TSTP Solution File: ALG365-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 : 300s
% DateTime : Wed Jul 27 12:46:35 EDT 2022
% Result : Unsatisfiable 123.30s 123.46s
% Output : Refutation 123.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-5 aty)
% Number of variables : 2 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(329,axiom,
~ v_thesis____,
file('ALG365-1.p',unknown),
[] ).
cnf(330,axiom,
( v_thesis____
| ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),A,tc_RealDef_Oreal) ),
file('ALG365-1.p',unknown),
[] ).
cnf(331,plain,
~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),A,tc_RealDef_Oreal),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[330]),329]),
[iquote('copy,330,unit_del,329')] ).
cnf(422,axiom,
c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
file('ALG365-1.p',unknown),
[] ).
cnf(423,plain,
$false,
inference(binary,[status(thm)],[422,331]),
[iquote('binary,422.1,331.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 03:54:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 123.30/123.42 ----- Otter 3.3f, August 2004 -----
% 123.30/123.42 The process was started by sandbox on n028.cluster.edu,
% 123.30/123.42 Wed Jul 27 03:54:03 2022
% 123.30/123.42 The command was "./otter". The process ID is 28609.
% 123.30/123.42
% 123.30/123.42 set(prolog_style_variables).
% 123.30/123.42 set(auto).
% 123.30/123.42 dependent: set(auto1).
% 123.30/123.42 dependent: set(process_input).
% 123.30/123.42 dependent: clear(print_kept).
% 123.30/123.42 dependent: clear(print_new_demod).
% 123.30/123.42 dependent: clear(print_back_demod).
% 123.30/123.42 dependent: clear(print_back_sub).
% 123.30/123.42 dependent: set(control_memory).
% 123.30/123.42 dependent: assign(max_mem, 12000).
% 123.30/123.42 dependent: assign(pick_given_ratio, 4).
% 123.30/123.42 dependent: assign(stats_level, 1).
% 123.30/123.42 dependent: assign(max_seconds, 10800).
% 123.30/123.42 clear(print_given).
% 123.30/123.42
% 123.30/123.42 list(usable).
% 123.30/123.42 0 [] A=A.
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_g,T_b,tc_fun(T_b,T_b),T_a),V_y,T_a,T_b,T_b),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_f,T_b,tc_fun(T_b,T_b),T_a),V_c,T_a,T_b,T_b),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)|c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_g,T_b,tc_fun(T_b,T_b),T_a),V_y,T_a,T_b,T_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_a),V_y),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)|c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_g,T_b,tc_fun(T_b,T_b),T_a),V_y,T_a,T_b,T_b),V_net,T_a,T_b)| -c_Limits_OZfun(V_g,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)|c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_f,T_b,tc_fun(T_b,T_b),T_a),V_a,T_a,T_b,T_b),V_net,T_a,T_b)| -c_Limits_OZfun(V_f,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_b),V_g,T_b,tc_fun(T_b,T_b),T_a),V_y,T_a,T_b,T_b),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_l),V_y),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a)),V_y)=c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_a),V_g,T_a,tc_fun(T_a,T_a),T_b),V_y,T_b,T_a,T_a),V_A,T_b,T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Osemiring__0(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)),V_r)=c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_r,T_b,T_a,T_a),V_A,T_b,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,tc_RealDef_Oreal)),V_x)=c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_a),V_g,tc_RealDef_Oreal,tc_fun(T_a,T_a),T_b),V_x,T_b,T_a,T_a),V_A,T_b,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_g,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_x,T_a,T_b,T_b),V_a,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_l),V_x),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_g,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_x,T_a,T_b,T_b),V_net,T_a,T_b)| -c_Limits_OZfun(V_g,V_net,T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_f,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_a,T_a,T_b,T_b),V_net,T_a,T_b)| -c_Limits_OZfun(V_f,V_net,T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_g,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_x,T_a,T_b,T_b),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_a),V_x),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)!=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)|V_a=V_b.
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a)| -c_SEQ_OCauchy(V_X,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),T_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OZse_q(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a)| -c_SEQ_OZse_q(V_X,T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_ry)).
% 123.30/123.42 0 [] -class_SEQ_Obanach(T_a)|c_Series_Osummable(V_f,T_a)| -c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_f,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__algebra__1(T_a)|hAPP(c_RealVector_Oof__real(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|hAPP(c_RealVector_Oof__real(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a),T_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Oreal__normed__div__algebra(T_b)|c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(T_b),V_f,T_b,T_b,T_a),V_a,T_a,T_b)|hAPP(V_f,V_a)=c_HOL_Ozero__class_Ozero(T_b)| -c_Lim_OisCont(V_f,V_a,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Deriv_Odifferentiable(c_COMBK(V_a,T_a,T_a),V_x,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OZse_q(V_X,T_a)| -c_SEQ_OZse_q(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OZse_q(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_SEQ_OZse_q(V_X,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),T_a)| -c_SEQ_OCauchy(V_X,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a,T_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_f,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_c,T_a,T_b,T_b),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(T_b),V_g,tc_RealDef_Oreal,tc_fun(T_b,T_b),T_a),V_x,T_a,T_b,T_b),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_Lattices_Oboolean__algebra(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)!=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)|V_x=V_y.
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|V_k=c_HOL_Ozero__class_Ozero(T_a)| -c_SEQ_OZse_q(c_COMBK(V_k,T_a,tc_nat),T_a).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_b)| -class_RealVector_Oreal__normed__algebra__1(T_a)|V_L=V_M| -c_Lim_OLIM(V_f,V_a,V_M,T_a,T_b)| -c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal)| -c_Limits_OZfun(V_f,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_OZfun(V_f,V_net,T_a,T_b)| -c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Ometric__space(T_b)|c_Lim_OisCont(c_COMBK(V_k,T_b,T_a),V_a,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),V_net,T_a,T_b)| -c_Limits_OZfun(V_f,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oring(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oring(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|c_Lim_OisUCont(V_f,T_a,T_b)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_SEQ_OZse_q(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),T_a)| -c_SEQ_OZse_q(V_X,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_SEQ_OZse_q(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_X,T_a,T_a,tc_nat),T_a)| -c_SEQ_OZse_q(V_X,T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y).
% 123.30/123.42 0 [] c_Limits_OZfun(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal)| -c_Limits_OZfun(V_g,V_net,T_a,tc_Complex_Ocomplex).
% 123.30/123.42 0 [] c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_SEQ_OCauchy(V_X,tc_Complex_Ocomplex).
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b))=V_b.
% 123.30/123.42 0 [] c_Complex_Ocomplex_OComplex(V_real1,V_real2)!=c_Complex_Ocomplex_OComplex(V_real1_H,V_real2_H)|V_real2=V_real2_H.
% 123.30/123.42 0 [] c_Complex_Ocomplex_OComplex(V_real1,V_real2)!=c_Complex_Ocomplex_OComplex(V_real1_H,V_real2_H)|V_real1=V_real1_H.
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Oreal__algebra__1(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_c))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_d))|V_c=V_d|V_r=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y))!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y))!=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] V_n!=hAPP(c_Suc,V_n).
% 123.30/123.42 0 [] hAPP(c_Suc,V_n)!=V_n.
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Lim_OLIM(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a),T_a,T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)=V_x.
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_g,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_c),V_f,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),T_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__algebra__1(T_a)|hAPP(c_RealVector_Oof__real(T_a),V_x)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)!=hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b)|V_a=V_b.
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)!=hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b)|V_a=V_b|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_b),V_a),V_net,T_a,T_b)| -c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b)| -c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_b),V_a),V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Ometric__space(T_c)|c_Lim_OLIM(c_COMBB(V_f,V_g,T_a,T_b,T_c),V_a,c_HOL_Ozero__class_Ozero(T_b),T_c,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_a),T_c,T_a)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)).
% 123.30/123.42 0 [] c_Lim_OLIM(c_Complex_ORe,V_a,hAPP(c_Complex_ORe,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a)| -c_Series_Osummable(V_X,T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Oab__semigroup__mult(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_rx)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ry)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_z).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_y)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_b_H))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b_H)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_ya)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_ya)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a_H)),V_b)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a_H),V_b)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)| -class_HOL_Ozero(T_a)| -class_RealVector_Oreal__normed__algebra__1(T_b)| -c_Lim_OLIM(c_COMBK(V_k,T_a,T_b),V_a,c_HOL_Ozero__class_Ozero(T_a),T_b,T_a)|V_k=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),c_Series_Osuminf(V_X,T_a))=c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),T_a)| -c_Series_Osummable(V_X,T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)!=V_a|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_m))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_m).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(T_a),V_b,T_a,T_a,T_a),T_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)),V_y)=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x))=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_x)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oidom(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oring(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Oreal__algebra__1(T_b)|c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),V_net,T_a,T_b)| -c_Limits_OZfun(V_g,V_net,T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)|c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_g,T_b,T_b,T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_a),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_g,T_b,T_b,T_a),V_net,T_a,T_b)| -c_Limits_OZfun(V_g,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_a),V_f,T_b,T_b,T_a),V_net,T_a,T_b)| -c_Limits_OZfun(V_f,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a))),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b))|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b))|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] c_SEQ_OZse_q(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_SEQ_OZse_q(V_X,tc_Complex_Ocomplex).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),c_Series_Osuminf(V_X,T_a))=c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),T_a)| -c_Series_Osummable(V_X,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_f,T_a,T_a,tc_nat),T_a)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),c_Series_Osuminf(V_f,T_a))| -c_Series_Osummable(V_f,T_a).
% 123.30/123.42 0 [] hAPP(c_Complex_ORe,c_Series_Osuminf(V_X,tc_Complex_Ocomplex))=c_Series_Osuminf(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_Series_Osummable(V_X,tc_Complex_Ocomplex).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_g,T_b,T_b,T_a),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_l),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_a,hAPP(c_Complex_ORe,V_l),T_a,tc_RealDef_Oreal)| -c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_Complex_Ocomplex).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_f,T_a,T_a,T_a),V_x,T_a)| -c_Deriv_Odifferentiable(V_f,V_x,T_a).
% 123.30/123.42 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)|V_m=V_n.
% 123.30/123.42 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)|V_m=V_n.
% 123.30/123.42 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)|V_y=V_z.
% 123.30/123.42 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)|V_y=V_z.
% 123.30/123.42 0 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)|V_b=V_c.
% 123.30/123.42 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)|V_b=V_c.
% 123.30/123.42 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)|V_b=V_c.
% 123.30/123.42 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_b)),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a))|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Oreal__normed__algebra__1(T_b)| -c_Lim_OLIM(c_COMBK(V_k,T_a,T_b),V_a,V_L,T_b,T_a)|V_k=V_L.
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_b)| -class_RealVector_Oreal__normed__algebra__1(T_a)|V_k=V_L| -c_Lim_OLIM(c_COMBK(V_k,T_b,T_a),V_a,V_L,T_a,T_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a))=V_a|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a))=c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_g,T_a,T_a,T_b),V_A,T_b,T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Osemiring__0(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a))=c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_f,T_a,T_a,T_b),V_A,T_b,T_a).
% 123.30/123.42 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__div__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(T_b),V_f,T_b,T_b,T_a),V_a,hAPP(c_HOL_Oinverse__class_Oinverse(T_b),V_L),T_a,T_b)|V_L=c_HOL_Ozero__class_Ozero(T_b)| -c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),V_a,T_a,T_b)| -c_Lim_OisCont(V_f,V_a,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a)=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Series_Osuminf(V_X,T_a))| -c_Series_Osummable(V_X,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a)),V_b)=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_x)),V_y)=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_b))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)!=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ono__zero__divisors(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)!=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ono__zero__divisors(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osummable(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,tc_nat),T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Oreal__algebra__1(T_b)|c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),hAPP(c_RealVector_Oof__real(T_b),V_a),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osums(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,tc_nat),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Ometric__space(T_b)|c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),hAPP(V_f,V_x),T_a,T_b)| -c_Lim_OisCont(V_f,V_x,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Ometric__space(T_b)|c_Lim_OisCont(V_f,V_x,T_a,T_b)| -c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),hAPP(V_f,V_x),T_a,T_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oidom(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b)|V_a=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)|V_a=V_b.
% 123.30/123.42 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(T_a),V_y,T_a,T_a,T_a),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_y),T_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Ometric__space(T_b)|c_Lim_OisCont(V_f,V_x,T_a,T_b)| -c_Lim_OisUCont(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_c),V_f,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_g,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a),T_a)| -c_Series_Osums(V_X,V_a,T_a).
% 123.30/123.42 0 [] c_Lim_OisCont(c_Complex_ORe,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),T_a)| -c_Series_Osummable(V_X,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x))=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_b)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__algebra__1(T_a)|hAPP(c_RealVector_Oof__real(T_a),V_x)!=hAPP(c_RealVector_Oof__real(T_a),V_y)|V_x=V_y.
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_b),V_L),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osuminf(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,tc_nat),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|c_SEQ_OZse_q(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b)| -c_SEQ_OZse_q(V_X,T_a)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Ometric__space(T_b)| -class_RealVector_Ometric__space(T_c)|c_Lim_OLIM(c_COMBB(V_g,V_f,T_a,T_b,T_c),V_a,hAPP(V_g,V_l),T_c,T_b)| -c_Lim_OLIM(V_f,V_a,V_l,T_c,T_a)| -c_Lim_OisCont(V_g,V_l,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Oreal__algebra__1(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),V_a,hAPP(c_RealVector_Oof__real(T_b),V_l),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex))=c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_c)|c_Lim_OLIM(c_COMBB(V_f,V_g,T_a,T_b,T_c),V_a,hAPP(V_f,V_l),T_c,T_b)| -c_Lim_OLIM(V_g,V_a,V_l,T_c,T_a)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)|c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_a),V_f,T_b,T_b,T_a),V_net,T_a,T_b)| -c_Limits_OZfun(V_f,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_b)|c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_g,T_b,T_b,T_a),V_net,T_a,T_b)| -c_Limits_OZfun(V_g,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a))=V_a.
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(T_a),V_f,T_a,T_a,T_a),V_x,T_a)|hAPP(V_f,V_x)=c_HOL_Ozero__class_Ozero(T_a)| -c_Deriv_Odifferentiable(V_f,V_x,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Oreal__normed__vector(T_a)|c_Limits_Otendsto(c_COMBB(V_f,V_g,T_a,T_b,T_c),hAPP(V_f,V_a),V_net,T_c,T_b)| -c_Limits_Otendsto(V_g,V_a,V_net,T_c,T_a)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x).
% 123.30/123.42 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(T_a),V_y,T_a,T_a,T_a),V_a,T_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal)| -c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)).
% 123.30/123.42 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z).
% 123.30/123.42 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)).
% 123.30/123.42 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)).
% 123.30/123.42 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)).
% 123.30/123.42 0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__algebra__1(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_x)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_RealVector_Oof__real(T_a),V_r)),V_x).
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)|c_HOL_Ozero__class_Ozero(T_a)=V_a.
% 123.30/123.42 0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 123.30/123.42 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|c_Series_Osummable(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b)| -c_Series_Osummable(V_X,T_a)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__div__algebra(T_b)|c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(T_b),V_f,T_b,T_b,T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_b),V_a),V_net,T_a,T_b)|V_a=c_HOL_Ozero__class_Ozero(T_b)| -c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),V_b)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Osemiring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_c))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(V_X,c_SEQ_Olim(V_X,T_a),T_a)| -c_SEQ_Oconvergent(V_X,T_a).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_Oconvergent(V_X,T_a)| -c_SEQ_OLIMSEQ(V_X,c_SEQ_Olim(V_X,T_a),T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_b)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_a)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_a)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|c_Lim_OisCont(V_f,V_a,T_a,T_b)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|hAPP(c_RealVector_Oof__real(T_a),c_Series_Osuminf(V_X,tc_RealDef_Oreal))=c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a)| -c_Series_Osummable(V_X,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_g,T_a,T_a,tc_nat),T_a)=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_SEQ_Olim(V_g,T_a))| -c_SEQ_Oconvergent(V_g,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a))=c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_g,T_a,T_a,T_b),V_A,T_b,T_a).
% 123.30/123.42 0 [] c_Series_Osummable(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_Series_Osummable(V_X,tc_Complex_Ocomplex).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,hAPP(c_RealVector_Onorm__class_Onorm(T_b),V_l),T_a,tc_RealDef_Oreal)| -c_Lim_OLIM(V_f,V_a,V_l,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a)| -c_SEQ_Oconvergent(V_X,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_Oconvergent(V_X,T_a)| -c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(T_a),V_a,hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a),T_a,T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_y)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_b_H))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_b)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_b_H)).
% 123.30/123.42 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))!=V_y|V_x=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_z).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Oreal__normed__vector(T_a)|c_Limits_OZfun(c_COMBB(V_f,V_g,T_a,T_b,T_c),V_net,T_c,T_b)| -c_Limits_OZfun(V_g,V_net,T_c,T_a)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(T_a),V_y,T_a,T_a,T_a),T_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OZse_q(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,tc_nat),T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_f,T_a,T_a,T_b),V_A,T_b,T_a)=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)).
% 123.30/123.42 0 [] -class_OrderedGroup_Omonoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 123.30/123.42 0 [] -class_OrderedGroup_Omonoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 123.30/123.42 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 123.30/123.42 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)=V_x.
% 123.30/123.42 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))=V_b.
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)).
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)).
% 123.30/123.42 0 [] -class_Lattices_Oboolean__algebra(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x))=V_x.
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))=V_a.
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a)| -c_Series_Osummable(V_X,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_x))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_x)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)),V_y)=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_y))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)).
% 123.30/123.42 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)=V_u.
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Oreal__normed__algebra__1(T_b)|c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(T_b),V_f,tc_RealDef_Oreal,T_b,T_a),V_a,T_a,T_b)| -c_Lim_OisCont(V_f,V_a,T_a,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|hAPP(V_f,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_x))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),hAPP(V_f,V_x))| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Ometric__space(T_b)|c_SEQ_OCauchy(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b)| -c_SEQ_OCauchy(V_X,T_a)| -c_Lim_OisUCont(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_b)| -class_RealVector_Oreal__normed__vector(T_a)|c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b)| -c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),V_L,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_b)| -class_RealVector_Oreal__normed__vector(T_a)|c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),V_L,T_a,T_b)| -c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Ometric__space(T_b)|c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b)| -c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),hAPP(V_f,V_a),T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Ometric__space(T_b)|c_Lim_OLIM(c_COMBB(V_f,hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),T_a,T_b,T_a),c_HOL_Ozero__class_Ozero(T_a),hAPP(V_f,V_a),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_f,T_a,T_a,tc_nat),T_a)| -c_Series_Osummable(V_f,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),T_a)| -c_Series_Osummable(V_X,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a),T_a)| -c_Series_Osums(V_X,V_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_f,T_a,T_a,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),T_a)| -c_Series_Osums(V_f,V_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_OZfun(c_COMBK(c_HOL_Ozero__class_Ozero(T_b),T_b,T_a),V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osummable(V_f,T_a)| -c_Series_Osums(V_f,V_l,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osummable(V_f,T_a)| -c_Series_Osums(V_f,V_x,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a,T_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),hAPP(c_RealVector_Onorm__class_Onorm(T_b),V_a),V_net,T_a,tc_RealDef_Oreal)| -c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b).
% 123.30/123.42 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n)=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)).
% 123.30/123.42 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)).
% 123.30/123.42 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,T_b),V_A,T_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x))=hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_b))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_b)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_b),V_x))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_b),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_ra),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_x))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_ra),V_x)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|c_SEQ_OZse_q(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a)| -c_SEQ_OZse_q(V_X,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Otopological__space(T_b)|c_Limits_Otendsto(c_COMBK(V_k,T_b,T_a),V_k,V_net,T_a,T_b).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a).
% 123.30/123.42 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x).
% 123.30/123.42 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBK(V_k,T_b,T_a),V_x,V_k,T_a,T_b).
% 123.30/123.42 0 [] hAPP(c_Suc,V_nat)!=hAPP(c_Suc,V_nat_H)|V_nat=V_nat_H.
% 123.30/123.42 0 [] hAPP(c_Suc,V_x)!=hAPP(c_Suc,V_y)|V_x=V_y.
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)!=c_HOL_Ozero__class_Ozero(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)=V_b.
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|hAPP(c_RealVector_Oof__real(T_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,tc_RealDef_Oreal))=c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(T_a),V_g,tc_RealDef_Oreal,T_a,T_b),V_A,T_b,T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))|V_c=V_d|V_a=V_b.
% 123.30/123.42 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y))|V_y=V_z|V_w=V_x.
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a))|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Omult__zero(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Omult__zero(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osummable(c_COMBB(V_f,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),V_k,tc_nat,tc_nat,tc_nat),tc_nat,T_a,tc_nat),T_a)| -c_Series_Osummable(V_f,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_g,T_b,T_b,T_a),V_a,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_l),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b).
% 123.30/123.42 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_z)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=V_y.
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b))=V_b.
% 123.30/123.42 0 [] c_Limits_Otendsto(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),hAPP(c_Complex_ORe,V_a),V_net,T_a,tc_RealDef_Oreal)| -c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_Complex_Ocomplex).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|c_Series_Osums(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),hAPP(V_f,V_a),T_b)| -c_Series_Osums(V_X,V_a,T_a)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(V_f,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_Series_Osummable(V_f,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|V_s=c_Series_Osuminf(V_f,T_a)| -c_Series_Osums(V_f,V_s,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osuminf(V_f,T_a)=V_x| -c_Series_Osums(V_f,V_x,T_a).
% 123.30/123.42 0 [] c_Series_Osums(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,V_a),tc_RealDef_Oreal)| -c_Series_Osums(V_X,V_a,tc_Complex_Ocomplex).
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)=hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)).
% 123.30/123.42 0 [] c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_Complex_OIm,V_z))=V_z.
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_SEQ_Ocomplete__space(T_a)|c_SEQ_OCauchy(V_X,T_a)| -c_SEQ_Oconvergent(V_X,T_a).
% 123.30/123.42 0 [] -class_SEQ_Ocomplete__space(T_a)|c_SEQ_Oconvergent(V_X,T_a)| -c_SEQ_OCauchy(V_X,T_a).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),T_a,T_a).
% 123.30/123.42 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OCauchy(V_X,T_a)| -c_SEQ_Oconvergent(V_X,T_a).
% 123.30/123.42 0 [] c_SEQ_Oconvergent(V_X,tc_RealDef_Oreal)| -c_SEQ_OCauchy(V_X,tc_RealDef_Oreal).
% 123.30/123.42 0 [] -class_Ring__and__Field_Oring(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)).
% 123.30/123.42 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)| -c_Series_Osums(V_X,V_a,T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.42 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OZse_q(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),T_a)| -c_SEQ_OZse_q(V_X,T_a).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OZse_q(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_X,T_a,T_a,tc_nat),T_a)| -c_SEQ_OZse_q(V_X,T_a).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osums(V_f,c_Series_Osuminf(V_f,T_a),T_a)| -c_Series_Osummable(V_f,T_a).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Series_Osummable(V_f,T_a)|c_Series_Osums(V_f,c_Series_Osuminf(V_f,T_a),T_a).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|c_SEQ_OCauchy(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b)| -c_SEQ_OCauchy(V_X,T_a)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Ometric__space(T_b)|c_Lim_OisCont(V_f,V_a,T_a,T_b)| -c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Ometric__space(T_b)|c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b)| -c_Lim_OisCont(V_f,V_a,T_a,T_b).
% 123.30/123.43 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x)=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),V_y).
% 123.30/123.43 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_g,T_b,T_b,T_a),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_b),V_r),V_a),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),T_a)| -c_SEQ_OCauchy(V_X,T_a).
% 123.30/123.43 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)!=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_y)|V_a=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x=V_y.
% 123.30/123.43 0 [] -class_RealVector_Oreal__vector(T_a)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),V_x)!=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_b),V_x)|V_x=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 123.30/123.43 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)))=c_HOL_Ozero__class_Ozero(T_a).
% 123.30/123.43 0 [] c_Lim_OisUCont(c_Complex_ORe,tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.43 0 [] hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(V_x,V_y))=V_x.
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|c_Series_Osums(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),hAPP(c_RealVector_Oof__real(T_a),V_a),T_a)| -c_Series_Osums(V_X,V_a,tc_RealDef_Oreal).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|hAPP(V_f,c_Series_Osuminf(V_X,T_a))=c_Series_Osuminf(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b)| -c_Series_Osummable(V_X,T_a)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,T_a,tc_RealDef_Oreal)| -c_Lim_OisCont(V_f,V_a,T_a,T_b).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_a),T_a,T_a).
% 123.30/123.43 0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)).
% 123.30/123.43 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)).
% 123.30/123.43 0 [] c_Lim_OLIM(c_Complex_OIm,V_a,hAPP(c_Complex_OIm,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.43 0 [] c_Lim_OisUCont(c_Complex_OIm,tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.43 0 [] c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,V_a),tc_RealDef_Oreal)| -c_SEQ_OLIMSEQ(V_X,V_a,tc_Complex_Ocomplex).
% 123.30/123.43 0 [] c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a)=c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(V_X,V_a,T_a)| -c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a).
% 123.30/123.43 0 [] v_thesis____| -c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),V_y,tc_RealDef_Oreal).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_Oconvergent(V_X,T_a)| -c_SEQ_OLIMSEQ(V_X,V_L,T_a).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_Oconvergent(V_X,T_a)| -c_SEQ_OLIMSEQ(V_X,V_x,T_a).
% 123.30/123.43 0 [] hAPP(c_Complex_OIm,V_x)!=hAPP(c_Complex_OIm,V_y)|hAPP(c_Complex_ORe,V_x)!=hAPP(c_Complex_ORe,V_y)|V_x=V_y.
% 123.30/123.43 0 [] c_SEQ_Oconvergent(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|V_k=V_l| -c_SEQ_OLIMSEQ(c_COMBK(V_k,T_a,tc_nat),V_l,T_a).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Ometric__space(T_b)| -class_RealVector_Ometric__space(T_c)|c_Lim_OLIM(c_COMBB(V_g,V_f,T_a,T_b,T_c),V_a,hAPP(V_g,V_l),T_c,T_b)| -c_Lim_OLIM(V_f,V_a,V_l,T_c,T_a)| -c_Lim_OLIM(V_g,V_l,hAPP(V_g,V_l),T_a,T_b).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(V_X,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_SEQ_OLIMSEQ(V_X,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 123.30/123.43 0 [] c_SEQ_Osubse_q(v_ga____).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a),tc_RealDef_Oreal)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 123.30/123.43 0 [] hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(V_x,V_y))=V_y.
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(c_COMBB(V_f,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),V_k,tc_nat,tc_nat,tc_nat),tc_nat,T_a,tc_nat),V_a,T_a)| -c_SEQ_OLIMSEQ(V_f,V_a,T_a).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(V_f,V_a,T_a)| -c_SEQ_OLIMSEQ(c_COMBB(V_f,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),V_k,tc_nat,tc_nat,tc_nat),tc_nat,T_a,tc_nat),V_a,T_a).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_Olim(V_X,T_a)=V_L| -c_SEQ_OLIMSEQ(V_X,V_L,T_a).
% 123.30/123.43 0 [] c_Limits_Otendsto(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),hAPP(c_Complex_OIm,V_a),V_net,T_a,tc_RealDef_Oreal)| -c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_Complex_Ocomplex).
% 123.30/123.43 0 [] c_SEQ_Omonose_q(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)).
% 123.30/123.43 0 [] c_SEQ_OZse_q(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_SEQ_OZse_q(V_X,tc_Complex_Ocomplex).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(c_COMBK(V_k,T_a,tc_nat),V_k,T_a).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(c_COMBK(V_x,T_a,tc_nat),V_x,T_a).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__normed__vector(T_b)|c_SEQ_OLIMSEQ(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),hAPP(V_f,V_a),T_b)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a)| -c_RealVector_Obounded__linear(V_f,T_a,T_b).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_b)| -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(c_COMBB(V_X,V_S,T_a,T_b,tc_nat),V_L,T_b)| -c_SEQ_OLIMSEQ(V_S,V_a,T_a)|hAPP(V_S,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(V_S,V_a,T_a))=V_a| -c_Lim_OLIM(V_X,V_a,V_L,T_a,T_b).
% 123.30/123.43 0 [] hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex))=c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),hAPP(c_RealVector_Oof__real(T_a),V_a),T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,tc_RealDef_Oreal).
% 123.30/123.43 0 [] c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,V_a),tc_RealDef_Oreal)| -c_SEQ_OLIMSEQ(V_X,V_a,tc_Complex_Ocomplex).
% 123.30/123.43 0 [] c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_SEQ_OCauchy(V_X,tc_Complex_Ocomplex).
% 123.30/123.43 0 [] c_Series_Osums(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,V_a),tc_RealDef_Oreal)| -c_Series_Osums(V_X,V_a,tc_Complex_Ocomplex).
% 123.30/123.43 0 [] c_Limits_OZfun(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal)| -c_Limits_OZfun(V_g,V_net,T_a,tc_Complex_Ocomplex).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Ometric__space(T_c)| -class_RealVector_Ometric__space(T_b)|c_Lim_OisCont(c_COMBB(V_g,V_f,T_b,T_c,T_a),V_a,T_a,T_c)| -c_Lim_OisCont(V_g,hAPP(V_f,V_a),T_b,T_c)| -c_Lim_OisCont(V_f,V_a,T_a,T_b).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|V_a=V_b| -c_SEQ_OLIMSEQ(V_X,V_b,T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 123.30/123.43 0 [] c_SEQ_Oconvergent(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_X,T_a,T_a,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a),T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Deriv_Odifferentiable(c_COMBB(V_f,V_g,T_a,T_a,T_a),V_x,T_a)| -c_Deriv_Odifferentiable(V_g,V_x,T_a)| -c_Deriv_Odifferentiable(V_f,hAPP(V_g,V_x),T_a).
% 123.30/123.43 0 [] c_SEQ_Osubse_q(v_f____).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_X,T_a,T_a,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(T_a),V_r),V_a),T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 123.30/123.43 0 [] c_Lim_OisCont(c_Complex_OIm,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OCauchy(V_X,T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(c_COMBB(V_f,c_Suc,tc_nat,T_a,tc_nat),V_l,T_a)| -c_SEQ_OLIMSEQ(V_f,V_l,T_a).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(V_f,V_l,T_a)| -c_SEQ_OLIMSEQ(c_COMBB(V_f,c_Suc,tc_nat,T_a,tc_nat),V_l,T_a).
% 123.30/123.43 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 123.30/123.43 0 [] c_SEQ_Omonose_q(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)).
% 123.30/123.43 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a),T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 123.30/123.43 0 [] -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_a,hAPP(c_Complex_OIm,V_l),T_a,tc_RealDef_Oreal)| -c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_Complex_Ocomplex).
% 123.30/123.43 0 [] hAPP(c_Complex_OIm,c_Series_Osuminf(V_X,tc_Complex_Ocomplex))=c_Series_Osuminf(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_Series_Osummable(V_X,tc_Complex_Ocomplex).
% 123.30/123.43 0 [] c_Series_Osummable(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_Series_Osummable(V_X,tc_Complex_Ocomplex).
% 123.30/123.43 0 [] c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal).
% 123.30/123.43 0 [] -v_thesis____.
% 123.30/123.43 0 [] v_thesis____| -c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),V_x,tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 123.30/123.43 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 123.30/123.43 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 123.30/123.43 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 123.30/123.43 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 123.30/123.43 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_nat).
% 123.30/123.43 0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 123.30/123.43 0 [] class_Ring__and__Field_Ocomm__semiring(tc_nat).
% 123.30/123.43 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 123.30/123.43 0 [] class_Ring__and__Field_Osemiring__0(tc_nat).
% 123.30/123.43 0 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 123.30/123.43 0 [] class_Ring__and__Field_Osemiring(tc_nat).
% 123.30/123.43 0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 123.30/123.43 0 [] class_HOL_Ozero(tc_nat).
% 123.30/123.43 0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 123.30/123.43 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_RealVector_Otopological__space(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_RealVector_Oreal__algebra(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_RealVector_Ometric__space(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_RealVector_Oreal__vector(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_SEQ_Ocomplete__space(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_SEQ_Obanach(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_HOL_Ozero(tc_RealDef_Oreal).
% 123.30/123.43 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_RealVector_Otopological__space(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_RealVector_Oreal__algebra(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_RealVector_Ometric__space(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_RealVector_Oreal__vector(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_SEQ_Ocomplete__space(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_SEQ_Obanach(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] class_HOL_Ozero(tc_Complex_Ocomplex).
% 123.30/123.43 0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 123.30/123.43 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 123.30/123.43 0 [] c_fe_qual(V_x,V_x,T_a).
% 123.30/123.43 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 123.30/123.43 end_of_list.
% 123.30/123.43
% 123.30/123.43 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 123.30/123.43
% 123.30/123.43 This ia a non-Horn set with equality. The strategy will be
% 123.30/123.43 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 123.30/123.43 deletion, with positive clauses in sos and nonpositive
% 123.30/123.43 clauses in usable.
% 123.30/123.43
% 123.30/123.43 dependent: set(knuth_bendix).
% 123.30/123.43 dependent: set(anl_eq).
% 123.30/123.43 dependent: set(para_from).
% 123.30/123.43 dependent: set(para_into).
% 123.30/123.43 dependent: clear(para_from_right).
% 123.30/123.43 dependent: clear(para_into_right).
% 123.30/123.43 dependent: set(para_from_vars).
% 123.30/123.43 dependent: set(eq_units_both_ways).
% 123.30/123.43 dependent: set(dynamic_demod_all).
% 123.30/123.43 dependent: set(dynamic_demod).
% 123.30/123.43 dependent: set(order_eq).
% 123.30/123.43 dependent: set(back_demod).
% 123.30/123.43 dependent: set(lrpo).
% 123.30/123.43 dependent: set(hyper_res).
% 123.30/123.43 dependent: set(unit_deletion).
% 123.30/123.43 dependent: set(factor).
% 123.30/123.43
% 123.30/123.43 ------------> process usable:
% 123.30/123.43 ** KEPT (pick-wt=31): 1 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),C,A,tc_fun(A,A),B),D,B,A,A),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 123.30/123.43 Following clause subsumed by 1 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),C,A,tc_fun(A,A),B),D,B,A,A),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 123.30/123.43 ** KEPT (pick-wt=32): 2 [] -class_RealVector_Oreal__normed__algebra(A)|c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),C),D,C,A,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),D),F,C,A)| -c_Limits_Otendsto(B,E,F,C,A).
% 123.30/123.43 ** KEPT (pick-wt=25): 3 [] -class_RealVector_Oreal__normed__algebra(A)|c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),C),D,C,A,A),E,C,A)| -c_Limits_OZfun(B,E,C,A).
% 123.30/123.43 Following clause subsumed by 3 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),C),D,C,A,A),E,C,A)| -c_Limits_OZfun(B,E,C,A).
% 123.30/123.43 ** KEPT (pick-wt=34): 4 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),C,A,tc_fun(A,A),B),D,B,A,A),E,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),F),D),B,A)| -c_Lim_OLIM(C,E,F,B,A).
% 123.30/123.43 ** KEPT (pick-wt=31): 5 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Finite__Set_Osetsum(B,C,D,A)),E)=c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),D),E,D,A,A),C,D,A).
% 123.30/123.43 ** KEPT (pick-wt=31): 6 [] -class_Ring__and__Field_Osemiring__0(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Finite__Set_Osetsum(B,C,D,A)),E)=c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),D),E,D,A,A),C,D,A).
% 123.30/123.43 ** KEPT (pick-wt=31): 7 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),c_Finite__Set_Osetsum(B,C,D,tc_RealDef_Oreal)),E)=c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(A),B,tc_RealDef_Oreal,tc_fun(A,A),D),E,D,A,A),C,D,A).
% 123.30/123.43 ** KEPT (pick-wt=34): 8 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(A),C,tc_RealDef_Oreal,tc_fun(A,A),B),D,B,A,A),E,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),F),D),B,A)| -c_Lim_OLIM(C,E,F,B,tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=25): 9 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(A),B,tc_RealDef_Oreal,tc_fun(A,A),C),D,C,A,A),E,C,A)| -c_Limits_OZfun(B,E,C,tc_RealDef_Oreal).
% 123.30/123.43 Following clause subsumed by 9 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(A),B,tc_RealDef_Oreal,tc_fun(A,A),C),D,C,A,A),E,C,A)| -c_Limits_OZfun(B,E,C,tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=32): 10 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(A),B,tc_RealDef_Oreal,tc_fun(A,A),C),D,C,A,A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),E),D),F,C,A)| -c_Limits_Otendsto(B,E,F,C,tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=14): 11 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),B)!=hAPP(c_HOL_Ouminus__class_Ouminus(A),C)|B=C.
% 123.30/123.43 ** KEPT (pick-wt=16): 12 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(A),B,tc_RealDef_Oreal,A,tc_nat),A)| -c_SEQ_OCauchy(B,tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=9): 13 [] -class_RealVector_Oreal__normed__algebra(A)|c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(A),B),A,A).
% 123.30/123.43 ** KEPT (pick-wt=14): 14 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OZse_q(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,tc_nat),A)| -c_SEQ_OZse_q(B,A).
% 123.30/123.43 ** KEPT (pick-wt=35): 15 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),E)).
% 123.30/123.43 ** KEPT (pick-wt=35): 16 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))).
% 123.30/123.43 ** KEPT (pick-wt=35): 17 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),E)).
% 123.30/123.43 ** KEPT (pick-wt=14): 18 [] -class_SEQ_Obanach(A)|c_Series_Osummable(B,A)| -c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(A),B,A,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=13): 19 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),B)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=10): 20 [] -class_RealVector_Oreal__algebra__1(A)|hAPP(c_RealVector_Oof__real(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 Following clause subsumed by 20 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|hAPP(c_RealVector_Oof__real(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=16): 21 [] -class_RealVector_Oreal__normed__algebra(A)|c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A,A).
% 123.30/123.43 ** KEPT (pick-wt=26): 22 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__div__algebra(B)|c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(B),C,B,B,A),D,A,B)|hAPP(C,D)=c_HOL_Ozero__class_Ozero(B)| -c_Lim_OisCont(C,D,A,B).
% 123.30/123.43 ** KEPT (pick-wt=9): 23 [] -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(c_COMBK(B,A,A),C,A).
% 123.30/123.43 ** KEPT (pick-wt=14): 24 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OZse_q(B,A)| -c_SEQ_OZse_q(c_COMBB(c_RealVector_Onorm__class_Onorm(A),B,A,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=14): 25 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OZse_q(c_COMBB(c_RealVector_Onorm__class_Onorm(A),B,A,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_SEQ_OZse_q(B,A).
% 123.30/123.43 ** KEPT (pick-wt=16): 26 [] -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_SEQ_OCauchy(C,A).
% 123.30/123.43 ** KEPT (pick-wt=10): 27 [] -class_RealVector_Oreal__normed__algebra(A)|c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A).
% 123.30/123.43 ** KEPT (pick-wt=31): 28 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(A),C,tc_RealDef_Oreal,tc_fun(A,A),B),D,B,A,A),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 123.30/123.43 Following clause subsumed by 28 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(A),C,tc_RealDef_Oreal,tc_fun(A,A),B),D,B,A,A),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=14): 29 [] -class_Lattices_Oboolean__algebra(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),B)!=hAPP(c_HOL_Ouminus__class_Ouminus(A),C)|B=C.
% 123.30/123.43 ** KEPT (pick-wt=12): 30 [] -class_RealVector_Oreal__normed__vector(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_SEQ_OZse_q(c_COMBK(B,A,tc_nat),A).
% 123.30/123.43 ** KEPT (pick-wt=19): 31 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__algebra__1(B)|C=D| -c_Lim_OLIM(E,F,D,B,A)| -c_Lim_OLIM(E,F,C,B,A).
% 123.30/123.43 ** KEPT (pick-wt=18): 32 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(A),B,A,tc_RealDef_Oreal,C),D,C,tc_RealDef_Oreal)| -c_Limits_OZfun(B,D,C,A).
% 123.30/123.43 ** KEPT (pick-wt=18): 33 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_OZfun(B,C,D,A)| -c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(A),B,A,tc_RealDef_Oreal,D),C,D,tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=12): 34 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)|c_Lim_OisCont(c_COMBK(C,B,A),D,A,B).
% 123.30/123.43 ** KEPT (pick-wt=18): 35 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,C),D,C,A)| -c_Limits_OZfun(B,D,C,A).
% 123.30/123.43 ** KEPT (pick-wt=21): 37 [copy,36,flip.2] -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C)=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 123.30/123.43 ** KEPT (pick-wt=21): 38 [] -class_Ring__and__Field_Oring(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)).
% 123.30/123.43 ** KEPT (pick-wt=12): 39 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|c_Lim_OisUCont(C,A,B)| -c_RealVector_Obounded__linear(C,A,B).
% 123.30/123.43 ** KEPT (pick-wt=16): 40 [] -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OZse_q(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_SEQ_OZse_q(C,A).
% 123.30/123.43 Following clause subsumed by 40 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OZse_q(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_SEQ_OZse_q(C,A).
% 123.30/123.43 ** KEPT (pick-wt=20): 41 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C).
% 123.30/123.43 ** KEPT (pick-wt=15): 42 [] c_Limits_OZfun(c_COMBB(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,B),C,B,tc_RealDef_Oreal)| -c_Limits_OZfun(A,C,B,tc_Complex_Ocomplex).
% 123.30/123.43 ** KEPT (pick-wt=11): 43 [] c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_SEQ_OCauchy(A,tc_Complex_Ocomplex).
% 123.30/123.43 ** KEPT (pick-wt=18): 44 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C))=C.
% 123.30/123.43 ** KEPT (pick-wt=10): 45 [] c_Complex_Ocomplex_OComplex(A,B)!=c_Complex_Ocomplex_OComplex(C,D)|B=D.
% 123.30/123.43 ** KEPT (pick-wt=10): 46 [] c_Complex_Ocomplex_OComplex(A,B)!=c_Complex_Ocomplex_OComplex(C,D)|A=C.
% 123.30/123.43 ** KEPT (pick-wt=26): 47 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(A),C,tc_RealDef_Oreal,A,B),D,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=34): 48 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),E))|D=E|C=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=25): 49 [] -class_Ring__and__Field_Oordered__ring__strict(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),C))!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=25): 50 [] -class_Ring__and__Field_Oordered__ring__strict(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),C))!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=5): 52 [copy,51,flip.1] hAPP(c_Suc,A)!=A.
% 123.30/123.43 Following clause subsumed by 52 during input processing: 0 [] hAPP(c_Suc,A)!=A.
% 123.30/123.43 ** KEPT (pick-wt=16): 53 [] -class_RealVector_Oreal__normed__vector(A)|c_Lim_OLIM(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C),A,A).
% 123.30/123.43 ** KEPT (pick-wt=10): 54 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),B)=B.
% 123.30/123.43 ** KEPT (pick-wt=26): 55 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),C),D,A,A,B),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 123.30/123.43 Following clause subsumed by 55 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),C),D,A,A,B),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 123.30/123.43 ** KEPT (pick-wt=9): 56 [] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(A),B),A,A).
% 123.30/123.43 ** KEPT (pick-wt=13): 57 [] -class_RealVector_Oreal__algebra__1(A)|hAPP(c_RealVector_Oof__real(A),B)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=16): 58 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),B)!=hAPP(c_HOL_Oinverse__class_Oinverse(A),C)|B=C.
% 123.30/123.43 ** KEPT (pick-wt=22): 59 [] -class_Ring__and__Field_Odivision__ring(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),B)!=hAPP(c_HOL_Oinverse__class_Oinverse(A),C)|B=C|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=12): 60 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=10): 61 [] -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=23): 62 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,C),hAPP(c_HOL_Ouminus__class_Ouminus(A),D),E,C,A)| -c_Limits_Otendsto(B,D,E,C,A).
% 123.30/123.43 ** KEPT (pick-wt=23): 63 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(B,C,D,E,A)| -c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,E),hAPP(c_HOL_Ouminus__class_Ouminus(A),C),D,E,A).
% 123.30/123.43 ** KEPT (pick-wt=29): 64 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)| -class_RealVector_Ometric__space(C)|c_Lim_OLIM(c_COMBB(D,E,B,A,C),F,c_HOL_Ozero__class_Ozero(A),C,A)| -c_Lim_OLIM(E,F,c_HOL_Ozero__class_Ozero(B),C,B)| -c_RealVector_Obounded__linear(D,B,A).
% 123.30/123.43 ** KEPT (pick-wt=19): 66 [copy,65,flip.3] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B))=hAPP(c_HOL_Oinverse__class_Oinverse(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)).
% 123.30/123.43 ** KEPT (pick-wt=14): 67 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,tc_nat),A)| -c_Series_Osummable(B,A).
% 123.30/123.43 ** KEPT (pick-wt=25): 68 [] -class_OrderedGroup_Oab__semigroup__mult(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.43 ** KEPT (pick-wt=25): 69 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),C).
% 123.30/123.43 ** KEPT (pick-wt=25): 70 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.43 Following clause subsumed by 70 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.43 ** KEPT (pick-wt=25): 71 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)).
% 123.30/123.43 Following clause subsumed by 70 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.43 ** KEPT (pick-wt=30): 72 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.43 ** KEPT (pick-wt=30): 74 [copy,73,flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 123.30/123.43 Following clause subsumed by 74 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 123.30/123.43 ** KEPT (pick-wt=30): 75 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.43 Following clause subsumed by 75 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.43 ** KEPT (pick-wt=30): 77 [copy,76,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 123.30/123.43 ** KEPT (pick-wt=30): 78 [] -class_Ring__and__Field_Ocomm__semiring(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.43 ** KEPT (pick-wt=20): 79 [] -class_RealVector_Ometric__space(A)| -class_HOL_Ozero(A)| -class_RealVector_Oreal__normed__algebra__1(B)| -c_Lim_OLIM(c_COMBK(C,A,B),D,c_HOL_Ozero__class_Ozero(A),B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=25): 80 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),c_Series_Osuminf(C,A))=c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 123.30/123.43 ** KEPT (pick-wt=12): 81 [] -class_OrderedGroup_Oordered__ab__group__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),B)!=B|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=30): 82 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)),C).
% 123.30/123.43 ** KEPT (pick-wt=12): 83 [] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(A),B,A,A,A),A,A).
% 123.30/123.43 ** KEPT (pick-wt=21): 84 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C)=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 123.30/123.43 Following clause subsumed by 84 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C)=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 123.30/123.43 ** KEPT (pick-wt=21): 85 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 123.30/123.43 Following clause subsumed by 85 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 123.30/123.43 ** KEPT (pick-wt=21): 86 [] -class_Ring__and__Field_Oidom(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),B).
% 123.30/123.43 ** KEPT (pick-wt=21): 87 [] -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C).
% 123.30/123.43 ** KEPT (pick-wt=20): 88 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(A),B,tc_RealDef_Oreal,A,C),D,C,A)| -c_Limits_OZfun(B,D,C,tc_RealDef_Oreal).
% 123.30/123.43 ** KEPT (pick-wt=27): 89 [] -class_RealVector_Oreal__normed__algebra(A)|c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E),F,D,A)| -c_Limits_Otendsto(C,E,F,D,A).
% 123.30/123.43 ** KEPT (pick-wt=20): 90 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,D),E,D,A)| -c_Limits_OZfun(C,E,D,A).
% 123.30/123.43 Following clause subsumed by 90 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,D),E,D,A)| -c_Limits_OZfun(C,E,D,A).
% 123.30/123.43 ** KEPT (pick-wt=45): 92 [copy,91,flip.2] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),hAPP(c_HOL_Oinverse__class_Oinverse(A),B))),hAPP(c_HOL_Oinverse__class_Oinverse(A),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B)),hAPP(c_HOL_Oinverse__class_Oinverse(A),C))|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=45): 94 [copy,93,flip.2] -class_Ring__and__Field_Odivision__ring(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C))),hAPP(c_HOL_Oinverse__class_Oinverse(A),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B)),hAPP(c_HOL_Oinverse__class_Oinverse(A),C))|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.43 ** KEPT (pick-wt=11): 95 [] c_SEQ_OZse_q(c_COMBB(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_SEQ_OZse_q(A,tc_Complex_Ocomplex).
% 123.30/123.43 ** KEPT (pick-wt=25): 96 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Series_Osuminf(C,A))=c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 123.30/123.43 Following clause subsumed by 96 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Series_Osuminf(C,A))=c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 123.30/123.43 ** KEPT (pick-wt=17): 97 [] hAPP(c_Complex_ORe,c_Series_Osuminf(A,tc_Complex_Ocomplex))=c_Series_Osuminf(c_COMBB(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_Series_Osummable(A,tc_Complex_Ocomplex).
% 123.30/123.43 ** KEPT (pick-wt=35): 98 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),E)).
% 123.30/123.43 ** KEPT (pick-wt=29): 99 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),C),D,A,A,B),E,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),F),B,A)| -c_Lim_OLIM(D,E,F,B,A).
% 123.30/123.43 ** KEPT (pick-wt=21): 100 [] -class_RealVector_Ometric__space(A)|c_Lim_OLIM(c_COMBB(c_Complex_ORe,B,tc_Complex_Ocomplex,tc_RealDef_Oreal,A),C,hAPP(c_Complex_ORe,D),A,tc_RealDef_Oreal)| -c_Lim_OLIM(B,C,D,A,tc_Complex_Ocomplex).
% 123.30/123.43 ** KEPT (pick-wt=16): 101 [] -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,A),C,A)| -c_Deriv_Odifferentiable(B,C,A).
% 123.30/123.43 ** KEPT (pick-wt=16): 102 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)|A=C.
% 123.30/123.43 ** KEPT (pick-wt=16): 103 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 123.30/123.43 Following clause subsumed by 103 during input processing: 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 123.30/123.43 ** KEPT (pick-wt=20): 104 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)|C=D.
% 123.30/123.43 ** KEPT (pick-wt=18): 105 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)|C=D.
% 123.30/123.44 ** KEPT (pick-wt=18): 106 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)|C=D.
% 123.30/123.44 ** KEPT (pick-wt=18): 107 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C)|B=D.
% 123.30/123.44 ** KEPT (pick-wt=26): 109 [copy,108,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B)),hAPP(c_HOL_Oinverse__class_Oinverse(A),C))=hAPP(c_HOL_Oinverse__class_Oinverse(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 123.30/123.44 ** KEPT (pick-wt=32): 110 [] -class_Ring__and__Field_Odivision__ring(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),C)),hAPP(c_HOL_Oinverse__class_Oinverse(A),B))|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=16): 111 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__algebra__1(B)| -c_Lim_OLIM(c_COMBK(C,A,B),D,E,B,A)|C=E.
% 123.30/123.44 Following clause subsumed by 111 during input processing: 0 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__algebra__1(B)|C=D| -c_Lim_OLIM(c_COMBK(C,A,B),E,D,B,A).
% 123.30/123.44 ** KEPT (pick-wt=15): 112 [] -class_Ring__and__Field_Odivision__ring(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B))=B|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=26): 113 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Finite__Set_Osetsum(C,D,E,A))=c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,E),D,E,A).
% 123.30/123.44 ** KEPT (pick-wt=26): 114 [] -class_Ring__and__Field_Osemiring__0(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Finite__Set_Osetsum(C,D,E,A))=c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,E),D,E,A).
% 123.30/123.44 ** KEPT (pick-wt=29): 115 [] -class_RealVector_Oreal__normed__div__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(A),C,A,A,B),D,hAPP(c_HOL_Oinverse__class_Oinverse(A),E),B,A)|E=c_HOL_Ozero__class_Ozero(A)| -c_Lim_OLIM(C,D,E,B,A).
% 123.30/123.44 ** KEPT (pick-wt=20): 116 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__vector(B)|c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(B),C,B,B,A),D,A,B)| -c_Lim_OisCont(C,D,A,B).
% 123.30/123.44 ** KEPT (pick-wt=21): 118 [copy,117,flip.2] -class_RealVector_Oreal__normed__vector(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_Series_Osuminf(B,A))=c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,tc_nat),A)| -c_Series_Osummable(B,A).
% 123.30/123.44 ** KEPT (pick-wt=19): 119 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 123.30/123.44 ** KEPT (pick-wt=25): 120 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)),D)=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.44 Following clause subsumed by 120 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)),D)=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.44 ** KEPT (pick-wt=25): 121 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),D))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)).
% 123.30/123.44 ** KEPT (pick-wt=19): 122 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=19): 123 [] -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 Following clause subsumed by 123 during input processing: 0 [] -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=9): 124 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osummable(c_COMBK(c_HOL_Ozero__class_Ozero(A),A,tc_nat),A).
% 123.30/123.44 ** KEPT (pick-wt=15): 125 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=25): 126 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(A),B,tc_RealDef_Oreal,A,C),hAPP(c_RealVector_Oof__real(A),D),E,C,A)| -c_Limits_Otendsto(B,D,E,C,tc_RealDef_Oreal).
% 123.30/123.44 ** KEPT (pick-wt=11): 127 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osums(c_COMBK(c_HOL_Ozero__class_Ozero(A),A,tc_nat),c_HOL_Ozero__class_Ozero(A),A).
% 123.30/123.44 ** KEPT (pick-wt=26): 128 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(C,hAPP(c_HOL_Oplus__class_Oplus(A),D),A,B,A),c_HOL_Ozero__class_Ozero(A),hAPP(C,D),A,B)| -c_Lim_OisCont(C,D,A,B).
% 123.30/123.44 ** KEPT (pick-wt=26): 129 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OisCont(C,D,A,B)| -c_Lim_OLIM(c_COMBB(C,hAPP(c_HOL_Oplus__class_Oplus(A),D),A,B,A),c_HOL_Ozero__class_Ozero(A),hAPP(C,D),A,B).
% 123.30/123.44 ** KEPT (pick-wt=24): 130 [] -class_Ring__and__Field_Oidom(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),C)|B=hAPP(c_HOL_Ouminus__class_Ouminus(A),C)|B=C.
% 123.30/123.44 ** KEPT (pick-wt=16): 132 [copy,131,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=B|C=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=19): 133 [] -class_RealVector_Oreal__normed__algebra(A)|c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(A),B,A,A,A),C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B),A,A).
% 123.30/123.44 ** KEPT (pick-wt=13): 134 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)|c_Lim_OisCont(C,D,A,B)| -c_Lim_OisUCont(C,A,B).
% 123.30/123.44 ** KEPT (pick-wt=26): 135 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),D,A,A,B),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 123.30/123.44 Following clause subsumed by 135 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),D,A,A,B),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 123.30/123.44 ** KEPT (pick-wt=23): 136 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),D),A)| -c_Series_Osums(C,D,A).
% 123.30/123.44 ** KEPT (pick-wt=16): 137 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 123.30/123.44 ** KEPT (pick-wt=21): 138 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)).
% 123.30/123.44 ** KEPT (pick-wt=21): 139 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)).
% 123.30/123.44 ** KEPT (pick-wt=13): 140 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),B)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=14): 141 [] -class_RealVector_Oreal__algebra__1(A)|hAPP(c_RealVector_Oof__real(A),B)!=hAPP(c_RealVector_Oof__real(A),C)|B=C.
% 123.30/123.44 ** KEPT (pick-wt=25): 142 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),C,A,A,B),D,hAPP(c_HOL_Ouminus__class_Ouminus(A),E),B,A)| -c_Lim_OLIM(C,D,E,B,A).
% 123.30/123.44 ** KEPT (pick-wt=12): 143 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osuminf(c_COMBK(c_HOL_Ozero__class_Ozero(A),A,tc_nat),A)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=19): 144 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|c_SEQ_OZse_q(c_COMBB(C,D,A,B,tc_nat),B)| -c_SEQ_OZse_q(D,A)| -c_RealVector_Obounded__linear(C,A,B).
% 123.30/123.44 ** KEPT (pick-wt=30): 145 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)| -class_RealVector_Ometric__space(C)|c_Lim_OLIM(c_COMBB(D,E,A,B,C),F,hAPP(D,G),C,B)| -c_Lim_OLIM(E,F,G,C,A)| -c_Lim_OisCont(D,G,A,B).
% 123.30/123.44 ** KEPT (pick-wt=27): 146 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(A),C,tc_RealDef_Oreal,A,B),D,hAPP(c_RealVector_Oof__real(A),E),B,A)| -c_Lim_OLIM(C,D,E,B,tc_RealDef_Oreal).
% 123.30/123.44 ** KEPT (pick-wt=37): 147 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 123.30/123.44 Following clause subsumed by 147 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 123.30/123.44 ** KEPT (pick-wt=29): 148 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)| -class_RealVector_Ometric__space(C)|c_Lim_OLIM(c_COMBB(D,E,A,B,C),F,hAPP(D,G),C,B)| -c_Lim_OLIM(E,F,G,C,A)| -c_RealVector_Obounded__linear(D,A,B).
% 123.30/123.44 ** KEPT (pick-wt=20): 149 [] -class_RealVector_Oreal__normed__algebra(A)|c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,D),E,D,A)| -c_Limits_OZfun(C,E,D,A).
% 123.30/123.44 Following clause subsumed by 149 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,D),E,D,A)| -c_Limits_OZfun(C,E,D,A).
% 123.30/123.44 ** KEPT (pick-wt=13): 150 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B))=B.
% 123.30/123.44 ** KEPT (pick-wt=22): 151 [] -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(A),B,A,A,A),C,A)|hAPP(B,C)=c_HOL_Ozero__class_Ozero(A)| -c_Deriv_Odifferentiable(B,C,A).
% 123.30/123.44 ** KEPT (pick-wt=27): 152 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|c_Limits_Otendsto(c_COMBB(C,D,B,A,E),hAPP(C,F),G,E,A)| -c_Limits_Otendsto(D,F,G,E,B)| -c_RealVector_Obounded__linear(C,B,A).
% 123.30/123.44 ** KEPT (pick-wt=15): 153 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 123.30/123.44 ** KEPT (pick-wt=13): 154 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 Following clause subsumed by 153 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 123.30/123.44 ** KEPT (pick-wt=13): 155 [] -class_RealVector_Oreal__normed__algebra(A)|c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(A),B,A,A,A),C,A,A).
% 123.30/123.44 ** KEPT (pick-wt=24): 156 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(A),C,A,tc_RealDef_Oreal,B),D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_Lim_OLIM(C,D,c_HOL_Ozero__class_Ozero(A),B,A).
% 123.30/123.44 ** KEPT (pick-wt=24): 157 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(C,D,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(A),C,A,tc_RealDef_Oreal,B),D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 123.30/123.44 ** KEPT (pick-wt=25): 158 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)).
% 123.30/123.44 ** KEPT (pick-wt=25): 159 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 123.30/123.44 ** KEPT (pick-wt=25): 161 [copy,160,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 123.30/123.44 ** KEPT (pick-wt=25): 162 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)).
% 123.30/123.44 ** KEPT (pick-wt=25): 163 [] -class_OrderedGroup_Oab__semigroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 123.30/123.44 Following clause subsumed by 161 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 123.30/123.44 ** KEPT (pick-wt=25): 164 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)),C).
% 123.30/123.44 ** KEPT (pick-wt=25): 165 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)).
% 123.30/123.44 Following clause subsumed by 161 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 123.30/123.44 ** KEPT (pick-wt=18): 166 [] -class_RealVector_Oreal__algebra__1(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_RealVector_Oof__real(A),B)),C).
% 123.30/123.44 ** KEPT (pick-wt=13): 167 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ozero__class_Ozero(A)!=hAPP(c_HOL_Ouminus__class_Ouminus(A),B)|c_HOL_Ozero__class_Ozero(A)=B.
% 123.30/123.44 ** KEPT (pick-wt=19): 168 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|c_Series_Osummable(c_COMBB(C,D,A,B,tc_nat),B)| -c_Series_Osummable(D,A)| -c_RealVector_Obounded__linear(C,A,B).
% 123.30/123.44 ** KEPT (pick-wt=27): 169 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(A),B,A,A,C),hAPP(c_HOL_Oinverse__class_Oinverse(A),D),E,C,A)|D=c_HOL_Ozero__class_Ozero(A)| -c_Limits_Otendsto(B,D,E,C,A).
% 123.30/123.44 ** KEPT (pick-wt=12): 170 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 171 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 172 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 173 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=40): 175 [copy,174,flip.2] -class_Ring__and__Field_Osemiring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)),E)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)),E)).
% 123.30/123.44 ** KEPT (pick-wt=11): 176 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(B,c_SEQ_Olim(B,A),A)| -c_SEQ_Oconvergent(B,A).
% 123.30/123.44 ** KEPT (pick-wt=11): 177 [] -class_RealVector_Ometric__space(A)|c_SEQ_Oconvergent(B,A)| -c_SEQ_OLIMSEQ(B,c_SEQ_Olim(B,A),A).
% 123.30/123.44 ** KEPT (pick-wt=14): 178 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=14): 179 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=14): 180 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 Following clause subsumed by 178 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=13): 181 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|c_Lim_OisCont(C,D,A,B)| -c_RealVector_Obounded__linear(C,A,B).
% 123.30/123.44 ** KEPT (pick-wt=23): 182 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|hAPP(c_RealVector_Oof__real(A),c_Series_Osuminf(B,tc_RealDef_Oreal))=c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(A),B,tc_RealDef_Oreal,A,tc_nat),A)| -c_Series_Osummable(B,tc_RealDef_Oreal).
% 123.30/123.44 ** KEPT (pick-wt=21): 184 [copy,183,flip.2] -class_RealVector_Oreal__normed__vector(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_SEQ_Olim(B,A))=c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,tc_nat),A)| -c_SEQ_Oconvergent(B,A).
% 123.30/123.44 ** KEPT (pick-wt=26): 185 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),c_Finite__Set_Osetsum(C,D,E,A))=c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,E),D,E,A).
% 123.30/123.44 ** KEPT (pick-wt=11): 186 [] c_Series_Osummable(c_COMBB(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_Series_Osummable(A,tc_Complex_Ocomplex).
% 123.30/123.44 ** KEPT (pick-wt=25): 187 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(A),C,A,tc_RealDef_Oreal,B),D,hAPP(c_RealVector_Onorm__class_Onorm(A),E),B,tc_RealDef_Oreal)| -c_Lim_OLIM(C,D,E,B,A).
% 123.30/123.44 ** KEPT (pick-wt=14): 188 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,tc_nat),A)| -c_SEQ_Oconvergent(B,A).
% 123.30/123.44 ** KEPT (pick-wt=14): 189 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_Oconvergent(B,A)| -c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,tc_nat),A).
% 123.30/123.44 ** KEPT (pick-wt=16): 190 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(A),B,hAPP(c_HOL_Oinverse__class_Oinverse(A),B),A,A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=30): 192 [copy,191,flip.2] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),D))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 123.30/123.44 ** KEPT (pick-wt=30): 194 [copy,193,flip.2] -class_RealVector_Oreal__normed__vector(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),D))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 123.30/123.44 ** KEPT (pick-wt=21): 195 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))!=C|B=hAPP(c_HOL_Ouminus__class_Ouminus(A),D).
% 123.30/123.44 ** KEPT (pick-wt=23): 196 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|c_Limits_OZfun(c_COMBB(C,D,B,A,E),F,E,A)| -c_Limits_OZfun(D,F,E,B)| -c_RealVector_Obounded__linear(C,B,A).
% 123.30/123.44 ** KEPT (pick-wt=12): 197 [] -class_RealVector_Oreal__normed__algebra(A)|c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(A),B,A,A,A),A,A).
% 123.30/123.44 ** KEPT (pick-wt=9): 198 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OZse_q(c_COMBK(c_HOL_Ozero__class_Ozero(A),A,tc_nat),A).
% 123.30/123.44 ** KEPT (pick-wt=22): 200 [copy,199,flip.2] -class_OrderedGroup_Oab__group__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_Finite__Set_Osetsum(B,C,D,A))=c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,D),C,D,A).
% 123.30/123.44 ** KEPT (pick-wt=11): 201 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 123.30/123.44 ** KEPT (pick-wt=11): 202 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 123.30/123.44 ** KEPT (pick-wt=11): 203 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 123.30/123.44 ** KEPT (pick-wt=13): 205 [copy,204,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 123.30/123.44 ** KEPT (pick-wt=11): 206 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 123.30/123.44 ** KEPT (pick-wt=11): 207 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 123.30/123.44 ** KEPT (pick-wt=11): 208 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 123.30/123.44 Following clause subsumed by 206 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 123.30/123.44 ** KEPT (pick-wt=11): 209 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 123.30/123.44 Following clause subsumed by 209 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 123.30/123.44 Following clause subsumed by 209 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 123.30/123.44 ** KEPT (pick-wt=11): 210 [] -class_Lattices_Oboolean__algebra(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 123.30/123.44 Following clause subsumed by 209 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 123.30/123.44 ** KEPT (pick-wt=16): 211 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(A),B,tc_RealDef_Oreal,A,tc_nat),A)| -c_Series_Osummable(B,tc_RealDef_Oreal).
% 123.30/123.44 Following clause subsumed by 121 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),D))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)).
% 123.30/123.44 ** KEPT (pick-wt=25): 212 [] -class_RealVector_Oreal__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)),D)=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 123.30/123.44 ** KEPT (pick-wt=25): 213 [] -class_RealVector_Oreal__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),D))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)).
% 123.30/123.44 ** KEPT (pick-wt=28): 214 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),E)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)=E.
% 123.30/123.44 ** KEPT (pick-wt=20): 215 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__algebra__1(B)|c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(B),C,tc_RealDef_Oreal,B,A),D,A,B)| -c_Lim_OisCont(C,D,A,tc_RealDef_Oreal).
% 123.30/123.44 ** KEPT (pick-wt=25): 216 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|hAPP(C,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),D),E))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(B),D),hAPP(C,E))| -c_RealVector_Obounded__linear(C,A,B).
% 123.30/123.44 ** KEPT (pick-wt=19): 217 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)|c_SEQ_OCauchy(c_COMBB(C,D,A,B,tc_nat),B)| -c_SEQ_OCauchy(D,A)| -c_Lim_OisUCont(C,A,B).
% 123.30/123.44 ** KEPT (pick-wt=25): 218 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__vector(B)|c_Lim_OLIM(C,D,E,B,A)| -c_Lim_OLIM(c_COMBB(C,hAPP(c_HOL_Oplus__class_Oplus(B),D),B,A,B),c_HOL_Ozero__class_Ozero(B),E,B,A).
% 123.30/123.44 ** KEPT (pick-wt=25): 219 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__vector(B)|c_Lim_OLIM(c_COMBB(C,hAPP(c_HOL_Oplus__class_Oplus(B),D),B,A,B),c_HOL_Ozero__class_Ozero(B),E,B,A)| -c_Lim_OLIM(C,D,E,B,A).
% 123.30/123.44 Following clause subsumed by 218 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(C,D,hAPP(C,D),A,B)| -c_Lim_OLIM(c_COMBB(C,hAPP(c_HOL_Oplus__class_Oplus(A),D),A,B,A),c_HOL_Ozero__class_Ozero(A),hAPP(C,D),A,B).
% 123.30/123.44 Following clause subsumed by 219 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(C,hAPP(c_HOL_Oplus__class_Oplus(A),D),A,B,A),c_HOL_Ozero__class_Ozero(A),hAPP(C,D),A,B)| -c_Lim_OLIM(C,D,hAPP(C,D),A,B).
% 123.30/123.44 ** KEPT (pick-wt=16): 220 [] -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 123.30/123.44 Following clause subsumed by 220 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 123.30/123.44 ** KEPT (pick-wt=23): 221 [] -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_Series_Osums(C,D,A).
% 123.30/123.44 Following clause subsumed by 221 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_Series_Osums(C,D,A).
% 123.30/123.44 ** KEPT (pick-wt=11): 222 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_OZfun(c_COMBK(c_HOL_Ozero__class_Ozero(A),A,B),C,B,A).
% 123.30/123.44 ** KEPT (pick-wt=9): 223 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osummable(B,A)| -c_Series_Osums(B,C,A).
% 123.30/123.44 Following clause subsumed by 223 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osummable(B,A)| -c_Series_Osums(B,C,A).
% 123.30/123.44 ** KEPT (pick-wt=10): 224 [] -class_RealVector_Oreal__normed__vector(A)|c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A).
% 123.30/123.44 ** KEPT (pick-wt=23): 225 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(A),B,A,tc_RealDef_Oreal,C),hAPP(c_RealVector_Onorm__class_Onorm(A),D),E,C,tc_RealDef_Oreal)| -c_Limits_Otendsto(B,D,E,C,A).
% 123.30/123.44 ** KEPT (pick-wt=14): 226 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(A),A,B),C,B,A)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=14): 227 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=hAPP(c_RealVector_Onorm__class_Onorm(A),B).
% 123.30/123.44 ** KEPT (pick-wt=25): 228 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),D))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),D)).
% 123.30/123.44 ** KEPT (pick-wt=25): 229 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),D))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),D)).
% 123.30/123.44 Following clause subsumed by 228 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),D))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),D)).
% 123.30/123.44 ** KEPT (pick-wt=16): 230 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_SEQ_OZse_q(c_COMBB(c_RealVector_Oof__real(A),B,tc_RealDef_Oreal,A,tc_nat),A)| -c_SEQ_OZse_q(B,tc_RealDef_Oreal).
% 123.30/123.44 ** KEPT (pick-wt=11): 231 [] -class_RealVector_Otopological__space(A)|c_Limits_Otendsto(c_COMBK(B,A,C),B,D,C,A).
% 123.30/123.44 ** KEPT (pick-wt=15): 232 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 123.30/123.44 Following clause subsumed by 232 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 123.30/123.44 ** KEPT (pick-wt=15): 233 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 123.30/123.44 ** KEPT (pick-wt=10): 234 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 123.30/123.44 ** KEPT (pick-wt=13): 235 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBK(C,A,B),D,C,B,A).
% 123.30/123.44 ** KEPT (pick-wt=10): 236 [] hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 123.30/123.44 Following clause subsumed by 236 during input processing: 0 [] hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 123.30/123.44 ** KEPT (pick-wt=17): 237 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),B)=C.
% 123.30/123.44 ** KEPT (pick-wt=17): 238 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=hAPP(c_HOL_Ouminus__class_Ouminus(A),C).
% 123.30/123.44 ** KEPT (pick-wt=24): 239 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|hAPP(c_RealVector_Oof__real(A),c_Finite__Set_Osetsum(B,C,D,tc_RealDef_Oreal))=c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(A),B,tc_RealDef_Oreal,A,D),C,D,A).
% 123.30/123.44 ** KEPT (pick-wt=43): 240 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 123.30/123.44 Following clause subsumed by 240 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 123.30/123.44 ** KEPT (pick-wt=21): 242 [copy,241,flip.2] -class_Ring__and__Field_Odivision__ring(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B))=hAPP(c_HOL_Oinverse__class_Oinverse(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 243 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 244 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 245 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 Following clause subsumed by 245 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 246 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 Following clause subsumed by 246 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 Following clause subsumed by 243 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 247 [] -class_Ring__and__Field_Omult__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 248 [] -class_Ring__and__Field_Omult__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 249 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=12): 250 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=19): 251 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osummable(c_COMBB(B,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),C,tc_nat,tc_nat,tc_nat),tc_nat,A,tc_nat),A)| -c_Series_Osummable(B,A).
% 123.30/123.44 ** KEPT (pick-wt=29): 252 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),D,A,A,B),E,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),F),B,A)| -c_Lim_OLIM(D,E,F,B,A).
% 123.30/123.44 ** KEPT (pick-wt=18): 253 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B))=C.
% 123.30/123.44 ** KEPT (pick-wt=18): 254 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C))=C.
% 123.30/123.44 ** KEPT (pick-wt=19): 255 [] c_Limits_Otendsto(c_COMBB(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,B),hAPP(c_Complex_ORe,C),D,B,tc_RealDef_Oreal)| -c_Limits_Otendsto(A,C,D,B,tc_Complex_Ocomplex).
% 123.30/123.44 ** KEPT (pick-wt=23): 256 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|c_Series_Osums(c_COMBB(C,D,A,B,tc_nat),hAPP(C,E),B)| -c_Series_Osums(D,E,A)| -c_RealVector_Obounded__linear(C,A,B).
% 123.30/123.44 ** KEPT (pick-wt=10): 257 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(B,c_HOL_Ozero__class_Ozero(A),A)| -c_Series_Osummable(B,A).
% 123.30/123.44 ** KEPT (pick-wt=11): 258 [] -class_RealVector_Oreal__normed__vector(A)|B=c_Series_Osuminf(C,A)| -c_Series_Osums(C,B,A).
% 123.30/123.44 ** KEPT (pick-wt=11): 259 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osuminf(B,A)=C| -c_Series_Osums(B,C,A).
% 123.30/123.44 ** KEPT (pick-wt=15): 260 [] c_Series_Osums(c_COMBB(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,B),tc_RealDef_Oreal)| -c_Series_Osums(A,B,tc_Complex_Ocomplex).
% 123.30/123.44 ** KEPT (pick-wt=10): 262 [copy,261,flip.2] -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=15): 263 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),B)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=13): 264 [] -class_Ring__and__Field_Odivision__ring(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),B)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=8): 265 [] -class_SEQ_Ocomplete__space(A)|c_SEQ_OCauchy(B,A)| -c_SEQ_Oconvergent(B,A).
% 123.30/123.44 ** KEPT (pick-wt=8): 266 [] -class_SEQ_Ocomplete__space(A)|c_SEQ_Oconvergent(B,A)| -c_SEQ_OCauchy(B,A).
% 123.30/123.44 ** KEPT (pick-wt=9): 267 [] -class_RealVector_Oreal__normed__vector(A)|c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),A,A).
% 123.30/123.44 ** KEPT (pick-wt=8): 268 [] -class_RealVector_Ometric__space(A)|c_SEQ_OCauchy(B,A)| -c_SEQ_Oconvergent(B,A).
% 123.30/123.44 ** KEPT (pick-wt=6): 269 [] c_SEQ_Oconvergent(A,tc_RealDef_Oreal)| -c_SEQ_OCauchy(A,tc_RealDef_Oreal).
% 123.30/123.44 ** KEPT (pick-wt=21): 270 [] -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)).
% 123.30/123.44 ** KEPT (pick-wt=19): 271 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_Series_Osums(B,C,A).
% 123.30/123.44 Following clause subsumed by 262 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=10): 272 [] -class_OrderedGroup_Oordered__ab__group__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.44 ** KEPT (pick-wt=16): 273 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|c_Lim_OLIM(C,D,hAPP(C,D),A,B)| -c_RealVector_Obounded__linear(C,A,B).
% 123.30/123.44 ** KEPT (pick-wt=16): 274 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OZse_q(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,tc_nat),A)| -c_SEQ_OZse_q(C,A).
% 123.30/123.44 Following clause subsumed by 274 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OZse_q(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,tc_nat),A)| -c_SEQ_OZse_q(C,A).
% 123.30/123.44 ** KEPT (pick-wt=11): 275 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osums(B,c_Series_Osuminf(B,A),A)| -c_Series_Osummable(B,A).
% 123.30/123.44 Following clause subsumed by 275 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)| -c_Series_Osummable(B,A)|c_Series_Osums(B,c_Series_Osuminf(B,A),A).
% 123.30/123.44 ** KEPT (pick-wt=19): 276 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|c_SEQ_OCauchy(c_COMBB(C,D,A,B,tc_nat),B)| -c_SEQ_OCauchy(D,A)| -c_RealVector_Obounded__linear(C,A,B).
% 123.30/123.44 ** KEPT (pick-wt=17): 277 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)|c_Lim_OisCont(C,D,A,B)| -c_Lim_OLIM(C,D,hAPP(C,D),A,B).
% 123.30/123.44 ** KEPT (pick-wt=17): 278 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(C,D,hAPP(C,D),A,B)| -c_Lim_OisCont(C,D,A,B).
% 123.30/123.44 ** KEPT (pick-wt=17): 279 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),B)=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),C).
% 123.30/123.44 ** KEPT (pick-wt=17): 280 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),c_HOL_Ozero__class_Ozero(A))=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),C),c_HOL_Ozero__class_Ozero(A)).
% 123.30/123.44 ** KEPT (pick-wt=27): 281 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,D),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),E),F,D,A)| -c_Limits_Otendsto(C,E,F,D,A).
% 123.30/123.44 ** KEPT (pick-wt=16): 282 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,tc_nat),A)| -c_SEQ_OCauchy(C,A).
% 123.30/123.45 ** KEPT (pick-wt=22): 283 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)!=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),D)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|C=D.
% 123.30/123.45 ** KEPT (pick-wt=22): 284 [] -class_RealVector_Oreal__vector(A)|hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C)!=hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),D),C)|C=c_HOL_Ozero__class_Ozero(A)|B=D.
% 123.30/123.45 ** KEPT (pick-wt=25): 285 [] -class_Ring__and__Field_Oordered__ring__strict(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A)))=c_HOL_Ozero__class_Ozero(A).
% 123.30/123.45 ** KEPT (pick-wt=21): 286 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_Series_Osums(c_COMBB(c_RealVector_Oof__real(A),B,tc_RealDef_Oreal,A,tc_nat),hAPP(c_RealVector_Oof__real(A),C),A)| -c_Series_Osums(B,C,tc_RealDef_Oreal).
% 123.30/123.45 ** KEPT (pick-wt=25): 287 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|hAPP(C,c_Series_Osuminf(D,A))=c_Series_Osuminf(c_COMBB(C,D,A,B,tc_nat),B)| -c_Series_Osummable(D,A)| -c_RealVector_Obounded__linear(C,A,B).
% 123.30/123.45 ** KEPT (pick-wt=20): 288 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__vector(B)|c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(B),C,B,tc_RealDef_Oreal,A),D,A,tc_RealDef_Oreal)| -c_Lim_OisCont(C,D,A,B).
% 123.30/123.45 ** KEPT (pick-wt=9): 289 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),A,A).
% 123.30/123.45 ** KEPT (pick-wt=24): 290 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)).
% 123.30/123.45 ** KEPT (pick-wt=24): 292 [copy,291,flip.2] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)).
% 123.30/123.45 ** KEPT (pick-wt=15): 293 [] c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,B),tc_RealDef_Oreal)| -c_SEQ_OLIMSEQ(A,B,tc_Complex_Ocomplex).
% 123.30/123.45 ** KEPT (pick-wt=19): 294 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_SEQ_OLIMSEQ(B,C,A).
% 123.30/123.45 ** KEPT (pick-wt=19): 295 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(B,C,A)| -c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A).
% 123.30/123.45 ** KEPT (pick-wt=20): 296 [] v_thesis____| -c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),A,tc_RealDef_Oreal).
% 123.30/123.45 ** KEPT (pick-wt=9): 297 [] -class_RealVector_Ometric__space(A)|c_SEQ_Oconvergent(B,A)| -c_SEQ_OLIMSEQ(B,C,A).
% 123.30/123.45 Following clause subsumed by 297 during input processing: 0 [] -class_RealVector_Ometric__space(A)|c_SEQ_Oconvergent(B,A)| -c_SEQ_OLIMSEQ(B,C,A).
% 123.30/123.45 ** KEPT (pick-wt=17): 298 [] hAPP(c_Complex_OIm,A)!=hAPP(c_Complex_OIm,B)|hAPP(c_Complex_ORe,A)!=hAPP(c_Complex_ORe,B)|A=B.
% 123.30/123.45 ** KEPT (pick-wt=12): 299 [] -class_RealVector_Ometric__space(A)|B=C| -c_SEQ_OLIMSEQ(c_COMBK(B,A,tc_nat),C,A).
% 123.30/123.45 ** KEPT (pick-wt=33): 300 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)| -class_RealVector_Ometric__space(C)|c_Lim_OLIM(c_COMBB(D,E,A,B,C),F,hAPP(D,G),C,B)| -c_Lim_OLIM(E,F,G,C,A)| -c_Lim_OLIM(D,G,hAPP(D,G),A,B).
% 123.30/123.45 ** KEPT (pick-wt=18): 301 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(B,c_HOL_Ozero__class_Ozero(A),A)| -c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(A),B,A,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 123.30/123.45 ** KEPT (pick-wt=18): 302 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(A),B,A,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_SEQ_OLIMSEQ(B,c_HOL_Ozero__class_Ozero(A),A).
% 123.30/123.45 ** KEPT (pick-wt=19): 303 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(A),B,A,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(A),C),tc_RealDef_Oreal)| -c_SEQ_OLIMSEQ(B,C,A).
% 123.30/123.45 ** KEPT (pick-wt=21): 304 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(c_COMBB(B,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),C,tc_nat,tc_nat,tc_nat),tc_nat,A,tc_nat),D,A)| -c_SEQ_OLIMSEQ(B,D,A).
% 123.30/123.45 ** KEPT (pick-wt=21): 305 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(B,C,A)| -c_SEQ_OLIMSEQ(c_COMBB(B,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),D,tc_nat,tc_nat,tc_nat),tc_nat,A,tc_nat),C,A).
% 123.30/123.45 ** KEPT (pick-wt=11): 306 [] -class_RealVector_Ometric__space(A)|c_SEQ_Olim(B,A)=C| -c_SEQ_OLIMSEQ(B,C,A).
% 123.30/123.45 ** KEPT (pick-wt=19): 307 [] c_Limits_Otendsto(c_COMBB(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,B),hAPP(c_Complex_OIm,C),D,B,tc_RealDef_Oreal)| -c_Limits_Otendsto(A,C,D,B,tc_Complex_Ocomplex).
% 123.30/123.45 ** KEPT (pick-wt=11): 308 [] c_SEQ_OZse_q(c_COMBB(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_SEQ_OZse_q(A,tc_Complex_Ocomplex).
% 123.30/123.45 ** KEPT (pick-wt=9): 309 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(c_COMBK(B,A,tc_nat),B,A).
% 123.30/123.45 Following clause subsumed by 309 during input processing: 0 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(c_COMBK(B,A,tc_nat),B,A).
% 123.30/123.45 ** KEPT (pick-wt=23): 310 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__normed__vector(B)|c_SEQ_OLIMSEQ(c_COMBB(C,D,A,B,tc_nat),hAPP(C,E),B)| -c_SEQ_OLIMSEQ(D,E,A)| -c_RealVector_Obounded__linear(C,A,B).
% 123.30/123.45 ** KEPT (pick-wt=31): 311 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)|c_SEQ_OLIMSEQ(c_COMBB(C,D,B,A,tc_nat),E,A)| -c_SEQ_OLIMSEQ(D,F,B)|hAPP(D,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(D,F,B))=F| -c_Lim_OLIM(C,F,E,B,A).
% 123.30/123.45 ** KEPT (pick-wt=21): 312 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(A),B,tc_RealDef_Oreal,A,tc_nat),hAPP(c_RealVector_Oof__real(A),C),A)| -c_SEQ_OLIMSEQ(B,C,tc_RealDef_Oreal).
% 123.30/123.45 ** KEPT (pick-wt=15): 313 [] c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,B),tc_RealDef_Oreal)| -c_SEQ_OLIMSEQ(A,B,tc_Complex_Ocomplex).
% 123.30/123.45 ** KEPT (pick-wt=11): 314 [] c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_SEQ_OCauchy(A,tc_Complex_Ocomplex).
% 123.30/123.45 ** KEPT (pick-wt=15): 315 [] c_Series_Osums(c_COMBB(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,B),tc_RealDef_Oreal)| -c_Series_Osums(A,B,tc_Complex_Ocomplex).
% 123.30/123.45 ** KEPT (pick-wt=15): 316 [] c_Limits_OZfun(c_COMBB(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,B),C,B,tc_RealDef_Oreal)| -c_Limits_OZfun(A,C,B,tc_Complex_Ocomplex).
% 123.30/123.45 ** KEPT (pick-wt=28): 317 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)| -class_RealVector_Ometric__space(C)|c_Lim_OisCont(c_COMBB(D,E,C,B,A),F,A,B)| -c_Lim_OisCont(D,hAPP(E,F),C,B)| -c_Lim_OisCont(E,F,A,C).
% 123.30/123.45 ** KEPT (pick-wt=13): 318 [] -class_RealVector_Ometric__space(A)|B=C| -c_SEQ_OLIMSEQ(D,C,A)| -c_SEQ_OLIMSEQ(D,B,A).
% 123.30/123.45 ** KEPT (pick-wt=23): 319 [] -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_SEQ_OLIMSEQ(C,D,A).
% 123.30/123.45 ** KEPT (pick-wt=21): 320 [] -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(c_COMBB(B,C,A,A,A),D,A)| -c_Deriv_Odifferentiable(C,D,A)| -c_Deriv_Odifferentiable(B,hAPP(C,D),A).
% 123.30/123.45 ** KEPT (pick-wt=23): 321 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),D),A)| -c_SEQ_OLIMSEQ(C,D,A).
% 123.30/123.46 ** KEPT (pick-wt=9): 322 [] -class_RealVector_Ometric__space(A)|c_SEQ_OCauchy(B,A)| -c_SEQ_OLIMSEQ(B,C,A).
% 123.30/123.46 ** KEPT (pick-wt=15): 323 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(c_COMBB(B,c_Suc,tc_nat,A,tc_nat),C,A)| -c_SEQ_OLIMSEQ(B,C,A).
% 123.30/123.46 ** KEPT (pick-wt=15): 324 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(B,C,A)| -c_SEQ_OLIMSEQ(c_COMBB(B,c_Suc,tc_nat,A,tc_nat),C,A).
% 123.30/123.46 ** KEPT (pick-wt=23): 325 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(A),B,A,A,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(A),C),A)|C=c_HOL_Ozero__class_Ozero(A)| -c_SEQ_OLIMSEQ(B,C,A).
% 123.30/123.46 ** KEPT (pick-wt=21): 326 [] -class_RealVector_Ometric__space(A)|c_Lim_OLIM(c_COMBB(c_Complex_OIm,B,tc_Complex_Ocomplex,tc_RealDef_Oreal,A),C,hAPP(c_Complex_OIm,D),A,tc_RealDef_Oreal)| -c_Lim_OLIM(B,C,D,A,tc_Complex_Ocomplex).
% 123.30/123.46 ** KEPT (pick-wt=17): 327 [] hAPP(c_Complex_OIm,c_Series_Osuminf(A,tc_Complex_Ocomplex))=c_Series_Osuminf(c_COMBB(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_Series_Osummable(A,tc_Complex_Ocomplex).
% 123.30/123.46 ** KEPT (pick-wt=11): 328 [] c_Series_Osummable(c_COMBB(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)| -c_Series_Osummable(A,tc_Complex_Ocomplex).
% 123.30/123.46 ** KEPT (pick-wt=1): 329 [] -v_thesis____.
% 123.30/123.46 ** KEPT (pick-wt=19): 331 [copy,330,unit_del,329] -c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),A,tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=6): 332 [] class_Lattices_Oboolean__algebra(tc_fun(A,B))| -class_Lattices_Oboolean__algebra(B).
% 123.30/123.46 ** KEPT (pick-wt=7): 333 [] A=B| -c_fe_qual(A,B,C).
% 123.30/123.46 61 back subsumes 60.
% 123.30/123.46 70 back subsumes 16.
% 123.30/123.46 71 back subsumes 15.
% 123.30/123.46 111 back subsumes 79.
% 123.30/123.46 264 back subsumes 263.
% 123.30/123.46 297 back subsumes 177.
% 123.30/123.46 331 back subsumes 296.
% 123.30/123.46
% 123.30/123.46 ------------> process sos:
% 123.30/123.46 ** KEPT (pick-wt=3): 382 [] A=A.
% 123.30/123.46 ** KEPT (pick-wt=8): 383 [] c_Lim_OLIM(c_Complex_ORe,A,hAPP(c_Complex_ORe,A),tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=17): 384 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(c_Suc,B)).
% 123.30/123.46 ---> New Demodulator: 385 [new_demod,384] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(c_Suc,B)).
% 123.30/123.46 ** KEPT (pick-wt=5): 386 [] c_Lim_OisCont(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=18): 387 [] hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(A,B,C,tc_Complex_Ocomplex))=c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,C),B,C,tc_RealDef_Oreal).
% 123.30/123.46 ---> New Demodulator: 388 [new_demod,387] hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(A,B,C,tc_Complex_Ocomplex))=c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,C),B,C,tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=23): 389 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 123.30/123.46 ---> New Demodulator: 390 [new_demod,389] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 123.30/123.46 ** KEPT (pick-wt=23): 391 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 123.30/123.46 ** KEPT (pick-wt=14): 392 [] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 123.30/123.46 ** KEPT (pick-wt=8): 393 [] hAPP(c_COMBK(A,B,C),D)=A.
% 123.30/123.46 ---> New Demodulator: 394 [new_demod,393] hAPP(c_COMBK(A,B,C),D)=A.
% 123.30/123.46 ** KEPT (pick-wt=17): 396 [copy,395,demod,385] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(c_Suc,B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus
% 123.30/123.46 -------- PROOF --------
% 123.30/123.46 __class_Oplus(tc_nat),A),B)).
% 123.30/123.46 ---> New Demodulator: 397 [new_demod,396] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(c_Suc,B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 123.30/123.46 Following clause subsumed by 382 during input processing: 0 [demod,397] hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 123.30/123.46 ** KEPT (pick-wt=13): 398 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 123.30/123.46 ** KEPT (pick-wt=9): 399 [] c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,A),hAPP(c_Complex_OIm,A))=A.
% 123.30/123.46 ---> New Demodulator: 400 [new_demod,399] c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,A),hAPP(c_Complex_OIm,A))=A.
% 123.30/123.46 ** KEPT (pick-wt=4): 401 [] c_Lim_OisUCont(c_Complex_ORe,tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=7): 402 [] hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(A,B))=A.
% 123.30/123.46 ---> New Demodulator: 403 [new_demod,402] hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(A,B))=A.
% 123.30/123.46 ** KEPT (pick-wt=8): 404 [] c_Lim_OLIM(c_Complex_OIm,A,hAPP(c_Complex_OIm,A),tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=4): 405 [] c_Lim_OisUCont(c_Complex_OIm,tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=20): 407 [copy,406,flip.1] c_Set_Oimage(c_COMBB(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 123.30/123.46 ---> New Demodulator: 408 [new_demod,407] c_Set_Oimage(c_COMBB(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 123.30/123.46 ** KEPT (pick-wt=13): 409 [] c_SEQ_Oconvergent(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=2): 410 [] c_SEQ_Osubse_q(v_ga____).
% 123.30/123.46 ** KEPT (pick-wt=7): 411 [] hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(A,B))=B.
% 123.30/123.46 ---> New Demodulator: 412 [new_demod,411] hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(A,B))=B.
% 123.30/123.46 ** KEPT (pick-wt=17): 413 [] c_SEQ_Omonose_q(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)).
% 123.30/123.46 ** KEPT (pick-wt=18): 414 [] hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(A,B,C,tc_Complex_Ocomplex))=c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,C),B,C,tc_RealDef_Oreal).
% 123.30/123.46 ---> New Demodulator: 415 [new_demod,414] hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(A,B,C,tc_Complex_Ocomplex))=c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal,C),B,C,tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=18): 416 [] c_SEQ_Oconvergent(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=2): 417 [] c_SEQ_Osubse_q(v_f____).
% 123.30/123.46 ** KEPT (pick-wt=5): 418 [] c_Lim_OisCont(c_Complex_OIm,A,tc_Complex_Ocomplex,tc_RealDef_Oreal).
% 123.30/123.46 ** KEPT (pick-wt=14): 419 [] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 123.30/123.46 ---> New Demodulator: 420 [new_demod,419] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 123.30/123.46 ** KEPT (pick-wt=12): 421 [] c_SEQ_Omonose_q(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)).
% 123.30/123.46 ** KEPT (pick-wt=22): 422 [] c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal).
% 123.30/123.46
% 123.30/123.46 ----> UNIT CONFLICT at 0.06 sec ----> 423 [binary,422.1,331.1] $F.
% 123.30/123.46
% 123.30/123.46 Length of proof is 1. Level of proof is 1.
% 123.30/123.46
% 123.30/123.46 ---------------- PROOF ----------------
% 123.30/123.46 % SZS status Unsatisfiable
% 123.30/123.46 % SZS output start Refutation
% See solution above
% 123.30/123.46 ------------ end of proof -------------
% 123.30/123.46
% 123.30/123.46
% 123.30/123.46 Search stopped by max_proofs option.
% 123.30/123.46
% 123.30/123.46
% 123.30/123.46 Search stopped by max_proofs option.
% 123.30/123.46
% 123.30/123.46 ============ end of search ============
% 123.30/123.46
% 123.30/123.46 -------------- statistics -------------
% 123.30/123.46 clauses given 0
% 123.30/123.46 clauses generated 56
% 123.30/123.46 clauses kept 388
% 123.30/123.46 clauses forward subsumed 58
% 123.30/123.46 clauses back subsumed 7
% 123.30/123.46 Kbytes malloced 6835
% 123.30/123.46
% 123.30/123.46 ----------- times (seconds) -----------
% 123.30/123.46 user CPU time 0.06 (0 hr, 0 min, 0 sec)
% 123.30/123.46 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 123.30/123.46 wall-clock time 123 (0 hr, 2 min, 3 sec)
% 123.30/123.46
% 123.30/123.46 That finishes the proof of the theorem.
% 123.30/123.46
% 123.30/123.46 Process 28609 finished Wed Jul 27 03:56:06 2022
% 123.30/123.46 Otter interrupted
% 123.30/123.46 PROOF FOUND
%------------------------------------------------------------------------------