ), ~( 'c_Series_Osummable'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20269, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 2.09/2.50 , ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20270, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 2.09/2.50 X ), Y ), T ) ), Z ) ) ] )
% 2.09/2.50 , clause( 20271, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_RealVector_Obounded__linear'( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y, X, X, X ), X, X ) ] )
% 2.09/2.50 , clause( 20272, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20273, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20274, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20275, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20276, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.09/2.50 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ] )
% 2.09/2.50 , clause( 20277, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.09/2.50 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ] )
% 2.09/2.50 , clause( 20278, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_Limits_OZfun'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, Z ), T, Z, X ),
% 2.09/2.50 ~( 'c_Limits_OZfun'( Y, T, Z, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20279, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Limits_Otendsto'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 2.09/2.50 Y ), Z, X, X, T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U
% 2.09/2.50 ), W, T, X ), ~( 'c_Limits_Otendsto'( Z, U, W, T, X ) ) ] )
% 2.09/2.50 , clause( 20280, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'(
% 2.09/2.50 X ), Y ), Z, X, X, T ), U, T, X ), ~( 'c_Limits_OZfun'( Z, U, T, X ) ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20281, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'(
% 2.09/2.50 X ), Y ), Z, X, X, T ), U, T, X ), ~( 'c_Limits_OZfun'( Z, U, T, X ) ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20282, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 2.09/2.50 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 2.09/2.50 X ), Y ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ),
% 2.09/2.50 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20283, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 2.09/2.50 X ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ),
% 2.09/2.50 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20284, [ 'c_SEQ_OZseq'( 'c_COMBB'( 'c_Complex_ORe', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 2.09/2.50 ), ~( 'c_SEQ_OZseq'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20285, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z
% 2.09/2.50 , X ) ), 'c_Series_Osuminf'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 'tc_nat' ), X ) ), ~(
% 2.09/2.50 'c_Series_Osummable'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20286, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 'c_Series_Osuminf'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y
% 2.09/2.50 ), Z, X, X, 'tc_nat' ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 2.09/2.50 ), Y ), 'c_Series_Osuminf'( Z, X ) ) ), ~( 'c_Series_Osummable'( Z, X )
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20287, [ =( hAPP( 'c_Complex_ORe', 'c_Series_Osuminf'( X,
% 2.09/2.50 'tc_Complex_Ocomplex' ) ), 'c_Series_Osuminf'( 'c_COMBB'( 'c_Complex_ORe'
% 2.09/2.50 , X, 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ),
% 2.09/2.50 'tc_RealDef_Oreal' ) ), ~( 'c_Series_Osummable'( X, 'tc_Complex_Ocomplex'
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20288, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 2.09/2.50 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) )
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20289, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 2.09/2.50 U, W, Y, X ) ) ] )
% 2.09/2.50 , clause( 20290, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_Lim_OLIM'( 'c_COMBB'( 'c_Complex_ORe', Y, 'tc_Complex_Ocomplex',
% 2.09/2.50 'tc_RealDef_Oreal', X ), Z, hAPP( 'c_Complex_ORe', T ), X,
% 2.09/2.50 'tc_RealDef_Oreal' ), ~( 'c_Lim_OLIM'( Y, Z, T, X, 'tc_Complex_Ocomplex'
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20291, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 2.09/2.50 'c_Deriv_Odifferentiable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X )
% 2.09/2.50 , Y, X, X, X ), Z, X ), ~( 'c_Deriv_Odifferentiable'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20292, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 2.09/2.50 , X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y )
% 2.09/2.50 ) ), =( X, Z ) ] )
% 2.09/2.50 , clause( 20293, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 2.09/2.50 , X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z )
% 2.09/2.50 ) ), =( Y, Z ) ] )
% 2.09/2.50 , clause( 20294, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 2.09/2.50 , X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z )
% 2.09/2.50 ) ), =( Y, Z ) ] )
% 2.09/2.50 , clause( 20295, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.09/2.50 'class_Int_Onumber__ring'( X ) ), ~( =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 2.09/2.50 , clause( 20296, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 2.09/2.50 ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 2.09/2.50 , clause( 20297, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 2.09/2.50 ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 2.09/2.50 , clause( 20298, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 2.09/2.50 ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ] )
% 2.09/2.50 , clause( 20299, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.09/2.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 2.09/2.50 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20300, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 2.09/2.50 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 2.09/2.50 X ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), =( Z,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20301, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), ~( 'c_Lim_OLIM'(
% 2.09/2.50 'c_COMBK'( Z, X, Y ), T, U, Y, X ) ), =( Z, U ) ] )
% 2.09/2.50 , clause( 20302, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 2.09/2.50 'c_Lim_OLIM'( 'c_COMBK'( Z, X, Y ), U, T, Y, X ) ) ] )
% 2.09/2.50 , clause( 20303, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 2.09/2.50 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ), =( Y,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20304, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 2.09/2.50 'c_Finite__Set_Osetsum'( Z, T, U, X ) ), 'c_Finite__Set_Osetsum'(
% 2.09/2.50 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T
% 2.09/2.50 , U, X ) ) ] )
% 2.09/2.50 , clause( 20305, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z
% 2.09/2.50 , T, U, X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ] )
% 2.09/2.50 , clause( 20306, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 2.09/2.50 hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 2.09/2.50 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ) ) ] )
% 2.09/2.50 , clause( 20307, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 2.09/2.50 , ~( 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Z, X, X, Y ), T, hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), U ), Y, X ), =( U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Lim_OLIM'( Z, T, U, Y, X ) ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20308, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 2.09/2.50 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( Y ), Z, Y, Y, X ), T, X, Y ),
% 2.09/2.50 ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ] )
% 2.09/2.50 , clause( 20309, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 'c_Series_Osuminf'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X
% 2.09/2.50 , X, 'tc_nat' ), X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.09/2.50 'c_Series_Osuminf'( Y, X ) ) ), ~( 'c_Series_Osummable'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20310, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 2.09/2.50 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20311, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ] )
% 2.09/2.50 , clause( 20312, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ] )
% 2.09/2.50 , clause( 20313, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20314, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 2.09/2.50 ) ), ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 2.09/2.50 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20315, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 2.09/2.50 ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 2.09/2.50 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20316, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 2.09/2.50 ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 2.09/2.50 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20317, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Series_Osummable'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X,
% 2.09/2.50 'tc_nat' ), X ) ] )
% 2.09/2.50 , clause( 20318, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.09/2.50 , ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20319, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_Limits_Otendsto'(
% 2.09/2.50 'c_COMBB'( 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, Z ),
% 2.09/2.50 hAPP( 'c_RealVector_Oof__real'( X ), T ), U, Z, X ), ~(
% 2.09/2.50 'c_Limits_Otendsto'( Y, T, U, Z, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20320, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Series_Osums'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, 'tc_nat'
% 2.09/2.50 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 2.09/2.50 , clause( 20321, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OisCont'(
% 2.09/2.50 Z, T, X, Y ) ) ] )
% 2.09/2.50 , clause( 20322, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 2.09/2.50 ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T )
% 2.09/2.50 , X, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ] )
% 2.09/2.50 , clause( 20323, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ] )
% 2.09/2.50 , clause( 20324, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.09/2.50 'class_Int_Onumber__ring'( X ) ), ~( =( Y, hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), =( Z,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20325, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Lim_OLIM'( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X )
% 2.09/2.50 , Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ] )
% 2.09/2.50 , clause( 20326, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 2.09/2.50 ~( 'c_Lim_OisUCont'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20327, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T, X, X, Y ), U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.09/2.50 , clause( 20328, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T, X, X, Y ), U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.09/2.50 , clause( 20329, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Series_Osums'( 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'(
% 2.09/2.50 X ), Y ), Z, X, X, 'tc_nat' ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ), X ), ~(
% 2.09/2.50 'c_Series_Osums'( Z, T, X ) ) ] )
% 2.09/2.50 , clause( 20330, [ 'c_Lim_OisCont'( 'c_Complex_ORe', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20331, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Series_Osummable'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X, 'tc_nat' ), X )
% 2.09/2.50 , ~( 'c_Series_Osummable'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20332, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20333, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20334, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 =( hAPP( 'c_RealVector_Onorm__class_Onorm'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20335, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 2.09/2.50 hAPP( 'c_RealVector_Oof__real'( X ), Y ), hAPP( 'c_RealVector_Oof__real'(
% 2.09/2.50 X ), Z ) ) ), =( Y, Z ) ] )
% 2.09/2.50 , clause( 20336, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, Y ), T, hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T,
% 2.09/2.50 U, Y, X ) ) ] )
% 2.09/2.50 , clause( 20337, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 'c_Series_Osuminf'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X,
% 2.09/2.50 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20338, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_SEQ_OZseq'( 'c_COMBB'(
% 2.09/2.50 Z, T, X, Y, 'tc_nat' ), Y ), ~( 'c_SEQ_OZseq'( T, X ) ), ~(
% 2.09/2.50 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20339, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 2.09/2.50 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 2.09/2.50 , ~( 'c_Lim_OisCont'( T, V0, X, Y ) ) ] )
% 2.09/2.50 , clause( 20340, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), Z, 'tc_RealDef_Oreal', X, Y ), T, hAPP(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 2.09/2.50 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20341, [ =( hAPP( 'c_Complex_ORe', 'c_Finite__Set_Osetsum'( X, Y
% 2.09/2.50 , Z, 'tc_Complex_Ocomplex' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 2.09/2.50 'c_Complex_ORe', X, 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', Z ), Y, Z
% 2.09/2.50 , 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20342, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.09/2.50 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 2.09/2.50 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20343, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.09/2.50 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 2.09/2.50 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20344, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 2.09/2.50 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 2.09/2.50 , ~( 'c_RealVector_Obounded__linear'( T, X, Y ) ) ] )
% 2.09/2.50 , clause( 20345, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 2.09/2.50 , Z, X, X, T ), U, T, X ), ~( 'c_Limits_OZfun'( Z, U, T, X ) ) ] )
% 2.09/2.50 , clause( 20346, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 2.09/2.50 , Z, X, X, T ), U, T, X ), ~( 'c_Limits_OZfun'( Z, U, T, X ) ) ] )
% 2.09/2.50 , clause( 20347, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 2.09/2.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ) ] )
% 2.09/2.50 , clause( 20348, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 2.09/2.50 'c_Deriv_Odifferentiable'( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X
% 2.09/2.50 ), Y, X, X, X ), Z, X ), =( hAPP( Y, Z ), 'c_HOL_Ozero__class_Ozero'( X
% 2.09/2.50 ) ), ~( 'c_Deriv_Odifferentiable'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20349, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Limits_Otendsto'(
% 2.09/2.50 'c_COMBB'( Z, T, Y, X, U ), hAPP( Z, W ), V0, U, X ), ~(
% 2.09/2.50 'c_Limits_Otendsto'( T, W, V0, U, Y ) ), ~(
% 2.09/2.50 'c_RealVector_Obounded__linear'( Z, Y, X ) ) ] )
% 2.09/2.50 , clause( 20350, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ] )
% 2.09/2.50 , clause( 20351, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.09/2.50 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20352, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ] )
% 2.09/2.50 , clause( 20353, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Lim_OisCont'( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X
% 2.09/2.50 ), Z, X, X ) ] )
% 2.09/2.50 , clause( 20354, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Onorm__class_Onorm'( X ), Z, X, 'tc_RealDef_Oreal', Y ), T
% 2.09/2.50 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 2.09/2.50 ), ~( 'c_Lim_OLIM'( Z, T, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.09/2.50 , clause( 20355, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Onorm__class_Onorm'( X ), Z, X, 'tc_RealDef_Oreal', Y ), T
% 2.09/2.50 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20356, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20357, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 2.09/2.50 , clause( 20358, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 2.09/2.50 X ), Y ), Z ) ), T ) ) ] )
% 2.09/2.50 , clause( 20359, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20360, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 2.09/2.50 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20361, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20362, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 2.09/2.50 , clause( 20363, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 2.09/2.50 X ), Y ), Z ) ), T ) ) ] )
% 2.09/2.50 , clause( 20364, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 2.09/2.50 X ), Y ), T ) ), Z ) ) ] )
% 2.09/2.50 , clause( 20365, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20366, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 2.09/2.50 , clause( 20367, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_RealVector_Oof__real'( X ), Y
% 2.09/2.50 ) ), Z ) ) ] )
% 2.09/2.50 , clause( 20368, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 2.09/2.50 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 2.09/2.50 , clause( 20369, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X
% 2.09/2.50 , W ), Y ) ) ] )
% 2.09/2.50 , clause( 20370, [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ] )
% 2.09/2.50 , clause( 20371, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Series_Osummable'(
% 2.09/2.50 'c_COMBB'( Z, T, X, Y, 'tc_nat' ), Y ), ~( 'c_Series_Osummable'( T, X ) )
% 2.09/2.50 , ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20372, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 2.09/2.50 , 'c_Limits_Otendsto'( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X ),
% 2.09/2.50 Y, X, X, Z ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), T ), U, Z, X )
% 2.09/2.50 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Limits_Otendsto'( Y, T,
% 2.09/2.50 U, Z, X ) ) ] )
% 2.09/2.50 , clause( 20373, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20374, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20375, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20376, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20377, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), T ), Z ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U ) ) ] )
% 2.09/2.50 , clause( 20378, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( Y, 'c_SEQ_Olim'( Y, X ), X ), ~( 'c_SEQ_Oconvergent'( Y
% 2.09/2.50 , X ) ) ] )
% 2.09/2.50 , clause( 20379, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_Oconvergent'( Y, X ), ~( 'c_SEQ_OLIMSEQ'( Y, 'c_SEQ_Olim'( Y, X )
% 2.09/2.50 , X ) ) ] )
% 2.09/2.50 , clause( 20380, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20381, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20382, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20383, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20384, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'( Z, T, X
% 2.09/2.50 , Y ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20385, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), =( hAPP(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), 'c_Series_Osuminf'( Y, 'tc_RealDef_Oreal'
% 2.09/2.50 ) ), 'c_Series_Osuminf'( 'c_COMBB'( 'c_RealVector_Oof__real'( X ), Y,
% 2.09/2.50 'tc_RealDef_Oreal', X, 'tc_nat' ), X ) ), ~( 'c_Series_Osummable'( Y,
% 2.09/2.50 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20386, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 'c_SEQ_Olim'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X,
% 2.09/2.50 'tc_nat' ), X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_SEQ_Olim'(
% 2.09/2.50 Y, X ) ) ), ~( 'c_SEQ_Oconvergent'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20387, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ),
% 2.09/2.50 'c_Finite__Set_Osetsum'( Z, T, U, X ) ), 'c_Finite__Set_Osetsum'(
% 2.09/2.50 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X
% 2.09/2.50 , U ), T, U, X ) ) ] )
% 2.09/2.50 , clause( 20388, [ 'c_Series_Osummable'( 'c_COMBB'( 'c_Complex_ORe', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 2.09/2.50 ), ~( 'c_Series_Osummable'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20389, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Onorm__class_Onorm'( X ), Z, X, 'tc_RealDef_Oreal', Y ), T
% 2.09/2.50 , hAPP( 'c_RealVector_Onorm__class_Onorm'( X ), U ), Y,
% 2.09/2.50 'tc_RealDef_Oreal' ), ~( 'c_Lim_OLIM'( Z, T, U, Y, X ) ) ] )
% 2.09/2.50 , clause( 20390, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_Oconvergent'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X
% 2.09/2.50 , X, 'tc_nat' ), X ), ~( 'c_SEQ_Oconvergent'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20391, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_Oconvergent'( Y, X ), ~( 'c_SEQ_Oconvergent'( 'c_COMBB'(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X ) ) ] )
% 2.09/2.50 , clause( 20392, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 2.09/2.50 , 'c_Lim_OLIM'( 'c_HOL_Oinverse__class_Oinverse'( X ), Y, hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X, X ), =( Y,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20393, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20394, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20395, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ] )
% 2.09/2.50 , clause( 20396, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Limits_OZfun'(
% 2.09/2.50 'c_COMBB'( Z, T, Y, X, U ), W, U, X ), ~( 'c_Limits_OZfun'( T, W, U, Y )
% 2.09/2.50 ), ~( 'c_RealVector_Obounded__linear'( Z, Y, X ) ) ] )
% 2.09/2.50 , clause( 20397, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Lim_OisUCont'( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X,
% 2.09/2.50 X ), X, X ) ] )
% 2.09/2.50 , clause( 20398, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OZseq'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, 'tc_nat' )
% 2.09/2.50 , X ) ] )
% 2.09/2.50 , clause( 20399, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.09/2.50 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.09/2.50 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.09/2.50 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ] )
% 2.09/2.50 , clause( 20400, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 2.09/2.50 ) ), Y ) ] )
% 2.09/2.50 , clause( 20401, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.09/2.50 , Y ), Y ) ] )
% 2.09/2.50 , clause( 20402, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 2.09/2.50 , clause( 20403, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.09/2.50 'class_Int_Onumber__ring'( X ) ), =( Y, hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20404, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y ) ] )
% 2.09/2.50 , clause( 20405, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 X ) ), Y ), Y ) ] )
% 2.09/2.50 , clause( 20406, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 2.09/2.50 , clause( 20407, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y ) ] )
% 2.09/2.50 , clause( 20408, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.09/2.50 X ), Y ) ), Y ) ] )
% 2.09/2.50 , clause( 20409, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.09/2.50 X ), Y ) ) ) ] )
% 2.09/2.50 , clause( 20410, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.09/2.50 X ), Y ) ) ) ] )
% 2.09/2.50 , clause( 20411, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.09/2.50 X ), Y ) ), Y ) ] )
% 2.09/2.50 , clause( 20412, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.09/2.50 X ), Y ) ), Y ) ] )
% 2.09/2.50 , clause( 20413, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_Series_Osummable'(
% 2.09/2.50 'c_COMBB'( 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X,
% 2.09/2.50 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20414, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20415, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ] )
% 2.09/2.50 , clause( 20416, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20417, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ] )
% 2.09/2.50 , clause( 20418, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), 'c_Lim_OisCont'(
% 2.09/2.50 'c_COMBB'( 'c_RealVector_Oof__real'( Y ), Z, 'tc_RealDef_Oreal', Y, X ),
% 2.09/2.50 T, X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20419, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), =( hAPP( Z, hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), T ), U ) ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( Y ), T ), hAPP( Z, U ) ) ), ~(
% 2.09/2.50 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20420, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_SEQ_OCauchy'( 'c_COMBB'( Z,
% 2.09/2.50 T, X, Y, 'tc_nat' ), Y ), ~( 'c_SEQ_OCauchy'( T, X ) ), ~(
% 2.09/2.50 'c_Lim_OisUCont'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20421, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 2.09/2.50 , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 2.09/2.50 ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ] )
% 2.09/2.50 , clause( 20422, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 2.09/2.50 Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 2.09/2.50 X ) ) ] )
% 2.09/2.50 , clause( 20423, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 2.09/2.50 ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ] )
% 2.09/2.50 , clause( 20424, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 2.09/2.50 , T, hAPP( Z, T ), X, Y ) ) ] )
% 2.09/2.50 , clause( 20425, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 2.09/2.50 , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20426, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 2.09/2.50 , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20427, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Series_Osums'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 2.09/2.50 , Z, X, X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 2.09/2.50 , T ), X ), ~( 'c_Series_Osums'( Z, T, X ) ) ] )
% 2.09/2.50 , clause( 20428, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_Series_Osums'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 2.09/2.50 , Z, X, X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 2.09/2.50 , T ), X ), ~( 'c_Series_Osums'( Z, T, X ) ) ] )
% 2.09/2.50 , clause( 20429, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_OZfun'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y ), Z,
% 2.09/2.50 Y, X ) ] )
% 2.09/2.50 , clause( 20430, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20431, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20432, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Lim_OisCont'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z
% 2.09/2.50 , X, X ) ] )
% 2.09/2.50 , clause( 20433, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_Otendsto'( 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y
% 2.09/2.50 , X, 'tc_RealDef_Oreal', Z ), hAPP( 'c_RealVector_Onorm__class_Onorm'( X
% 2.09/2.50 ), T ), U, Z, 'tc_RealDef_Oreal' ), ~( 'c_Limits_Otendsto'( Y, T, U, Z,
% 2.09/2.50 X ) ) ] )
% 2.09/2.50 , clause( 20434, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 2.09/2.50 hAPP( 'c_Suc', X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ] )
% 2.09/2.50 , clause( 20435, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 2.09/2.50 ), hAPP( 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ] )
% 2.09/2.50 , clause( 20436, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.09/2.50 'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 2.09/2.50 ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20437, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 hAPP( 'c_RealVector_Onorm__class_Onorm'( X ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 2.09/2.50 'c_RealVector_Onorm__class_Onorm'( X ), Y ) ) ] )
% 2.09/2.50 , clause( 20438, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20439, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20440, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T ) ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ) ] )
% 2.09/2.50 , clause( 20441, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_SEQ_OZseq'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, 'tc_nat' ), X )
% 2.09/2.50 , ~( 'c_SEQ_OZseq'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20442, [ ~( 'class_RealVector_Otopological__space'( X ) ),
% 2.09/2.50 'c_Limits_Otendsto'( 'c_COMBK'( Y, X, Z ), Y, T, Z, X ) ] )
% 2.09/2.50 , clause( 20443, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 2.09/2.50 , clause( 20444, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 2.09/2.50 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20445, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 2.09/2.50 , clause( 20446, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 2.09/2.50 , clause( 20447, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 hAPP( 'c_RealVector_Onorm__class_Onorm'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20448, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBK'( Z, X,
% 2.09/2.50 Y ), T, Z, Y, X ) ] )
% 2.09/2.50 , clause( 20449, [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X,
% 2.09/2.50 Y ) ] )
% 2.09/2.50 , clause( 20450, [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X,
% 2.09/2.50 Y ) ] )
% 2.09/2.50 , clause( 20451, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ] )
% 2.09/2.50 , clause( 20452, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ] )
% 2.09/2.50 , clause( 20453, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), =( hAPP(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T,
% 2.09/2.50 'tc_RealDef_Oreal' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, T ), Z, T, X ) )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20454, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.09/2.50 'class_Int_Onumber__ring'( X ) ), ~( =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U )
% 2.09/2.50 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), =( Z, U ), =( Y, T ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20455, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.09/2.50 'class_Int_Onumber__ring'( X ) ), ~( =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 2.09/2.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U )
% 2.09/2.50 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), =( Z, U ), =( Y, T ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20456, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 2.09/2.50 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), =( Y,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20457, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20458, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20459, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20460, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20461, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20462, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.09/2.50 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20463, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.09/2.50 =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20464, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.09/2.50 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20465, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20466, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 2.09/2.50 ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20467, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 2.09/2.50 ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20468, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Series_Osummable'( 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 2.09/2.50 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X
% 2.09/2.50 ), ~( 'c_Series_Osummable'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20469, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), T, X, X, Y ), U, hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ), W ), Y, X ), ~(
% 2.09/2.50 'c_Lim_OLIM'( T, U, W, Y, X ) ) ] )
% 2.09/2.50 , clause( 20470, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ] )
% 2.09/2.50 , clause( 20471, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ] )
% 2.09/2.50 , clause( 20472, [ 'c_Limits_Otendsto'( 'c_COMBB'( 'c_Complex_ORe', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', Y ), hAPP( 'c_Complex_ORe', Z
% 2.09/2.50 ), T, Y, 'tc_RealDef_Oreal' ), ~( 'c_Limits_Otendsto'( X, Z, T, Y,
% 2.09/2.50 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20473, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Series_Osums'(
% 2.09/2.50 'c_COMBB'( Z, T, X, Y, 'tc_nat' ), hAPP( Z, U ), Y ), ~( 'c_Series_Osums'(
% 2.09/2.50 T, U, X ) ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20474, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.09/2.50 'c_Series_Osummable'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20475, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y
% 2.09/2.50 , 'c_Series_Osuminf'( Z, X ) ), ~( 'c_Series_Osums'( Z, Y, X ) ) ] )
% 2.09/2.50 , clause( 20476, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 2.09/2.50 'c_Series_Osuminf'( Y, X ), Z ), ~( 'c_Series_Osums'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20477, [ 'c_Series_Osums'( 'c_COMBB'( 'c_Complex_ORe', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), hAPP(
% 2.09/2.50 'c_Complex_ORe', Y ), 'tc_RealDef_Oreal' ), ~( 'c_Series_Osums'( X, Y,
% 2.09/2.50 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20478, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 2.09/2.50 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 2.09/2.50 , clause( 20479, [ =( 'c_Complex_Ocomplex_OComplex'( hAPP( 'c_Complex_ORe'
% 2.09/2.50 , X ), hAPP( 'c_Complex_OIm', X ) ), X ) ] )
% 2.09/2.50 , clause( 20480, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 2.09/2.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 2.09/2.50 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 2.09/2.50 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20481, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 2.09/2.50 =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20482, [ ~( 'class_SEQ_Ocomplete__space'( X ) ), 'c_SEQ_OCauchy'(
% 2.09/2.50 Y, X ), ~( 'c_SEQ_Oconvergent'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20483, [ ~( 'class_SEQ_Ocomplete__space'( X ) ),
% 2.09/2.50 'c_SEQ_Oconvergent'( Y, X ), ~( 'c_SEQ_OCauchy'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20484, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Lim_OisUCont'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ),
% 2.09/2.50 X, X ) ] )
% 2.09/2.50 , clause( 20485, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_OCauchy'( Y, X ), ~( 'c_SEQ_Oconvergent'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20486, [ 'c_SEQ_Oconvergent'( X, 'tc_RealDef_Oreal' ), ~(
% 2.09/2.50 'c_SEQ_OCauchy'( X, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20487, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.09/2.50 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20488, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Series_Osums'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X
% 2.09/2.50 , 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 2.09/2.50 'c_Series_Osums'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20489, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20490, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 2.09/2.50 , =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.09/2.50 , clause( 20491, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP(
% 2.09/2.50 Z, T ), X, Y ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20492, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OZseq'( 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X
% 2.09/2.50 ), Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20493, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OZseq'( 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X
% 2.09/2.50 ), Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20494, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Series_Osums'( Y, 'c_Series_Osuminf'( Y, X ), X ), ~(
% 2.09/2.50 'c_Series_Osummable'( Y, X ) ) ] )
% 2.09/2.50 , clause( 20495, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'c_Series_Osummable'( Y, X ) ), 'c_Series_Osums'( Y, 'c_Series_Osuminf'(
% 2.09/2.50 Y, X ), X ) ] )
% 2.09/2.50 , clause( 20496, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_SEQ_OCauchy'(
% 2.09/2.50 'c_COMBB'( Z, T, X, Y, 'tc_nat' ), Y ), ~( 'c_SEQ_OCauchy'( T, X ) ), ~(
% 2.09/2.50 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20497, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 2.09/2.50 ~( 'c_Lim_OLIM'( Z, T, hAPP( Z, T ), X, Y ) ) ] )
% 2.09/2.50 , clause( 20498, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 2.09/2.50 ), X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ] )
% 2.09/2.50 , clause( 20499, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), Y ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ), Z ) ) ] )
% 2.09/2.50 , clause( 20500, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Z ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 2.09/2.50 , clause( 20501, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_Limits_Otendsto'( 'c_COMBB'( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z, X, X, T ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), U ), W, T, X ), ~(
% 2.09/2.50 'c_Limits_Otendsto'( Z, U, W, T, X ) ) ] )
% 2.09/2.50 , clause( 20502, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OCauchy'( 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'(
% 2.09/2.50 X ), Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_SEQ_OCauchy'( Z, X ) ) ] )
% 2.09/2.50 , clause( 20503, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ) ) ), =( Y,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ] )
% 2.09/2.50 , clause( 20504, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( hAPP(
% 2.09/2.50 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), Z ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), T ), Z ) ) ), =( Z,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ] )
% 2.09/2.50 , clause( 20505, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.09/2.50 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20506, [ 'c_Lim_OisUCont'( 'c_Complex_ORe', 'tc_Complex_Ocomplex'
% 2.09/2.50 , 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20507, [ =( hAPP( 'c_Complex_ORe', 'c_Complex_Ocomplex_OComplex'(
% 2.09/2.50 X, Y ) ), X ) ] )
% 2.09/2.50 , clause( 20508, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_Series_Osums'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, 'tc_nat' ), hAPP(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), Z ), X ), ~( 'c_Series_Osums'( Y, Z,
% 2.09/2.50 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20509, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), =( hAPP( Z,
% 2.09/2.50 'c_Series_Osuminf'( T, X ) ), 'c_Series_Osuminf'( 'c_COMBB'( Z, T, X, Y,
% 2.09/2.50 'tc_nat' ), Y ) ), ~( 'c_Series_Osummable'( T, X ) ), ~(
% 2.09/2.50 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20510, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 2.09/2.50 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( Y ), Z, Y,
% 2.09/2.50 'tc_RealDef_Oreal', X ), T, X, 'tc_RealDef_Oreal' ), ~( 'c_Lim_OisCont'(
% 2.09/2.50 Z, T, X, Y ) ) ] )
% 2.09/2.50 , clause( 20511, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_RealVector_Obounded__linear'( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), X, X ) ] )
% 2.09/2.50 , clause( 20512, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 2.09/2.50 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ] )
% 2.09/2.50 , clause( 20513, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 2.09/2.50 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ] )
% 2.09/2.50 , clause( 20514, [ 'c_Lim_OLIM'( 'c_Complex_OIm', X, hAPP( 'c_Complex_OIm'
% 2.09/2.50 , X ), 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20515, [ 'c_Lim_OisUCont'( 'c_Complex_OIm', 'tc_Complex_Ocomplex'
% 2.09/2.50 , 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20516, [ 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), hAPP(
% 2.09/2.50 'c_Complex_OIm', Y ), 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OLIMSEQ'( X, Y,
% 2.09/2.50 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20517, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W
% 2.09/2.50 ), 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 2.09/2.50 , clause( 20518, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X
% 2.09/2.50 , 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 2.09/2.50 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20519, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( Y, Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 2.09/2.50 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ] )
% 2.09/2.50 , clause( 20520, [ 'v_thesis____', ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'(
% 2.09/2.50 'c_Complex_OIm', 'c_COMBB'( 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____',
% 2.09/2.50 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 2.09/2.50 ), 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), X,
% 2.09/2.50 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20521, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_Oconvergent'( Y, X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20522, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_Oconvergent'( Y, X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20523, [ ~( =( hAPP( 'c_Complex_OIm', X ), hAPP( 'c_Complex_OIm'
% 2.09/2.50 , Y ) ) ), ~( =( hAPP( 'c_Complex_ORe', X ), hAPP( 'c_Complex_ORe', Y ) )
% 2.09/2.50 ), =( X, Y ) ] )
% 2.09/2.50 , clause( 20524, [ 'c_SEQ_Oconvergent'( 'c_COMBB'( 'c_Complex_ORe',
% 2.09/2.50 'c_COMBB'( 'v_s', 'v_f____', 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' )
% 2.09/2.50 , 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ),
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20525, [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ),
% 2.09/2.50 ~( 'c_SEQ_OLIMSEQ'( 'c_COMBK'( Y, X, 'tc_nat' ), Z, X ) ) ] )
% 2.09/2.50 , clause( 20526, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 2.09/2.50 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 2.09/2.50 , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ] )
% 2.09/2.50 , clause( 20527, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.09/2.50 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y, X
% 2.09/2.50 , 'tc_RealDef_Oreal', 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20528, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y, X
% 2.09/2.50 , 'tc_RealDef_Oreal', 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 2.09/2.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 2.09/2.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.09/2.50 , clause( 20529, [ 'c_SEQ_Osubseq'( 'v_ga____' ) ] )
% 2.09/2.50 , clause( 20530, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_RealVector_Onorm__class_Onorm'( X ), Y, X
% 2.09/2.50 , 'tc_RealDef_Oreal', 'tc_nat' ), hAPP( 'c_RealVector_Onorm__class_Onorm'(
% 2.09/2.50 X ), Z ), 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20531, [ =( hAPP( 'c_Complex_OIm', 'c_Complex_Ocomplex_OComplex'(
% 2.09/2.50 X, Y ) ), Y ) ] )
% 2.09/2.50 , clause( 20532, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 2.09/2.50 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T
% 2.09/2.50 , X ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ] )
% 2.09/2.50 , clause( 20533, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( Y, Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'(
% 2.09/2.50 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 2.09/2.50 , 'tc_nat', X, 'tc_nat' ), Z, X ) ) ] )
% 2.09/2.50 , clause( 20534, [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 2.09/2.50 'c_SEQ_Olim'( Y, X ), Z ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20535, [ 'c_Limits_Otendsto'( 'c_COMBB'( 'c_Complex_OIm', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', Y ), hAPP( 'c_Complex_OIm', Z
% 2.09/2.50 ), T, Y, 'tc_RealDef_Oreal' ), ~( 'c_Limits_Otendsto'( X, Z, T, Y,
% 2.09/2.50 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20536, [ 'c_SEQ_Omonoseq'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'(
% 2.09/2.50 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 2.09/2.50 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 2.09/2.50 'tc_RealDef_Oreal', 'tc_nat' ) ) ] )
% 2.09/2.50 , clause( 20537, [ 'c_SEQ_OZseq'( 'c_COMBB'( 'c_Complex_OIm', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 2.09/2.50 ), ~( 'c_SEQ_OZseq'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20538, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( 'c_COMBK'( Y, X, 'tc_nat' ), Y, X ) ] )
% 2.09/2.50 , clause( 20539, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( 'c_COMBK'( Y, X, 'tc_nat' ), Y, X ) ] )
% 2.09/2.50 , clause( 20540, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_SEQ_OLIMSEQ'(
% 2.09/2.50 'c_COMBB'( Z, T, X, Y, 'tc_nat' ), hAPP( Z, U ), Y ), ~( 'c_SEQ_OLIMSEQ'(
% 2.09/2.50 T, U, X ) ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ] )
% 2.09/2.50 , clause( 20541, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Z,
% 2.09/2.50 T, Y, X, 'tc_nat' ), U, X ), ~( 'c_SEQ_OLIMSEQ'( T, W, Y ) ), =( hAPP( T
% 2.09/2.50 , 'c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1'( T, W, Y ) ), W ), ~(
% 2.09/2.50 'c_Lim_OLIM'( Z, W, U, Y, X ) ) ] )
% 2.09/2.50 , clause( 20542, [ =( hAPP( 'c_Complex_OIm', 'c_Finite__Set_Osetsum'( X, Y
% 2.09/2.50 , Z, 'tc_Complex_Ocomplex' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 2.09/2.50 'c_Complex_OIm', X, 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', Z ), Y, Z
% 2.09/2.50 , 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20543, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBB'(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), Y, 'tc_RealDef_Oreal', X, 'tc_nat' ), hAPP(
% 2.09/2.50 'c_RealVector_Oof__real'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z,
% 2.09/2.50 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20544, [ 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_ORe', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), hAPP(
% 2.09/2.50 'c_Complex_ORe', Y ), 'tc_RealDef_Oreal' ), ~( 'c_SEQ_OLIMSEQ'( X, Y,
% 2.09/2.50 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20545, [ 'c_SEQ_OCauchy'( 'c_COMBB'( 'c_Complex_OIm', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 2.09/2.50 ), ~( 'c_SEQ_OCauchy'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20546, [ 'c_Series_Osums'( 'c_COMBB'( 'c_Complex_OIm', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), hAPP(
% 2.09/2.50 'c_Complex_OIm', Y ), 'tc_RealDef_Oreal' ), ~( 'c_Series_Osums'( X, Y,
% 2.09/2.50 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20547, [ 'c_Limits_OZfun'( 'c_COMBB'( 'c_Complex_OIm', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', Y ), Z, Y, 'tc_RealDef_Oreal'
% 2.09/2.50 ), ~( 'c_Limits_OZfun'( X, Z, Y, 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20548, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Y ) ), ~(
% 2.09/2.50 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OisCont'( 'c_COMBB'( T,
% 2.09/2.50 U, Z, Y, X ), W, X, Y ), ~( 'c_Lim_OisCont'( T, hAPP( U, W ), Z, Y ) ),
% 2.09/2.50 ~( 'c_Lim_OisCont'( U, W, X, Z ) ) ] )
% 2.09/2.50 , clause( 20549, [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ),
% 2.09/2.50 ~( 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ] )
% 2.09/2.50 , clause( 20550, [ 'c_SEQ_Oconvergent'( 'c_COMBB'( 'c_Complex_OIm',
% 2.09/2.50 'c_COMBB'( 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat',
% 2.09/2.50 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20551, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 2.09/2.50 , Z, X, X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 2.09/2.50 , T ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ] )
% 2.09/2.50 , clause( 20552, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 2.09/2.50 'c_Deriv_Odifferentiable'( 'c_COMBB'( Y, Z, X, X, X ), T, X ), ~(
% 2.09/2.50 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'( Y,
% 2.09/2.50 hAPP( Z, T ), X ) ) ] )
% 2.09/2.50 , clause( 20553, [ 'c_SEQ_Osubseq'( 'v_f____' ) ] )
% 2.09/2.50 , clause( 20554, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( 'c_COMBB'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'(
% 2.09/2.50 X ), Y ), Z, X, X, 'tc_nat' ), hAPP( hAPP(
% 2.09/2.50 'c_RealVector_OscaleR__class_OscaleR'( X ), Y ), T ), X ), ~(
% 2.09/2.50 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ] )
% 2.09/2.50 , clause( 20555, [ 'c_Lim_OisCont'( 'c_Complex_OIm', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20556, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_OCauchy'( Y, X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20557, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ),
% 2.09/2.50 ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ] )
% 2.09/2.50 , clause( 20558, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_SEQ_OLIMSEQ'( Y, Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc',
% 2.09/2.50 'tc_nat', X, 'tc_nat' ), Z, X ) ) ] )
% 2.09/2.50 , clause( 20559, [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP(
% 2.09/2.50 Y, W ) ) ) ] )
% 2.09/2.50 , clause( 20560, [ 'c_SEQ_Omonoseq'( 'c_COMBB'( 'c_Complex_ORe', 'c_COMBB'(
% 2.09/2.50 'v_s', 'v_f____', 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ) ) ] )
% 2.09/2.50 , clause( 20561, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 2.09/2.50 , 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X ), Y, X
% 2.09/2.50 , X, 'tc_nat' ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ),
% 2.09/2.50 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20562, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 2.09/2.50 'c_Lim_OLIM'( 'c_COMBB'( 'c_Complex_OIm', Y, 'tc_Complex_Ocomplex',
% 2.09/2.50 'tc_RealDef_Oreal', X ), Z, hAPP( 'c_Complex_OIm', T ), X,
% 2.09/2.50 'tc_RealDef_Oreal' ), ~( 'c_Lim_OLIM'( Y, Z, T, X, 'tc_Complex_Ocomplex'
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20563, [ =( hAPP( 'c_Complex_OIm', 'c_Series_Osuminf'( X,
% 2.09/2.50 'tc_Complex_Ocomplex' ) ), 'c_Series_Osuminf'( 'c_COMBB'( 'c_Complex_OIm'
% 2.09/2.50 , X, 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ),
% 2.09/2.50 'tc_RealDef_Oreal' ) ), ~( 'c_Series_Osummable'( X, 'tc_Complex_Ocomplex'
% 2.09/2.50 ) ) ] )
% 2.09/2.50 , clause( 20564, [ 'c_Series_Osummable'( 'c_COMBB'( 'c_Complex_OIm', X,
% 2.09/2.50 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), 'tc_RealDef_Oreal'
% 2.09/2.50 ), ~( 'c_Series_Osummable'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 2.09/2.50 , clause( 20565, [ 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'(
% 2.09/2.50 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 2.09/2.50 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 2.09/2.50 'tc_RealDef_Oreal', 'tc_nat' ), 'v_sko__CHAINED__1'( 'v_f____',
% 2.09/2.50 'v_ga____', 'v_s' ), 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20566, [ ~( 'v_thesis____' ) ] )
% 2.09/2.50 , clause( 20567, [ 'v_thesis____', ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'(
% 2.09/2.50 'c_Complex_OIm', 'c_COMBB'( 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____',
% 2.09/2.50 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 2.09/2.50 ), 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), X,
% 2.09/2.50 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.50 , clause( 20568, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ),
% 2.09/2.50 ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 2.09/2.50 , clause( 20569, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 2.09/2.50 'tc_nat' ) ] )
% 2.09/2.50 , clause( 20570, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20571, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20572, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20573, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20574, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20575, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20576, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 2.09/2.50 , clause( 20577, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 2.09/2.50 , clause( 20578, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 2.09/2.50 , clause( 20579, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 2.09/2.50 , clause( 20580, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 2.09/2.50 , clause( 20581, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 2.09/2.50 , clause( 20582, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 2.09/2.50 , clause( 20583, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20584, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20585, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20586, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20587, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20588, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20589, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20590, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20591, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20592, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20593, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20594, [ 'class_RealVector_Oreal__normed__algebra'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20595, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20596, [ 'class_RealVector_Oreal__normed__vector'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20597, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20598, [ 'class_Ring__and__Field_Odivision__ring'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20599, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20600, [ 'class_RealVector_Otopological__space'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20601, [ 'class_RealVector_Oreal__normed__field'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20602, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20603, [ 'class_Ring__and__Field_Osemiring__0'(
% 2.09/2.50 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20604, [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal'
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20605, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20606, [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal'
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20607, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20608, [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20609, [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20610, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20611, [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20612, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20613, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20614, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20615, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20616, [ 'class_SEQ_Ocomplete__space'( 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20617, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20618, [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20619, [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ] )
% 2.09/2.50 , clause( 20620, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20621, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20622, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20623, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20624, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20625, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20626, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20627, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20628, [ 'class_RealVector_Oreal__normed__algebra'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20629, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20630, [ 'class_RealVector_Oreal__normed__vector'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20631, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20632, [ 'class_Ring__and__Field_Odivision__ring'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20633, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20634, [ 'class_RealVector_Otopological__space'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20635, [ 'class_RealVector_Oreal__normed__field'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20636, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20637, [ 'class_Ring__and__Field_Osemiring__0'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20638, [ 'class_RealVector_Oreal__algebra__1'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20639, [ 'class_OrderedGroup_Oab__group__add'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20640, [ 'class_Ring__and__Field_Omult__zero'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20641, [ 'class_Ring__and__Field_Osemiring'(
% 2.09/2.50 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20642, [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex'
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20643, [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex'
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20644, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20645, [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex'
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20646, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 2.09/2.50 ) ] )
% 2.09/2.50 , clause( 20647, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20648, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20649, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 2.09/2.50 ] )
% 2.09/2.50 , clause( 20650, [ 'class_SEQ_Ocomplete__space'( 'tc_Complex_Ocomplex' ) ]
% 2.09/2.50 )
% 2.09/2.50 , clause( 20651, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20652, [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20653, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 2.09/2.50 , clause( 20654, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X
% 2.09/2.50 , W ), Y ) ) ] )
% 2.09/2.50 , clause( 20655, [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP(
% 2.09/2.50 Y, W ) ) ) ] )
% 2.09/2.50 , clause( 20656, [ 'c_fequal'( X, X, Y ) ] )
% 2.09/2.50 , clause( 20657, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 2.09/2.51 ] ).
% 2.09/2.51
% 2.09/2.51
% 2.09/2.51
% 2.09/2.51 subsumption(
% 2.09/2.51 clause( 327, [ 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'(
% 2.09/2.51 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 2.09/2.51 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 2.09/2.51 'tc_RealDef_Oreal', 'tc_nat' ), 'v_sko__CHAINED__1'( 'v_f____',
% 2.09/2.51 'v_ga____', 'v_s' ), 'tc_RealDef_Oreal' ) ] )
% 2.09/2.51 , clause( 20565, [ 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'(
% 2.09/2.51 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 2.09/2.51 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 2.09/2.51 'tc_RealDef_Oreal', 'tc_nat' ), 'v_sko__CHAINED__1'( 'v_f____',
% 2.09/2.51 'v_ga____', 'v_s' ), 'tc_RealDef_Oreal' ) ] )
% 2.09/2.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.09/2.51
% 2.09/2.51
% 2.09/2.51 subsumption(
% 2.09/2.51 clause( 328, [ ~( 'v_thesis____' ) ] )
% 2.09/2.51 , clause( 20566, [ ~( 'v_thesis____' ) ] )
% 2.09/2.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.09/2.51
% 2.09/2.51
% 2.09/2.51 resolution(
% 2.09/2.51 clause( 21805, [ ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'(
% 2.09/2.51 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 2.09/2.51 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 2.09/2.51 'tc_RealDef_Oreal', 'tc_nat' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.51 , clause( 328, [ ~( 'v_thesis____' ) ] )
% 2.09/2.51 , 0, clause( 20520, [ 'v_thesis____', ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'(
% 2.09/2.51 'c_Complex_OIm', 'c_COMBB'( 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____',
% 2.09/2.51 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 2.09/2.51 ), 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), X,
% 2.09/2.51 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.51 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 2.09/2.51
% 2.09/2.51
% 2.09/2.51 subsumption(
% 2.09/2.51 clause( 329, [ ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'(
% 2.09/2.51 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 2.09/2.51 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 2.09/2.51 'tc_RealDef_Oreal', 'tc_nat' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.51 , clause( 21805, [ ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm',
% 2.09/2.51 'c_COMBB'( 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat',
% 2.09/2.51 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 2.09/2.51 'tc_Complex_Ocomplex', 'tc_RealDef_Oreal', 'tc_nat' ), X,
% 2.09/2.51 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.51 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.09/2.51
% 2.09/2.51
% 2.09/2.51 resolution(
% 2.09/2.51 clause( 21806, [] )
% 2.09/2.51 , clause( 329, [ ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'(
% 2.09/2.51 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 2.09/2.51 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 2.09/2.51 'tc_RealDef_Oreal', 'tc_nat' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.09/2.51 , 0, clause( 327, [ 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Complex_OIm', 'c_COMBB'(
% 2.09/2.51 'v_s', 'c_COMBB'( 'v_f____', 'v_ga____', 'tc_nat', 'tc_nat', 'tc_nat' ),
% 2.09/2.51 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 2.09/2.51 'tc_RealDef_Oreal', 'tc_nat' ), 'v_sko__CHAINED__1'( 'v_f____',
% 2.09/2.51 'v_ga____', 'v_s' ), 'tc_RealDef_Oreal' ) ] )
% 2.09/2.51 , 0, substitution( 0, [ :=( X, 'v_sko__CHAINED__1'( 'v_f____', 'v_ga____',
% 2.09/2.51 'v_s' ) )] ), substitution( 1, [] )).
% 2.09/2.51
% 2.09/2.51
% 2.09/2.51 subsumption(
% 2.09/2.51 clause( 20179, [] )
% 2.09/2.51 , clause( 21806, [] )
% 2.09/2.51 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.09/2.51
% 2.09/2.51
% 2.09/2.51 end.
% 2.09/2.51
% 2.09/2.51 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.09/2.51
% 2.09/2.51 Memory use:
% 2.09/2.51
% 2.09/2.51 space for terms: 780291
% 2.09/2.51 space for clauses: 986377
% 2.09/2.51
% 2.09/2.51
% 2.09/2.51 clauses generated: 124951
% 2.09/2.51 clauses kept: 20180
% 2.09/2.51 clauses selected: 505
% 2.09/2.51 clauses deleted: 54
% 2.09/2.51 clauses inuse deleted: 0
% 2.09/2.51
% 2.09/2.51 subsentry: 174704
% 2.09/2.51 literals s-matched: 109042
% 2.09/2.51 literals matched: 107758
% 2.09/2.51 full subsumption: 78000
% 2.09/2.51
% 2.09/2.51 checksum: -483644926
% 2.09/2.51
% 2.09/2.51
% 2.09/2.51 Bliksem ended
%------------------------------------------------------------------------------