TSTP Solution File: ALG365-1 by Prover9---1109a

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 17:54:35 EDT 2022

% Result   : Unsatisfiable 0.86s 1.57s
% Output   : Refutation 0.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 11:29:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.86/1.17  ============================== Prover9 ===============================
% 0.86/1.17  Prover9 (32) version 2009-11A, November 2009.
% 0.86/1.17  Process 32245 was started by sandbox on n027.cluster.edu,
% 0.86/1.17  Wed Jun  8 11:29:12 2022
% 0.86/1.17  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32090_n027.cluster.edu".
% 0.86/1.17  ============================== end of head ===========================
% 0.86/1.17  
% 0.86/1.17  ============================== INPUT =================================
% 0.86/1.17  
% 0.86/1.17  % Reading from file /tmp/Prover9_32090_n027.cluster.edu
% 0.86/1.17  
% 0.86/1.17  set(prolog_style_variables).
% 0.86/1.17  set(auto2).
% 0.86/1.17      % set(auto2) -> set(auto).
% 0.86/1.17      % set(auto) -> set(auto_inference).
% 0.86/1.17      % set(auto) -> set(auto_setup).
% 0.86/1.17      % set(auto_setup) -> set(predicate_elim).
% 0.86/1.17      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.86/1.17      % set(auto) -> set(auto_limits).
% 0.86/1.17      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.86/1.17      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.86/1.17      % set(auto) -> set(auto_denials).
% 0.86/1.17      % set(auto) -> set(auto_process).
% 0.86/1.17      % set(auto2) -> assign(new_constants, 1).
% 0.86/1.17      % set(auto2) -> assign(fold_denial_max, 3).
% 0.86/1.17      % set(auto2) -> assign(max_weight, "200.000").
% 0.86/1.17      % set(auto2) -> assign(max_hours, 1).
% 0.86/1.17      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.86/1.17      % set(auto2) -> assign(max_seconds, 0).
% 0.86/1.17      % set(auto2) -> assign(max_minutes, 5).
% 0.86/1.17      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.86/1.17      % set(auto2) -> set(sort_initial_sos).
% 0.86/1.17      % set(auto2) -> assign(sos_limit, -1).
% 0.86/1.17      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.86/1.17      % set(auto2) -> assign(max_megs, 400).
% 0.86/1.17      % set(auto2) -> assign(stats, some).
% 0.86/1.17      % set(auto2) -> clear(echo_input).
% 0.86/1.17      % set(auto2) -> set(quiet).
% 0.86/1.17      % set(auto2) -> clear(print_initial_clauses).
% 0.86/1.17      % set(auto2) -> clear(print_given).
% 0.86/1.17  assign(lrs_ticks,-1).
% 0.86/1.17  assign(sos_limit,10000).
% 0.86/1.17  assign(order,kbo).
% 0.86/1.17  set(lex_order_vars).
% 0.86/1.17  clear(print_given).
% 0.86/1.17  
% 0.86/1.17  % formulas(sos).  % not echoed (477 formulas)
% 0.86/1.17  
% 0.86/1.17  ============================== end of input ==========================
% 0.86/1.17  
% 0.86/1.17  % From the command line: assign(max_seconds, 300).
% 0.86/1.17  
% 0.86/1.17  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.86/1.17  
% 0.86/1.17  % Formulas that are not ordinary clauses:
% 0.86/1.17  
% 0.86/1.17  ============================== end of process non-clausal formulas ===
% 0.86/1.17  
% 0.86/1.17  ============================== PROCESS INITIAL CLAUSES ===============
% 0.86/1.17  
% 0.86/1.17  ============================== PREDICATE ELIMINATION =================
% 0.86/1.17  1 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) # label(axiom).  [assumption].
% 0.86/1.17  2 -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) # label(cls_mult__left_OLIM__zero_0) # label(axiom).  [assumption].
% 0.86/1.17  3 -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) # label(cls_LIM__mult__left__zero_0) # label(axiom).  [assumption].
% 0.86/1.17  4 -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) # label(cls_mult__left_Otendsto_0) # label(axiom).  [assumption].
% 0.86/1.17  5 -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) # label(cls_mult__left_OZfun_0) # label(axiom).  [assumption].
% 0.86/1.17  6 -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) # label(cls_Zfun__mult__left_0) # label(axiom).  [assumption].
% 0.86/1.17  7 -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) # label(cls_mult__left_OLIM_0) # label(axiom).  [assumption].
% 0.86/1.17  8 -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) # label(cls_mult__left_Osetsum_0) # label(axiom).  [assumption].
% 0.86/1.17  9 -class_RealVector_Oreal__normed__algebra(A) | c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(A),B),A,A) # label(cls_mult__right_OisUCont_0) # label(axiom).  [assumption].
% 0.86/1.17  10 -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) # label(cls_mult__right_Ocont_0) # label(axiom).  [assumption].
% 0.86/1.17  11 -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) # label(cls_mult__right_OCauchy_0) # label(axiom).  [assumption].
% 0.86/1.17  12 -class_RealVector_Oreal__normed__algebra(A) | c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A) # label(cls_mult__right_OisCont_0) # label(axiom).  [assumption].
% 0.86/1.17  13 -class_RealVector_Oreal__normed__algebra(A) | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A) | -c_SEQ_OZseq(C,A) # label(cls_mult__right_OZseq_0) # label(axiom).  [assumption].
% 0.86/1.17  14 -class_RealVector_Oreal__normed__algebra(A) | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A) | -c_SEQ_OZseq(C,A) # label(cls_Zseq__mult__right_0) # label(axiom).  [assumption].
% 0.86/1.17  15 -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) # label(cls_mult__right_OLIM__zero_0) # label(axiom).  [assumption].
% 0.86/1.17  16 -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) # label(cls_LIM__mult__right__zero_0) # label(axiom).  [assumption].
% 0.86/1.17  17 -class_RealVector_Oreal__normed__algebra(A) | c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(A),B),A,A) # label(cls_mult_Obounded__linear__right_0) # label(axiom).  [assumption].
% 0.86/1.17  18 -class_RealVector_Oreal__normed__algebra(A) | hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) = 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)) # label(cls_mult__right_Oadd_0) # label(axiom).  [assumption].
% 0.86/1.17  19 -class_RealVector_Oreal__normed__algebra(A) | hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) = 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)) # label(cls_mult_Oadd__right_0) # label(axiom).  [assumption].
% 0.86/1.17  20 -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)) # label(cls_mult__left_Oadd_0) # label(axiom).  [assumption].
% 0.86/1.17  21 -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)) # label(cls_mult_Oadd__left_0) # label(axiom).  [assumption].
% 0.86/1.17  22 -class_RealVector_Oreal__normed__algebra(A) | c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(A),B,A,A,A),A,A) # label(cls_mult_Obounded__linear__left_0) # label(axiom).  [assumption].
% 0.86/1.17  23 -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)) # label(cls_mult_Ominus__left_0) # label(axiom).  [assumption].
% 0.86/1.17  24 -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)) # label(cls_mult__left_Ominus_0) # label(axiom).  [assumption].
% 0.86/1.17  25 -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)) # label(cls_mult_Ominus__right_0) # label(axiom).  [assumption].
% 0.86/1.17  26 -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)) # label(cls_mult__right_Ominus_0) # label(axiom).  [assumption].
% 0.86/1.17  27 -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) # label(cls_mult__right_Otendsto_0) # label(axiom).  [assumption].
% 0.86/1.17  28 -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) # label(cls_mult__right_Osuminf_0) # label(axiom).  [assumption].
% 0.86/1.17  29 -class_RealVector_Oreal__normed__algebra(A) | c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Series_Osuminf(C,A)) | -c_Series_Osummable(C,A) # label(cls_suminf__mult_0) # label(axiom).  [assumption].
% 0.86/1.17  30 -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) # label(cls_mult__right_OLIM_0) # label(axiom).  [assumption].
% 0.86/1.17  31 -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) # label(cls_mult__right_Osetsum_0) # label(axiom).  [assumption].
% 0.86/1.17  32 -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)) # label(cls_mult_OscaleR__left_0) # label(axiom).  [assumption].
% 0.86/1.17  33 -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)) # label(cls_mult__left_OscaleR_0) # label(axiom).  [assumption].
% 0.86/1.17  34 -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)) # label(cls_mult_OscaleR__right_0) # label(axiom).  [assumption].
% 0.86/1.17  35 -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) # label(cls_mult__left_Ocont_0) # label(axiom).  [assumption].
% 0.86/1.17  36 -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) # label(cls_Zfun__mult__right_0) # label(axiom).  [assumption].
% 0.86/1.17  37 -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) # label(cls_mult__right_OZfun_0) # label(axiom).  [assumption].
% 0.86/1.17  38 -class_RealVector_Oreal__normed__algebra(A) | c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(A),B,A,A,A),C,A,A) # label(cls_mult__left_OisCont_0) # label(axiom).  [assumption].
% 0.86/1.17  39 -class_RealVector_Oreal__normed__algebra(A) | c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(A),B,A,A,A),A,A) # label(cls_mult__left_OisUCont_0) # label(axiom).  [assumption].
% 0.86/1.17  40 -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)) # label(cls_mult__right_OscaleR_0) # label(axiom).  [assumption].
% 0.86/1.17  41 -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) # label(cls_summable__mult_0) # label(axiom).  [assumption].
% 0.86/1.17  42 -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) # label(cls_mult__right_Osummable_0) # label(axiom).  [assumption].
% 0.86/1.17  43 -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) # label(cls_mult__right_Osums_0) # label(axiom).  [assumption].
% 0.86/1.17  44 -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) # label(cls_sums__mult_0) # label(axiom).  [assumption].
% 0.86/1.17  45 -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) # label(cls_mult__left_Ozero_0) # label(axiom).  [assumption].
% 0.86/1.17  46 -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) # label(cls_mult_Ozero__left_0) # label(axiom).  [assumption].
% 0.86/1.17  47 -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) # label(cls_mult_Ozero__right_0) # label(axiom).  [assumption].
% 0.86/1.17  48 -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) # label(cls_mult__right_Ozero_0) # label(axiom).  [assumption].
% 0.86/1.17  49 -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) # label(cls_mult__right_OLIMSEQ_0) # label(axiom).  [assumption].
% 0.86/1.17  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_RealDef_Oreal),A),C,A,tc_RealDef_Oreal,tc_RealDef_Oreal),D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) | -c_Lim_OLIM(B,D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).  [resolve(1,a,2,a)].
% 0.86/1.17  Derived: c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_RealDef_Oreal),B),C,B,tc_RealDef_Oreal,tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),D),C),E,B,tc_RealDef_Oreal) | -c_Limits_Otendsto(A,D,E,B,tc_RealDef_Oreal).  [resolve(1,a,4,a)].
% 0.86/1.17  Derived: c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_RealDef_Oreal),B),C,B,tc_RealDef_Oreal,tc_RealDef_Oreal),D,B,tc_RealDef_Oreal) | -c_Limits_OZfun(A,D,B,tc_RealDef_Oreal).  [resolve(1,a,5,a)].
% 0.86/1.17  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_RealDef_Oreal),A),C,A,tc_RealDef_Oreal,tc_RealDef_Oreal),D,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),E),C),A,tc_RealDef_Oreal) | -c_Lim_OLIM(B,D,E,A,tc_RealDef_Oreal).  [resolve(1,a,7,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),c_Finite__Set_Osetsum(A,B,C,tc_RealDef_Oreal)),D) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_RealDef_Oreal),C),D,C,tc_RealDef_Oreal,tc_RealDef_Oreal),B,C,tc_RealDef_Oreal).  [resolve(1,a,8,a)].
% 0.86/1.17  Derived: c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,9,a)].
% 0.86/1.17  Derived: c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,10,a)].
% 0.86/1.17  Derived: c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_SEQ_OCauchy(B,tc_RealDef_Oreal).  [resolve(1,a,11,a)].
% 0.86/1.17  Derived: c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,12,a)].
% 0.86/1.17  Derived: c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_SEQ_OZseq(B,tc_RealDef_Oreal).  [resolve(1,a,13,a)].
% 0.86/1.17  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),C,tc_RealDef_Oreal,tc_RealDef_Oreal,A),D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) | -c_Lim_OLIM(C,D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).  [resolve(1,a,15,a)].
% 0.86/1.17  Derived: c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,17,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)).  [resolve(1,a,18,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),C)).  [resolve(1,a,20,a)].
% 0.86/1.17  Derived: c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,22,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)),B) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)).  [resolve(1,a,23,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),B)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)).  [resolve(1,a,25,a)].
% 0.86/1.17  Derived: c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),D),E,C,tc_RealDef_Oreal) | -c_Limits_Otendsto(B,D,E,C,tc_RealDef_Oreal).  [resolve(1,a,27,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),c_Series_Osuminf(B,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_Series_Osummable(B,tc_RealDef_Oreal).  [resolve(1,a,28,a)].
% 0.86/1.17  Derived: c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),c_Series_Osuminf(B,tc_RealDef_Oreal)) | -c_Series_Osummable(B,tc_RealDef_Oreal).  [resolve(1,a,29,a)].
% 0.86/1.17  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),C,tc_RealDef_Oreal,tc_RealDef_Oreal,A),D,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),E),A,tc_RealDef_Oreal) | -c_Lim_OLIM(C,D,E,A,tc_RealDef_Oreal).  [resolve(1,a,30,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),c_Finite__Set_Osetsum(B,C,D,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,D),C,D,tc_RealDef_Oreal).  [resolve(1,a,31,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),B)),C) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),C)).  [resolve(1,a,32,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)).  [resolve(1,a,34,a)].
% 0.86/1.17  Derived: c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),A),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,35,a)].
% 0.86/1.17  Derived: c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,C),D,C,tc_RealDef_Oreal) | -c_Limits_OZfun(B,D,C,tc_RealDef_Oreal).  [resolve(1,a,36,a)].
% 0.86/1.17  Derived: c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,38,a)].
% 0.86/1.17  Derived: c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,39,a)].
% 0.86/1.17  Derived: c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_Series_Osummable(B,tc_RealDef_Oreal).  [resolve(1,a,41,a)].
% 0.86/1.17  Derived: c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),C),tc_RealDef_Oreal) | -c_Series_Osums(B,C,tc_RealDef_Oreal).  [resolve(1,a,43,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),A) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(1,a,45,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(1,a,47,a)].
% 0.86/1.17  Derived: c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),C),tc_RealDef_Oreal) | -c_SEQ_OLIMSEQ(B,C,tc_RealDef_Oreal).  [resolve(1,a,49,a)].
% 0.86/1.17  50 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) # label(axiom).  [assumption].
% 0.86/1.17  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),A),C,A,tc_Complex_Ocomplex,tc_Complex_Ocomplex),D,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) | -c_Lim_OLIM(B,D,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex).  [resolve(50,a,2,a)].
% 0.86/1.17  Derived: c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),B),C,B,tc_Complex_Ocomplex,tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),D),C),E,B,tc_Complex_Ocomplex) | -c_Limits_Otendsto(A,D,E,B,tc_Complex_Ocomplex).  [resolve(50,a,4,a)].
% 0.86/1.17  Derived: c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),B),C,B,tc_Complex_Ocomplex,tc_Complex_Ocomplex),D,B,tc_Complex_Ocomplex) | -c_Limits_OZfun(A,D,B,tc_Complex_Ocomplex).  [resolve(50,a,5,a)].
% 0.86/1.17  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),A),C,A,tc_Complex_Ocomplex,tc_Complex_Ocomplex),D,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),E),C),A,tc_Complex_Ocomplex) | -c_Lim_OLIM(B,D,E,A,tc_Complex_Ocomplex).  [resolve(50,a,7,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Finite__Set_Osetsum(A,B,C,tc_Complex_Ocomplex)),D) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),C),D,C,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,C,tc_Complex_Ocomplex).  [resolve(50,a,8,a)].
% 0.86/1.17  Derived: c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,9,a)].
% 0.86/1.17  Derived: c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,10,a)].
% 0.86/1.17  Derived: c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_SEQ_OCauchy(B,tc_Complex_Ocomplex).  [resolve(50,a,11,a)].
% 0.86/1.17  Derived: c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,12,a)].
% 0.86/1.17  Derived: c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_SEQ_OZseq(B,tc_Complex_Ocomplex).  [resolve(50,a,13,a)].
% 0.86/1.17  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),C,tc_Complex_Ocomplex,tc_Complex_Ocomplex,A),D,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) | -c_Lim_OLIM(C,D,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex).  [resolve(50,a,15,a)].
% 0.86/1.17  Derived: c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,17,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),C)).  [resolve(50,a,18,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B)),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),C)).  [resolve(50,a,20,a)].
% 0.86/1.17  Derived: c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,22,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)),B) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)).  [resolve(50,a,23,a)].
% 0.86/1.17  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),B)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)).  [resolve(50,a,25,a)].
% 0.86/1.17  Derived: c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),D),E,C,tc_Complex_Ocomplex) | -c_Limits_Otendsto(B,D,E,C,tc_Complex_Ocomplex).  [resolve(50,a,27,a)].
% 0.86/1.18  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),c_Series_Osuminf(B,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_Series_Osummable(B,tc_Complex_Ocomplex).  [resolve(50,a,28,a)].
% 0.86/1.18  Derived: c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),c_Series_Osuminf(B,tc_Complex_Ocomplex)) | -c_Series_Osummable(B,tc_Complex_Ocomplex).  [resolve(50,a,29,a)].
% 0.86/1.18  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),C,tc_Complex_Ocomplex,tc_Complex_Ocomplex,A),D,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),E),A,tc_Complex_Ocomplex) | -c_Lim_OLIM(C,D,E,A,tc_Complex_Ocomplex).  [resolve(50,a,30,a)].
% 0.86/1.18  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),c_Finite__Set_Osetsum(B,C,D,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,D),C,D,tc_Complex_Ocomplex).  [resolve(50,a,31,a)].
% 0.86/1.18  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),B)),C) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),C)).  [resolve(50,a,32,a)].
% 0.86/1.18  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),B),C)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),C)).  [resolve(50,a,34,a)].
% 0.86/1.18  Derived: c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),A),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,35,a)].
% 0.86/1.18  Derived: c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,C),D,C,tc_Complex_Ocomplex) | -c_Limits_OZfun(B,D,C,tc_Complex_Ocomplex).  [resolve(50,a,36,a)].
% 0.86/1.18  Derived: c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,38,a)].
% 0.86/1.18  Derived: c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,39,a)].
% 0.86/1.18  Derived: c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_Series_Osummable(B,tc_Complex_Ocomplex).  [resolve(50,a,41,a)].
% 0.86/1.18  Derived: c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),C),tc_Complex_Ocomplex) | -c_Series_Osums(B,C,tc_Complex_Ocomplex).  [resolve(50,a,43,a)].
% 0.86/1.18  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),A) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(50,a,45,a)].
% 0.86/1.18  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(50,a,47,a)].
% 0.86/1.18  Derived: c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),C),tc_Complex_Ocomplex) | -c_SEQ_OLIMSEQ(B,C,tc_Complex_Ocomplex).  [resolve(50,a,49,a)].
% 0.86/1.18  51 class_Ring__and__Field_Osemiring__0(tc_nat) # label(clsarity_nat__Ring__and__Field_Osemiring__0) # label(axiom).  [assumption].
% 0.86/1.20  52 -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) # label(cls_setsum__left__distrib_0) # label(axiom).  [assumption].
% 0.86/1.20  53 -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) # label(cls_setsum__right__distrib_0) # label(axiom).  [assumption].
% 0.86/1.20  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Finite__Set_Osetsum(A,B,C,tc_nat)),D) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(tc_nat),A,tc_nat,tc_fun(tc_nat,tc_nat),C),D,C,tc_nat,tc_nat),B,C,tc_nat).  [resolve(51,a,52,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),c_Finite__Set_Osetsum(B,C,D,tc_nat)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B,tc_nat,tc_nat,D),C,D,tc_nat).  [resolve(51,a,53,a)].
% 0.86/1.20  54 class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0) # label(axiom).  [assumption].
% 0.86/1.20  55 class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0) # label(axiom).  [assumption].
% 0.86/1.20  56 class_RealVector_Oreal__vector(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__vector) # label(axiom).  [assumption].
% 0.86/1.20  57 -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) # label(cls_scaleR__left_Osetsum_0) # label(axiom).  [assumption].
% 0.86/1.20  58 -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) # label(cls_scaleR__eq__0__iff_0) # label(axiom).  [assumption].
% 0.86/1.20  59 -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)) # label(cls_scaleR__minus__right_0) # label(axiom).  [assumption].
% 0.86/1.20  60 -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) # label(cls_scaleR__eq__0__iff_2) # label(axiom).  [assumption].
% 0.86/1.20  61 -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) # label(cls_scaleR__eq__0__iff_1) # label(axiom).  [assumption].
% 0.86/1.20  62 -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) # label(cls_scaleR__right_Osetsum_0) # label(axiom).  [assumption].
% 0.86/1.20  63 -class_RealVector_Oreal__vector(A) | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) = 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)) # label(cls_scaleR__right_Oadd_0) # label(axiom).  [assumption].
% 0.86/1.20  64 -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)) # label(cls_scaleR__left__commute_0) # label(axiom).  [assumption].
% 0.86/1.20  65 -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) # label(cls_scaleR__cancel__left_1) # label(axiom).  [assumption].
% 0.86/1.20  66 -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)) # label(cls_scaleR__cancel__right_1) # label(axiom).  [assumption].
% 0.86/1.20  67 -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 # label(cls_scaleR__cancel__left_0) # label(axiom).  [assumption].
% 0.86/1.20  68 -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 # label(cls_scaleR__cancel__right_0) # label(axiom).  [assumption].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),c_Finite__Set_Osetsum(A,B,C,tc_RealDef_Oreal)),D) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_RealDef_Oreal),C),D,C,tc_RealDef_Oreal,tc_RealDef_Oreal),B,C,tc_RealDef_Oreal).  [resolve(56,a,57,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),B) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(56,a,58,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),B)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),B)).  [resolve(56,a,59,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(56,a,60,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),A) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(56,a,61,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),c_Finite__Set_Osetsum(B,C,D,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,D),C,D,tc_RealDef_Oreal).  [resolve(56,a,62,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),C)).  [resolve(56,a,63,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),B),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),C)).  [resolve(56,a,64,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),A) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),B).  [resolve(56,a,65,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),B),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)).  [resolve(56,a,66,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),B) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),C) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = C.  [resolve(56,a,67,a)].
% 0.86/1.20  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),B) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),C),B) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = C.  [resolve(56,a,68,a)].
% 0.86/1.21  69 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__vector) # label(axiom).  [assumption].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),c_Finite__Set_Osetsum(A,B,C,tc_RealDef_Oreal)),D) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A,tc_RealDef_Oreal,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),C),D,C,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,C,tc_Complex_Ocomplex).  [resolve(69,a,57,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),B) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(69,a,58,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),B)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),B)).  [resolve(69,a,59,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(69,a,60,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),A) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(69,a,61,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),c_Finite__Set_Osetsum(B,C,D,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,D),C,D,tc_Complex_Ocomplex).  [resolve(69,a,62,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),B)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),C)).  [resolve(69,a,63,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),B),C)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),B),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),C)).  [resolve(69,a,64,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),A) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),B).  [resolve(69,a,65,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),B),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)).  [resolve(69,a,66,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),B) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),C) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = C.  [resolve(69,a,67,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),B) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),C),B) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = C.  [resolve(69,a,68,a)].
% 0.86/1.21  70 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) # label(axiom).  [assumption].
% 0.86/1.21  71 -class_OrderedGroup_Ogroup__add(A) | hAPP(c_HOL_Ouminus__class_Ouminus(A),B) != hAPP(c_HOL_Ouminus__class_Ouminus(A),C) | B = C # label(cls_neg__equal__iff__equal_0) # label(axiom).  [assumption].
% 0.86/1.21  72 -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) # label(cls_neg__equal__0__iff__equal_0) # label(axiom).  [assumption].
% 0.86/1.21  73 -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 # label(cls_add__minus__cancel_0) # label(axiom).  [assumption].
% 0.86/1.21  74 -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 # label(cls_neg__0__equal__iff__equal_0) # label(axiom).  [assumption].
% 0.86/1.21  75 -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) # label(cls_eq__neg__iff__add__eq__0_0) # label(axiom).  [assumption].
% 0.86/1.21  76 -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) # label(cls_right__minus_0) # label(axiom).  [assumption].
% 0.86/1.21  77 -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) # label(cls_left__minus_0) # label(axiom).  [assumption].
% 0.86/1.21  78 -class_OrderedGroup_Ogroup__add(A) | hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)) = B # label(cls_minus__equation__iff_1) # label(axiom).  [assumption].
% 0.86/1.21  79 -class_OrderedGroup_Ogroup__add(A) | B = hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)) # label(cls_equation__minus__iff_1) # label(axiom).  [assumption].
% 0.86/1.21  80 -class_OrderedGroup_Ogroup__add(A) | B = hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)) # label(cls_equation__minus__iff_0) # label(axiom).  [assumption].
% 0.86/1.21  81 -class_OrderedGroup_Ogroup__add(A) | hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)) = B # label(cls_minus__minus_0) # label(axiom).  [assumption].
% 0.86/1.21  82 -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 # label(cls_minus__unique_0) # label(axiom).  [assumption].
% 0.86/1.21  83 -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) # label(cls_eq__neg__iff__add__eq__0_1) # label(axiom).  [assumption].
% 0.86/1.21  84 -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 # label(cls_minus__add__cancel_0) # label(axiom).  [assumption].
% 0.86/1.21  85 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ozero__class_Ozero(A) = hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A)) # label(cls_neg__0__equal__iff__equal_1) # label(axiom).  [assumption].
% 0.86/1.21  86 -class_OrderedGroup_Ogroup__add(A) | hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A)) = c_HOL_Ozero__class_Ozero(A) # label(cls_minus__zero_0) # label(axiom).  [assumption].
% 0.86/1.21  87 -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)) # label(cls_minus__add_0) # label(axiom).  [assumption].
% 0.86/1.21  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),B) | A = B.  [resolve(70,a,71,a)].
% 0.86/1.21  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(70,a,72,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)),B)) = B.  [resolve(70,a,73,a)].
% 0.86/1.21  Derived: c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A) | c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = A.  [resolve(70,a,74,a)].
% 0.86/1.21  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)),A) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(70,a,75,a)].
% 0.86/1.22  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(70,a,76,a)].
% 0.86/1.22  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)) = A.  [resolve(70,a,78,a)].
% 0.86/1.22  Derived: A = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)).  [resolve(70,a,79,a)].
% 0.86/1.22  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A) = B.  [resolve(70,a,82,a)].
% 0.86/1.22  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),B).  [resolve(70,a,83,a)].
% 0.86/1.22  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)) = B.  [resolve(70,a,84,a)].
% 0.86/1.22  Derived: c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)).  [resolve(70,a,85,a)].
% 0.86/1.22  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(70,a,86,a)].
% 0.86/1.22  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),B)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)).  [resolve(70,a,87,a)].
% 0.86/1.22  88 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) # label(axiom).  [assumption].
% 0.86/1.22  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),B) | A = B.  [resolve(88,a,71,a)].
% 0.86/1.22  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(88,a,72,a)].
% 0.86/1.22  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)),B)) = B.  [resolve(88,a,73,a)].
% 0.86/1.22  Derived: c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A) | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = A.  [resolve(88,a,74,a)].
% 0.86/1.22  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)),A) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(88,a,75,a)].
% 0.86/1.22  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(88,a,76,a)].
% 0.86/1.22  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)) = A.  [resolve(88,a,78,a)].
% 0.86/1.22  Derived: A = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)).  [resolve(88,a,79,a)].
% 0.86/1.22  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A) = B.  [resolve(88,a,82,a)].
% 0.86/1.22  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),B).  [resolve(88,a,83,a)].
% 0.86/1.22  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B)) = B.  [resolve(88,a,84,a)].
% 0.86/1.22  Derived: c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)).  [resolve(88,a,85,a)].
% 0.86/1.23  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(88,a,86,a)].
% 0.86/1.23  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),B)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)).  [resolve(88,a,87,a)].
% 0.86/1.23  89 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1) # label(axiom).  [assumption].
% 0.86/1.23  90 -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) # label(cls_of__real_OCauchy_0) # label(axiom).  [assumption].
% 0.86/1.23  91 -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) # label(cls_of__real__0_0) # label(axiom).  [assumption].
% 0.86/1.23  92 -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) # label(cls_of__real_Ozero_0) # label(axiom).  [assumption].
% 0.86/1.23  93 -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) # label(cls_of__real_OLIM__zero_0) # label(axiom).  [assumption].
% 0.86/1.23  94 -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) # label(cls_of__real__eq__0__iff_0) # label(axiom).  [assumption].
% 0.86/1.23  95 -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) # label(cls_of__real_OZfun_0) # label(axiom).  [assumption].
% 0.86/1.23  96 -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) # label(cls_of__real_Otendsto_0) # label(axiom).  [assumption].
% 0.86/1.23  97 -class_RealVector_Oreal__algebra__1(A) | hAPP(c_RealVector_Oof__real(A),B) != hAPP(c_RealVector_Oof__real(A),C) | B = C # label(cls_of__real__eq__iff_0) # label(axiom).  [assumption].
% 0.86/1.23  98 -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) # label(cls_LIM__of__real_0) # label(axiom).  [assumption].
% 0.86/1.23  99 -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) # label(cls_scaleR__conv__of__real_0) # label(axiom).  [assumption].
% 0.86/1.23  100 -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) # label(cls_of__real_Osuminf_0) # label(axiom).  [assumption].
% 0.86/1.23  101 -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) # label(cls_of__real_Osummable_0) # label(axiom).  [assumption].
% 0.86/1.23  102 -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__algebra__1(A) | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(A),B,tc_RealDef_Oreal,A,tc_nat),A) | -c_SEQ_OZseq(B,tc_RealDef_Oreal) # label(cls_of__real_OZseq_0) # label(axiom).  [assumption].
% 0.86/1.23  103 -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) # label(cls_of__real_Osetsum_0) # label(axiom).  [assumption].
% 0.86/1.23  104 -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) # label(cls_of__real_Osums_0) # label(axiom).  [assumption].
% 0.86/1.23  105 -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) # label(cls_of__real_OLIMSEQ_0) # label(axiom).  [assumption].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_SEQ_OCauchy(A,tc_RealDef_Oreal).  [resolve(89,a,90,b)].
% 0.86/1.23  Derived: hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(89,a,91,a)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,A),C,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) | -c_Lim_OLIM(B,C,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).  [resolve(89,a,93,b)].
% 0.86/1.23  Derived: hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),A) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(89,a,94,a)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,B),C,B,tc_RealDef_Oreal) | -c_Limits_OZfun(A,C,B,tc_RealDef_Oreal).  [resolve(89,a,95,b)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,B),hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),C),D,B,tc_RealDef_Oreal) | -c_Limits_Otendsto(A,C,D,B,tc_RealDef_Oreal).  [resolve(89,a,96,b)].
% 0.86/1.23  Derived: hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),A) != hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),B) | A = B.  [resolve(89,a,97,a)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,A),C,hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),D),A,tc_RealDef_Oreal) | -c_Lim_OLIM(B,C,D,A,tc_RealDef_Oreal).  [resolve(89,a,98,b)].
% 0.86/1.23  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),A),B) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),A)),B).  [resolve(89,a,99,a)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),c_Series_Osuminf(A,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_Series_Osummable(A,tc_RealDef_Oreal).  [resolve(89,a,100,b)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_Series_Osummable(A,tc_RealDef_Oreal).  [resolve(89,a,101,b)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_SEQ_OZseq(A,tc_RealDef_Oreal).  [resolve(89,a,102,b)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),c_Finite__Set_Osetsum(A,B,C,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,C),B,C,tc_RealDef_Oreal).  [resolve(89,a,103,b)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),B),tc_RealDef_Oreal) | -c_Series_Osums(A,B,tc_RealDef_Oreal).  [resolve(89,a,104,b)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Oof__real(tc_RealDef_Oreal),B),tc_RealDef_Oreal) | -c_SEQ_OLIMSEQ(A,B,tc_RealDef_Oreal).  [resolve(89,a,105,b)].
% 0.86/1.23  106 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1) # label(axiom).  [assumption].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),A,tc_RealDef_Oreal,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_SEQ_OCauchy(A,tc_RealDef_Oreal).  [resolve(106,a,90,b)].
% 0.86/1.23  Derived: hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(106,a,91,a)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),B,tc_RealDef_Oreal,tc_Complex_Ocomplex,A),C,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) | -c_Lim_OLIM(B,C,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).  [resolve(106,a,93,b)].
% 0.86/1.23  Derived: hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),A) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(106,a,94,a)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),A,tc_RealDef_Oreal,tc_Complex_Ocomplex,B),C,B,tc_Complex_Ocomplex) | -c_Limits_OZfun(A,C,B,tc_RealDef_Oreal).  [resolve(106,a,95,b)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),A,tc_RealDef_Oreal,tc_Complex_Ocomplex,B),hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),C),D,B,tc_Complex_Ocomplex) | -c_Limits_Otendsto(A,C,D,B,tc_RealDef_Oreal).  [resolve(106,a,96,b)].
% 0.86/1.23  Derived: hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),A) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),B) | A = B.  [resolve(106,a,97,a)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),B,tc_RealDef_Oreal,tc_Complex_Ocomplex,A),C,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),D),A,tc_Complex_Ocomplex) | -c_Lim_OLIM(B,C,D,A,tc_RealDef_Oreal).  [resolve(106,a,98,b)].
% 0.86/1.23  Derived: hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),A),B) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),A)),B).  [resolve(106,a,99,a)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),c_Series_Osuminf(A,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),A,tc_RealDef_Oreal,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_Series_Osummable(A,tc_RealDef_Oreal).  [resolve(106,a,100,b)].
% 0.86/1.23  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),A,tc_RealDef_Oreal,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_Series_Osummable(A,tc_RealDef_Oreal).  [resolve(106,a,101,b)].
% 0.86/1.25  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),A,tc_RealDef_Oreal,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_SEQ_OZseq(A,tc_RealDef_Oreal).  [resolve(106,a,102,b)].
% 0.86/1.25  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),c_Finite__Set_Osetsum(A,B,C,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),A,tc_RealDef_Oreal,tc_Complex_Ocomplex,C),B,C,tc_Complex_Ocomplex).  [resolve(106,a,103,b)].
% 0.86/1.25  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),A,tc_RealDef_Oreal,tc_Complex_Ocomplex,tc_nat),hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),B),tc_Complex_Ocomplex) | -c_Series_Osums(A,B,tc_RealDef_Oreal).  [resolve(106,a,104,b)].
% 0.86/1.25  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),A,tc_RealDef_Oreal,tc_Complex_Ocomplex,tc_nat),hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),B),tc_Complex_Ocomplex) | -c_SEQ_OLIMSEQ(A,B,tc_RealDef_Oreal).  [resolve(106,a,105,b)].
% 0.86/1.25  107 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) # label(clsarity_nat__Ring__and__Field_Ocomm__semiring__1) # label(axiom).  [assumption].
% 0.86/1.25  108 -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)) # label(cls_class__semiring_Osemiring__rules_I15_J_0) # label(axiom).  [assumption].
% 0.86/1.25  109 -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))) # label(cls_class__semiring_Osemiring__rules_I14_J_0) # label(axiom).  [assumption].
% 0.86/1.25  110 -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)) # label(cls_class__semiring_Osemiring__rules_I13_J_0) # label(axiom).  [assumption].
% 0.86/1.25  111 -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) # label(cls_class__semiring_Osemiring__rules_I16_J_0) # label(axiom).  [assumption].
% 0.86/1.25  112 -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)) # label(cls_class__semiring_Osemiring__rules_I17_J_0) # label(axiom).  [assumption].
% 0.86/1.25  113 -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),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D) # label(cls_class__semiring_Osemiring__rules_I18_J_0) # label(axiom).  [assumption].
% 0.86/1.25  114 -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)) # label(cls_class__semiring_Osemiring__rules_I19_J_0) # label(axiom).  [assumption].
% 0.86/1.25  115 -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),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D) # label(cls_class__semiring_Omul__a_0) # label(axiom).  [assumption].
% 0.86/1.25  116 -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)) # label(cls_class__semiring_Osemiring__rules_I8_J_0) # label(axiom).  [assumption].
% 0.86/1.25  117 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) = 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)) # label(cls_class__semiring_Omul__d_0) # label(axiom).  [assumption].
% 0.86/1.25  118 -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) # label(cls_class__semiring_Osemiring__rules_I1_J_0) # label(axiom).  [assumption].
% 0.86/1.25  119 -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)) # label(cls_class__semiring_Osemiring__rules_I20_J_0) # label(axiom).  [assumption].
% 0.86/1.25  120 -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) # label(cls_class__semiring_Omul__c_0) # label(axiom).  [assumption].
% 0.86/1.25  121 -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) # label(cls_class__semiring_Osemiring__rules_I7_J_0) # label(axiom).  [assumption].
% 0.86/1.25  122 -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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D) # label(cls_class__semiring_Oadd__a_0) # label(axiom).  [assumption].
% 0.86/1.25  123 -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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D) # label(cls_class__semiring_Osemiring__rules_I25_J_0) # label(axiom).  [assumption].
% 0.86/1.25  124 -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) # label(cls_class__semiring_Osemiring__rules_I23_J_0) # label(axiom).  [assumption].
% 0.86/1.25  125 -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)) # label(cls_class__semiring_Osemiring__rules_I22_J_0) # label(axiom).  [assumption].
% 0.86/1.25  126 -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)) # label(cls_class__semiring_Osemiring__rules_I21_J_0) # label(axiom).  [assumption].
% 0.86/1.25  127 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B) = B # label(cls_class__semiring_Oadd__0_0) # label(axiom).  [assumption].
% 0.86/1.25  128 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A)) = B # label(cls_class__semiring_Osemiring__rules_I6_J_0) # label(axiom).  [assumption].
% 0.86/1.25  129 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B) = B # label(cls_class__semiring_Osemiring__rules_I5_J_0) # label(axiom).  [assumption].
% 0.86/1.25  130 -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) # label(cls_class__semiring_Osemiring__rules_I24_J_0) # label(axiom).  [assumption].
% 0.86/1.25  131 -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) # label(cls_class__semiring_Oadd__c_0) # label(axiom).  [assumption].
% 0.86/1.25  132 -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) # label(cls_class__semiring_Osemiring__rules_I9_J_0) # label(axiom).  [assumption].
% 0.86/1.25  133 -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) # label(cls_class__semiring_Osemiring__rules_I10_J_0) # label(axiom).  [assumption].
% 0.86/1.25  134 -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) # label(cls_class__semiring_Omul__0_0) # label(axiom).  [assumption].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),D)).  [resolve(107,a,108,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D))).  [resolve(107,a,109,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),D)).  [resolve(107,a,110,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),C) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),B).  [resolve(107,a,111,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),C) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).  [resolve(107,a,112,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),C).  [resolve(107,a,113,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)).  [resolve(107,a,114,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).  [resolve(107,a,116,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)).  [resolve(107,a,117,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)),B).  [resolve(107,a,118,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),D)).  [resolve(107,a,119,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).  [resolve(107,a,120,a)].
% 0.86/1.25  Derived: 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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C).  [resolve(107,a,122,a)].
% 0.86/1.25  Derived: 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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)),B).  [resolve(107,a,124,a)].
% 0.86/1.25  Derived: 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)).  [resolve(107,a,125,a)].
% 0.86/1.25  Derived: 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)).  [resolve(107,a,126,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A) = A.  [resolve(107,a,127,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat)) = A.  [resolve(107,a,128,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).  [resolve(107,a,130,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(107,a,132,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(107,a,133,a)].
% 0.86/1.25  135 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) # label(axiom).  [assumption].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),C),D)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),D)).  [resolve(135,a,108,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),C),D)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),C),D))).  [resolve(135,a,109,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),C),D)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),D)).  [resolve(135,a,110,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),C) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)),B).  [resolve(135,a,111,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),C) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),C)).  [resolve(135,a,112,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),C).  [resolve(135,a,113,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)).  [resolve(135,a,114,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),C),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),C)),B).  [resolve(135,a,118,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),C),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),D)).  [resolve(135,a,119,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),A).  [resolve(135,a,120,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)),C).  [resolve(135,a,122,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),C)),B).  [resolve(135,a,124,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),C)).  [resolve(135,a,125,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),C)).  [resolve(135,a,126,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),A) = A.  [resolve(135,a,127,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = A.  [resolve(135,a,128,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),A).  [resolve(135,a,130,a)].
% 0.86/1.25  136 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) # label(axiom).  [assumption].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),C),D)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),D)).  [resolve(136,a,108,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),C),D)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),C),D))).  [resolve(136,a,109,a)].
% 0.86/1.25  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),C),D)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),D)).  [resolve(136,a,110,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),C) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),C)),B).  [resolve(136,a,111,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),C) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),C)).  [resolve(136,a,112,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),C)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),C).  [resolve(136,a,113,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),C)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),C)).  [resolve(136,a,114,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),C),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),C)),B).  [resolve(136,a,118,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),C),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),D)).  [resolve(136,a,119,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),A).  [resolve(136,a,120,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B)),C).  [resolve(136,a,122,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B)),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),C)),B).  [resolve(136,a,124,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),C)).  [resolve(136,a,125,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B)),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),C)).  [resolve(136,a,126,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),A) = A.  [resolve(136,a,127,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = A.  [resolve(136,a,128,a)].
% 0.86/1.26  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),A).  [resolve(136,a,130,a)].
% 0.86/1.26  137 class_SEQ_Obanach(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__SEQ_Obanach) # label(axiom).  [assumption].
% 0.86/1.26  138 -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) # label(cls_summable__norm__cancel_0) # label(axiom).  [assumption].
% 0.86/1.27  Derived: c_Series_Osummable(A,tc_RealDef_Oreal) | -c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal).  [resolve(137,a,138,a)].
% 0.86/1.27  139 class_SEQ_Obanach(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__SEQ_Obanach) # label(axiom).  [assumption].
% 0.86/1.27  Derived: c_Series_Osummable(A,tc_Complex_Ocomplex) | -c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal).  [resolve(139,a,138,a)].
% 0.86/1.27  140 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) # label(axiom).  [assumption].
% 0.86/1.27  141 -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) # label(cls_isCont__inverse_0) # label(axiom).  [assumption].
% 0.86/1.27  142 -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) # label(cls_LIM__inverse_0) # label(axiom).  [assumption].
% 0.86/1.27  143 -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) # label(cls_tendsto__inverse_0) # label(axiom).  [assumption].
% 0.86/1.27  144 -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) # label(cls_LIM__inverse__fun_0) # label(axiom).  [assumption].
% 0.86/1.27  145 -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) # label(cls_LIMSEQ__inverse_0) # label(axiom).  [assumption].
% 0.86/1.27  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,A),C,A,tc_RealDef_Oreal) | hAPP(B,C) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | -c_Lim_OisCont(B,C,A,tc_RealDef_Oreal).  [resolve(140,a,141,b)].
% 0.86/1.27  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,A),C,hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),D),A,tc_RealDef_Oreal) | D = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | -c_Lim_OLIM(B,C,D,A,tc_RealDef_Oreal).  [resolve(140,a,142,a)].
% 0.86/1.27  Derived: c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,B),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),C),D,B,tc_RealDef_Oreal) | C = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | -c_Limits_Otendsto(A,C,D,B,tc_RealDef_Oreal).  [resolve(140,a,143,a)].
% 0.86/1.27  Derived: c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A,hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A),tc_RealDef_Oreal,tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(140,a,144,a)].
% 0.86/1.27  Derived: c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B),tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | -c_SEQ_OLIMSEQ(A,B,tc_RealDef_Oreal).  [resolve(140,a,145,a)].
% 0.86/1.27  146 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) # label(axiom).  [assumption].
% 0.86/1.27  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,A),C,A,tc_Complex_Ocomplex) | hAPP(B,C) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -c_Lim_OisCont(B,C,A,tc_Complex_Ocomplex).  [resolve(146,a,141,b)].
% 0.86/1.28  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,A),C,hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),D),A,tc_Complex_Ocomplex) | D = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -c_Lim_OLIM(B,C,D,A,tc_Complex_Ocomplex).  [resolve(146,a,142,a)].
% 0.86/1.28  Derived: c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,B),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),C),D,B,tc_Complex_Ocomplex) | C = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -c_Limits_Otendsto(A,C,D,B,tc_Complex_Ocomplex).  [resolve(146,a,143,a)].
% 0.86/1.28  Derived: c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A,hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A),tc_Complex_Ocomplex,tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(146,a,144,a)].
% 0.86/1.28  Derived: c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -c_SEQ_OLIMSEQ(A,B,tc_Complex_Ocomplex).  [resolve(146,a,145,a)].
% 0.86/1.28  147 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field) # label(axiom).  [assumption].
% 0.86/1.28  148 -class_RealVector_Oreal__normed__field(A) | c_Deriv_Odifferentiable(c_COMBK(B,A,A),C,A) # label(cls_differentiable__const_0) # label(axiom).  [assumption].
% 0.86/1.28  149 -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) # label(cls_differentiable__minus_0) # label(axiom).  [assumption].
% 0.86/1.28  150 -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) # label(cls_differentiable__inverse_0) # label(axiom).  [assumption].
% 0.86/1.28  151 -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) # label(cls_differentiable__compose_0) # label(axiom).  [assumption].
% 0.86/1.28  Derived: c_Deriv_Odifferentiable(c_COMBK(A,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal).  [resolve(147,a,148,a)].
% 0.86/1.28  Derived: c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal) | -c_Deriv_Odifferentiable(A,B,tc_RealDef_Oreal).  [resolve(147,a,149,a)].
% 0.86/1.28  Derived: c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal) | hAPP(A,B) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | -c_Deriv_Odifferentiable(A,B,tc_RealDef_Oreal).  [resolve(147,a,150,a)].
% 0.86/1.28  Derived: c_Deriv_Odifferentiable(c_COMBB(A,B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),C,tc_RealDef_Oreal) | -c_Deriv_Odifferentiable(B,C,tc_RealDef_Oreal) | -c_Deriv_Odifferentiable(A,hAPP(B,C),tc_RealDef_Oreal).  [resolve(147,a,151,a)].
% 0.86/1.28  152 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) # label(axiom).  [assumption].
% 0.86/1.28  Derived: c_Deriv_Odifferentiable(c_COMBK(A,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(152,a,148,a)].
% 0.86/1.28  Derived: c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | -c_Deriv_Odifferentiable(A,B,tc_Complex_Ocomplex).  [resolve(152,a,149,a)].
% 0.86/1.28  Derived: c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | hAPP(A,B) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -c_Deriv_Odifferentiable(A,B,tc_Complex_Ocomplex).  [resolve(152,a,150,a)].
% 0.86/1.30  Derived: c_Deriv_Odifferentiable(c_COMBB(A,B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) | -c_Deriv_Odifferentiable(B,C,tc_Complex_Ocomplex) | -c_Deriv_Odifferentiable(A,hAPP(B,C),tc_Complex_Ocomplex).  [resolve(152,a,151,a)].
% 0.86/1.30  153 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1) # label(axiom).  [assumption].
% 0.86/1.30  154 -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) # label(cls_LIM__unique_0) # label(axiom).  [assumption].
% 0.86/1.30  155 -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) # label(cls_LIM__not__zero_0) # label(axiom).  [assumption].
% 0.86/1.30  156 -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 # label(cls_LIM__const__not__eq_0) # label(axiom).  [assumption].
% 0.86/1.30  157 -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) # label(cls_LIM__const__eq_0) # label(axiom).  [assumption].
% 0.86/1.30  158 -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) # label(cls_isCont__of__real_0) # label(axiom).  [assumption].
% 0.86/1.30  Derived: -class_RealVector_Ometric__space(A) | B = C | -c_Lim_OLIM(D,E,C,tc_RealDef_Oreal,A) | -c_Lim_OLIM(D,E,B,tc_RealDef_Oreal,A).  [resolve(153,a,154,b)].
% 0.86/1.30  Derived: -class_RealVector_Ometric__space(A) | -class_HOL_Ozero(A) | -c_Lim_OLIM(c_COMBK(B,A,tc_RealDef_Oreal),C,c_HOL_Ozero__class_Ozero(A),tc_RealDef_Oreal,A) | B = c_HOL_Ozero__class_Ozero(A).  [resolve(153,a,155,c)].
% 0.86/1.30  Derived: -class_RealVector_Ometric__space(A) | -c_Lim_OLIM(c_COMBK(B,A,tc_RealDef_Oreal),C,D,tc_RealDef_Oreal,A) | B = D.  [resolve(153,a,156,b)].
% 0.86/1.30  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,A),C,A,tc_RealDef_Oreal) | -c_Lim_OisCont(B,C,A,tc_RealDef_Oreal).  [resolve(153,a,158,b)].
% 0.86/1.30  159 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) # label(axiom).  [assumption].
% 0.86/1.30  Derived: -class_RealVector_Ometric__space(A) | B = C | -c_Lim_OLIM(D,E,C,tc_Complex_Ocomplex,A) | -c_Lim_OLIM(D,E,B,tc_Complex_Ocomplex,A).  [resolve(159,a,154,b)].
% 0.86/1.30  Derived: -class_RealVector_Ometric__space(A) | -class_HOL_Ozero(A) | -c_Lim_OLIM(c_COMBK(B,A,tc_Complex_Ocomplex),C,c_HOL_Ozero__class_Ozero(A),tc_Complex_Ocomplex,A) | B = c_HOL_Ozero__class_Ozero(A).  [resolve(159,a,155,c)].
% 0.86/1.30  Derived: -class_RealVector_Ometric__space(A) | -c_Lim_OLIM(c_COMBK(B,A,tc_Complex_Ocomplex),C,D,tc_Complex_Ocomplex,A) | B = D.  [resolve(159,a,156,b)].
% 0.86/1.30  Derived: -class_RealVector_Ometric__space(A) | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(tc_Complex_Ocomplex),B,tc_RealDef_Oreal,tc_Complex_Ocomplex,A),C,A,tc_Complex_Ocomplex) | -c_Lim_OisCont(B,C,A,tc_RealDef_Oreal).  [resolve(159,a,158,b)].
% 0.86/1.30  160 class_Ring__and__Field_Oring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oring) # label(axiom).  [assumption].
% 0.86/1.30  161 -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),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C) # label(cls_minus__mult__left_0) # label(axiom).  [assumption].
% 0.86/1.30  162 -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)) # label(cls_minus__mult__right_0) # label(axiom).  [assumption].
% 0.86/1.31  163 -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) # label(cls_minus__mult__minus_0) # label(axiom).  [assumption].
% 0.86/1.31  164 -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)) # label(cls_minus__mult__commute_0) # label(axiom).  [assumption].
% 0.86/1.31  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)),B).  [resolve(160,a,161,a)].
% 0.86/1.31  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),B)).  [resolve(160,a,162,a)].
% 0.86/1.31  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B).  [resolve(160,a,163,a)].
% 0.86/1.31  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)),B) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),B)).  [resolve(160,a,164,a)].
% 0.86/1.31  165 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring) # label(axiom).  [assumption].
% 0.86/1.31  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)),B).  [resolve(165,a,161,a)].
% 0.86/1.31  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),B)).  [resolve(165,a,162,a)].
% 0.86/1.31  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B).  [resolve(165,a,163,a)].
% 0.86/1.31  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)),B) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),B)).  [resolve(165,a,164,a)].
% 0.86/1.31  166 -class_RealVector_Ometric__space(A) | -class_RealVector_Ometric__space(B) | c_Lim_OisCont(C,D,A,B) | -c_Lim_OisUCont(C,A,B) # label(cls_isUCont__isCont_0) # label(axiom).  [assumption].
% 0.86/1.31  167 -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) # label(cls_bounded__linear_OisUCont_0) # label(axiom).  [assumption].
% 0.86/1.31  168 -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) # label(cls_isUCont__Cauchy_0) # label(axiom).  [assumption].
% 0.86/1.31  169 -class_RealVector_Oreal__normed__vector(A) | c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),A,A) # label(cls_scaleR__right_OisUCont_0) # label(axiom).  [assumption].
% 0.86/1.31  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Ometric__space(A) | -class_RealVector_Ometric__space(A) | c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A).  [resolve(169,b,166,d)].
% 0.86/1.32  170 c_Lim_OisUCont(c_Complex_ORe,tc_Complex_Ocomplex,tc_RealDef_Oreal) # label(cls_Re_OisUCont_0) # label(axiom).  [assumption].
% 0.86/1.32  Derived: -class_RealVector_Ometric__space(tc_Complex_Ocomplex) | -class_RealVector_Ometric__space(tc_RealDef_Oreal) | c_Lim_OisCont(c_Complex_ORe,A,tc_Complex_Ocomplex,tc_RealDef_Oreal).  [resolve(170,a,166,d)].
% 0.86/1.32  Derived: -class_RealVector_Ometric__space(tc_Complex_Ocomplex) | -class_RealVector_Ometric__space(tc_RealDef_Oreal) | 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).  [resolve(170,a,168,e)].
% 0.86/1.32  171 c_Lim_OisUCont(c_Complex_OIm,tc_Complex_Ocomplex,tc_RealDef_Oreal) # label(cls_Im_OisUCont_0) # label(axiom).  [assumption].
% 0.86/1.32  172 c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,9,a)].
% 0.86/1.32  173 c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,39,a)].
% 0.86/1.32  Derived: -class_RealVector_Ometric__space(tc_RealDef_Oreal) | -class_RealVector_Ometric__space(tc_RealDef_Oreal) | c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(173,a,166,d)].
% 0.86/1.32  Derived: -class_RealVector_Ometric__space(tc_RealDef_Oreal) | -class_RealVector_Ometric__space(tc_RealDef_Oreal) | c_SEQ_OCauchy(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_SEQ_OCauchy(B,tc_RealDef_Oreal).  [resolve(173,a,168,e)].
% 0.86/1.32  174 c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,9,a)].
% 0.86/1.32  175 c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,39,a)].
% 0.86/1.32  Derived: -class_RealVector_Ometric__space(tc_Complex_Ocomplex) | -class_RealVector_Ometric__space(tc_Complex_Ocomplex) | c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(175,a,166,d)].
% 0.86/1.32  Derived: -class_RealVector_Ometric__space(tc_Complex_Ocomplex) | -class_RealVector_Ometric__space(tc_Complex_Ocomplex) | c_SEQ_OCauchy(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_SEQ_OCauchy(B,tc_Complex_Ocomplex).  [resolve(175,a,168,e)].
% 0.86/1.32  176 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oidom) # label(axiom).  [assumption].
% 0.86/1.32  177 -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) # label(cls_class__ringb_Oadd__scale__eq__noteq_0) # label(axiom).  [assumption].
% 0.86/1.32  178 -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) # label(cls_square__eq__iff_1) # label(axiom).  [assumption].
% 0.86/1.32  179 -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 # label(cls_class__ringb_Oadd__cancel_0) # label(axiom).  [assumption].
% 0.86/1.32  180 -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 # label(cls_square__eq__iff_0) # label(axiom).  [assumption].
% 0.86/1.32  181 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | B != hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_class__ringb_Oadd__r0__iff_0) # label(axiom).  [assumption].
% 0.86/1.32  182 -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)) # label(cls_class__ringb_Oadd__mul__solve_1) # label(axiom).  [assumption].
% 0.86/1.32  183 -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)) # label(cls_class__ringb_Onoteq__reduce_1) # label(axiom).  [assumption].
% 0.86/1.32  184 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | B = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A)) # label(cls_class__ringb_Oadd__r0__iff_1) # label(axiom).  [assumption].
% 0.86/1.32  185 -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 # label(cls_class__ringb_Onoteq__reduce_0) # label(axiom).  [assumption].
% 0.86/1.32  186 -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 # label(cls_class__ringb_Oadd__mul__solve_0) # label(axiom).  [assumption].
% 0.86/1.32  Derived: -class_Int_Onumber__ring(tc_RealDef_Oreal) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),C)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),D)) | C = D | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(176,a,177,a)].
% 0.86/1.32  Derived: -class_Int_Onumber__ring(tc_RealDef_Oreal) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),C) | B = C.  [resolve(176,a,179,a)].
% 0.86/1.32  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),A) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),B) | A = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),B) | A = B.  [resolve(176,a,180,a)].
% 0.86/1.32  Derived: -class_Int_Onumber__ring(tc_RealDef_Oreal) | A != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(176,a,181,a)].
% 0.86/1.33  Derived: -class_Int_Onumber__ring(tc_RealDef_Oreal) | A = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)).  [resolve(176,a,184,a)].
% 0.86/1.33  Derived: -class_Int_Onumber__ring(tc_RealDef_Oreal) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),C),D)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),C),B)) | B = D | A = C.  [resolve(176,a,185,a)].
% 0.86/1.33  187 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) # label(axiom).  [assumption].
% 0.86/1.33  Derived: -class_Int_Onumber__ring(tc_Complex_Ocomplex) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),C)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),D)) | C = D | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(187,a,177,a)].
% 0.86/1.34  Derived: -class_Int_Onumber__ring(tc_Complex_Ocomplex) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),C) | B = C.  [resolve(187,a,179,a)].
% 0.86/1.34  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),A) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),B) | A = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),B) | A = B.  [resolve(187,a,180,a)].
% 0.86/1.34  Derived: -class_Int_Onumber__ring(tc_Complex_Ocomplex) | A != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(187,a,181,a)].
% 0.86/1.34  Derived: -class_Int_Onumber__ring(tc_Complex_Ocomplex) | A = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)).  [resolve(187,a,184,a)].
% 0.86/1.34  Derived: -class_Int_Onumber__ring(tc_Complex_Ocomplex) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),C),D)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),C),B)) | B = D | A = C.  [resolve(187,a,185,a)].
% 0.86/1.34  188 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict) # label(axiom).  [assumption].
% 0.86/1.34  189 -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) # label(cls_sum__squares__eq__zero__iff_0) # label(axiom).  [assumption].
% 0.86/1.34  190 -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) # label(cls_sum__squares__eq__zero__iff_1) # label(axiom).  [assumption].
% 0.86/1.34  191 -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) # label(cls_sum__squares__eq__zero__iff_2) # label(axiom).  [assumption].
% 0.86/1.34  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),A)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),B)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(188,a,189,a)].
% 0.86/1.34  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),A)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),B)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(188,a,190,a)].
% 0.86/1.34  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(188,a,191,a)].
% 0.86/1.34  192 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring) # label(axiom).  [assumption].
% 0.86/1.34  193 -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 # label(cls_inverse__eq__iff__eq_0) # label(axiom).  [assumption].
% 0.86/1.34  194 -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) # label(cls_nonzero__inverse__eq__imp__eq_0) # label(axiom).  [assumption].
% 0.86/1.34  195 -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) # label(cls_inverse__nonzero__iff__nonzero_1) # label(axiom).  [assumption].
% 0.86/1.34  196 -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_Ouminus__class_Ouminus(A),B)) = hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B)) # label(cls_inverse__minus__eq_0) # label(axiom).  [assumption].
% 0.86/1.34  197 -class_Ring__and__Field_Odivision__ring(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B)),hAPP(c_HOL_Oinverse__class_Oinverse(A),C)) = 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)) | C = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_division__ring__inverse__add_0) # label(axiom).  [assumption].
% 0.86/1.34  198 -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) # label(cls_nonzero__inverse__mult__distrib_0) # label(axiom).  [assumption].
% 0.86/1.34  199 -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) # label(cls_nonzero__inverse__inverse__eq_0) # label(axiom).  [assumption].
% 0.86/1.34  200 -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 # label(cls_inverse__inverse__eq_0) # label(axiom).  [assumption].
% 0.86/1.34  201 -class_Ring__and__Field_Odivision__ring(A) | hAPP(c_HOL_Oinverse__class_Oinverse(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)) = hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B)) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__inverse__minus__eq_0) # label(axiom).  [assumption].
% 0.86/1.34  202 -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) # label(cls_inverse__nonzero__iff__nonzero_0) # label(axiom).  [assumption].
% 0.86/1.34  203 -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) # label(cls_inverse__zero__imp__zero_0) # label(axiom).  [assumption].
% 0.86/1.34  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A) != hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B) | A = B.  [resolve(192,a,193,a)].
% 0.86/1.34  Derived: hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A) != hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B) | A = B | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(192,a,194,a)].
% 0.86/1.34  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(192,a,195,a)].
% 0.86/1.34  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A)).  [resolve(192,a,196,a)].
% 0.86/1.34  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A)),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B))),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B)) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(192,a,197,a)].
% 0.86/1.34  Derived: hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B)),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A)) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(192,a,198,a)].
% 0.86/1.34  Derived: hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A)) = A | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(192,a,199,a)].
% 0.86/1.34  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A)) = A.  [resolve(192,a,200,a)].
% 0.86/1.34  Derived: hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A)) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(192,a,201,a)].
% 0.86/1.34  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(192,a,202,a)].
% 0.86/1.34  Derived: hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(192,a,203,a)].
% 0.86/1.34  204 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) # label(axiom).  [assumption].
% 0.86/1.34  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A) != hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B) | A = B.  [resolve(204,a,193,a)].
% 0.86/1.34  Derived: hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A) != hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B) | A = B | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(204,a,194,a)].
% 0.86/1.34  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(204,a,195,a)].
% 0.86/1.34  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A)).  [resolve(204,a,196,a)].
% 0.86/1.34  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A)),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B))),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B)) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(204,a,197,a)].
% 0.86/1.35  Derived: hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B)),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A)) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(204,a,198,a)].
% 0.86/1.35  Derived: hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A)) = A | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(204,a,199,a)].
% 0.86/1.35  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A)) = A.  [resolve(204,a,200,a)].
% 0.86/1.35  Derived: hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A)) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(204,a,201,a)].
% 0.86/1.35  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(204,a,202,a)].
% 0.86/1.35  Derived: hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(204,a,203,a)].
% 0.86/1.35  205 -class_RealVector_Oreal__normed__vector(A) | c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),A,A) # label(cls_scaleR_Obounded__linear__right_0) # label(axiom).  [assumption].
% 0.86/1.35  206 -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) # label(cls_bounded__linear_OLIM__zero_0) # label(axiom).  [assumption].
% 0.86/1.35  207 -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(B) | c_SEQ_OZseq(c_COMBB(C,D,A,B,tc_nat),B) | -c_SEQ_OZseq(D,A) | -c_RealVector_Obounded__linear(C,A,B) # label(cls_bounded__linear_OZseq_0) # label(axiom).  [assumption].
% 0.86/1.35  208 -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,V6),C,B) | -c_Lim_OLIM(E,F,V6,C,A) | -c_RealVector_Obounded__linear(D,A,B) # label(cls_bounded__linear_OLIM_0) # label(axiom).  [assumption].
% 0.86/1.35  209 -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),V6,E,A) | -c_Limits_Otendsto(D,F,V6,E,B) | -c_RealVector_Obounded__linear(C,B,A) # label(cls_bounded__linear_Otendsto_0) # label(axiom).  [assumption].
% 0.86/1.35  210 -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) # label(cls_bounded__linear_Osummable_0) # label(axiom).  [assumption].
% 0.86/1.35  211 -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) # label(cls_bounded__linear_OisCont_0) # label(axiom).  [assumption].
% 0.86/1.35  212 -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) # label(cls_bounded__linear_OZfun_0) # label(axiom).  [assumption].
% 0.86/1.35  213 -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) # label(cls_bounded__linear_OscaleR_0) # label(axiom).  [assumption].
% 0.86/1.35  214 -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) # label(cls_bounded__linear_Osums_0) # label(axiom).  [assumption].
% 0.86/1.35  215 -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) # label(cls_bounded__linear_Ocont_0) # label(axiom).  [assumption].
% 0.86/1.35  216 -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) # label(cls_bounded__linear_OCauchy_0) # label(axiom).  [assumption].
% 0.86/1.35  217 -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) # label(cls_bounded__linear_Osuminf_0) # label(axiom).  [assumption].
% 0.86/1.35  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -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).  [resolve(205,b,206,f)].
% 0.86/1.35  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A,tc_nat),A) | -c_SEQ_OZseq(C,A).  [resolve(205,b,207,e)].
% 0.86/1.35  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -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).  [resolve(205,b,208,f)].
% 0.86/1.35  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -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).  [resolve(205,b,209,e)].
% 0.86/1.35  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -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).  [resolve(205,b,210,e)].
% 0.86/1.35  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(A),B),C,A,A).  [resolve(205,b,211,d)].
% 0.86/1.35  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -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).  [resolve(205,b,212,e)].
% 0.86/1.35  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -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)).  [resolve(205,b,213,d)].
% 0.86/1.35  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -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).  [resolve(205,b,214,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -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).  [resolve(205,b,215,d)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -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).  [resolve(205,b,216,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(A) | -class_RealVector_Oreal__normed__vector(A) | -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).  [resolve(205,b,217,e)].
% 0.86/1.36  218 -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) # label(cls_bounded__linear_OLIMSEQ_0) # label(axiom).  [assumption].
% 0.86/1.36  219 c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,17,a)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),C,tc_RealDef_Oreal,tc_RealDef_Oreal,A),D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) | -c_Lim_OLIM(C,D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).  [resolve(219,a,206,f)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_SEQ_OZseq(B,tc_RealDef_Oreal).  [resolve(219,a,207,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(219,a,211,d)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(219,a,215,d)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_SEQ_OCauchy(B,tc_RealDef_Oreal).  [resolve(219,a,216,e)].
% 0.86/1.36  220 c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(1,a,22,a)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),C,tc_RealDef_Oreal,tc_RealDef_Oreal,A),D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) | -c_Lim_OLIM(C,D,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).  [resolve(220,a,206,f)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_SEQ_OZseq(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_SEQ_OZseq(B,tc_RealDef_Oreal).  [resolve(220,a,207,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),C,tc_RealDef_Oreal,tc_RealDef_Oreal,A),D,hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),E),A,tc_RealDef_Oreal) | -c_Lim_OLIM(C,D,E,A,tc_RealDef_Oreal).  [resolve(220,a,208,f)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Limits_Otendsto(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,C),hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),D),E,C,tc_RealDef_Oreal) | -c_Limits_Otendsto(B,D,E,C,tc_RealDef_Oreal).  [resolve(220,a,209,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Series_Osummable(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_Series_Osummable(B,tc_RealDef_Oreal).  [resolve(220,a,210,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Limits_OZfun(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,C),D,C,tc_RealDef_Oreal) | -c_Limits_OZfun(B,D,C,tc_RealDef_Oreal).  [resolve(220,a,212,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal),B),hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),C)).  [resolve(220,a,213,d)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Series_Osums(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),C),tc_RealDef_Oreal) | -c_Series_Osums(B,C,tc_RealDef_Oreal).  [resolve(220,a,214,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B),tc_RealDef_Oreal,tc_RealDef_Oreal).  [resolve(220,a,215,d)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_SEQ_OCauchy(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_SEQ_OCauchy(B,tc_RealDef_Oreal).  [resolve(220,a,216,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),c_Series_Osuminf(B,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) | -c_Series_Osummable(B,tc_RealDef_Oreal).  [resolve(220,a,217,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | -class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | c_SEQ_OLIMSEQ(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),B,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat),hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_RealDef_Oreal),C),tc_RealDef_Oreal) | -c_SEQ_OLIMSEQ(B,C,tc_RealDef_Oreal).  [resolve(220,a,218,e)].
% 0.86/1.36  221 c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,17,a)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B),C,tc_Complex_Ocomplex,tc_Complex_Ocomplex,A),D,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) | -c_Lim_OLIM(C,D,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex).  [resolve(221,a,206,f)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_SEQ_OZseq(B,tc_Complex_Ocomplex).  [resolve(221,a,207,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(221,a,211,d)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(221,a,215,d)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_SEQ_OCauchy(B,tc_Complex_Ocomplex).  [resolve(221,a,216,e)].
% 0.86/1.36  222 c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(50,a,22,a)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex,tc_Complex_Ocomplex,A),D,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) | -c_Lim_OLIM(C,D,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex).  [resolve(222,a,206,f)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_SEQ_OZseq(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_SEQ_OZseq(B,tc_Complex_Ocomplex).  [resolve(222,a,207,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Ometric__space(A) | c_Lim_OLIM(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex,tc_Complex_Ocomplex,A),D,hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),E),A,tc_Complex_Ocomplex) | -c_Lim_OLIM(C,D,E,A,tc_Complex_Ocomplex).  [resolve(222,a,208,f)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Limits_Otendsto(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,C),hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),D),E,C,tc_Complex_Ocomplex) | -c_Limits_Otendsto(B,D,E,C,tc_Complex_Ocomplex).  [resolve(222,a,209,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Series_Osummable(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_Series_Osummable(B,tc_Complex_Ocomplex).  [resolve(222,a,210,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Limits_OZfun(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,C),D,C,tc_Complex_Ocomplex) | -c_Limits_OZfun(B,D,C,tc_Complex_Ocomplex).  [resolve(222,a,212,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),B),C)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex),B),hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),C)).  [resolve(222,a,213,d)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Series_Osums(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),C),tc_Complex_Ocomplex) | -c_Series_Osums(B,C,tc_Complex_Ocomplex).  [resolve(222,a,214,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex,tc_Complex_Ocomplex).  [resolve(222,a,215,d)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_SEQ_OCauchy(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_SEQ_OCauchy(B,tc_Complex_Ocomplex).  [resolve(222,a,216,e)].
% 0.86/1.36  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),c_Series_Osuminf(B,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) | -c_Series_Osummable(B,tc_Complex_Ocomplex).  [resolve(222,a,217,e)].
% 0.86/1.40  Derived: -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | -class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | c_SEQ_OLIMSEQ(c_COMBB(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_Complex_Ocomplex),C),tc_Complex_Ocomplex) | -c_SEQ_OLIMSEQ(B,C,tc_Complex_Ocomplex).  [resolve(222,a,218,e)].
% 0.86/1.40  223 class_OrderedGroup_Oab__semigroup__mult(tc_nat) # label(clsarity_nat__OrderedGroup_Oab__semigroup__mult) # label(axiom).  [assumption].
% 0.86/1.40  224 -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)) # label(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) # label(axiom).  [assumption].
% 0.86/1.40  225 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult) # label(axiom).  [assumption].
% 0.86/1.40  226 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) # label(axiom).  [assumption].
% 0.86/1.40  227 class_Ring__and__Field_Ocomm__semiring(tc_nat) # label(clsarity_nat__Ring__and__Field_Ocomm__semiring) # label(axiom).  [assumption].
% 0.86/1.40  228 -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)) # label(cls_comm__semiring__class_Odistrib_0) # label(axiom).  [assumption].
% 0.86/1.40  229 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring) # label(axiom).  [assumption].
% 0.86/1.40  230 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring) # label(axiom).  [assumption].
% 0.86/1.40  231 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add) # label(axiom).  [assumption].
% 0.86/1.40  232 -class_OrderedGroup_Oordered__ab__group__add(A) | hAPP(c_HOL_Ouminus__class_Ouminus(A),B) != B | B = c_HOL_Ozero__class_Ozero(A) # label(cls_neg__equal__zero_0) # label(axiom).  [assumption].
% 0.86/1.40  233 -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) # label(cls_neg__equal__zero_1) # label(axiom).  [assumption].
% 0.86/1.40  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A) != A | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(231,a,232,a)].
% 0.86/1.40  234 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Ofield) # label(axiom).  [assumption].
% 0.86/1.40  235 -class_Ring__and__Field_Ofield(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B)),hAPP(c_HOL_Oinverse__class_Oinverse(A),C)) = 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)) | C = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_inverse__add_0) # label(axiom).  [assumption].
% 0.86/1.40  236 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(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),B)),hAPP(c_HOL_Oinverse__class_Oinverse(A),C)) # label(cls_inverse__mult__distrib_0) # label(axiom).  [assumption].
% 0.86/1.40  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A)),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A))),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B)) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(234,a,235,a)].
% 0.86/1.41  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),A)),hAPP(c_HOL_Oinverse__class_Oinverse(tc_RealDef_Oreal),B)).  [resolve(234,a,236,a)].
% 0.86/1.41  237 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) # label(axiom).  [assumption].
% 0.86/1.41  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A)),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B)),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A))),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B)) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(237,a,235,a)].
% 0.86/1.41  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),A)),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),B)).  [resolve(237,a,236,a)].
% 0.86/1.41  238 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom).  [assumption].
% 0.86/1.41  239 -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 # label(cls_add__imp__eq_0) # label(axiom).  [assumption].
% 0.86/1.41  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C) | B = C.  [resolve(238,a,239,a)].
% 0.86/1.41  240 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom).  [assumption].
% 0.86/1.41  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),C) | B = C.  [resolve(240,a,239,a)].
% 0.86/1.41  241 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom).  [assumption].
% 0.86/1.41  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),C) | B = C.  [resolve(241,a,239,a)].
% 0.86/1.41  242 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocancel__semigroup__add) # label(axiom).  [assumption].
% 0.86/1.41  243 -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 # label(cls_add__left__cancel_0) # label(axiom).  [assumption].
% 0.86/1.41  244 -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 # label(cls_add__right__cancel_0) # label(axiom).  [assumption].
% 0.86/1.41  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B) | A = C.  [resolve(242,a,244,a)].
% 0.86/1.41  245 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add) # label(axiom).  [assumption].
% 0.86/1.44  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),C),B) | A = C.  [resolve(245,a,244,a)].
% 0.86/1.44  246 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add) # label(axiom).  [assumption].
% 0.86/1.44  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),C),B) | A = C.  [resolve(246,a,244,a)].
% 0.86/1.44  247 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors) # label(axiom).  [assumption].
% 0.86/1.44  248 -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) # label(cls_mult__eq__0__iff_0) # label(axiom).  [assumption].
% 0.86/1.44  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) # label(cls_mult__eq__0__iff_1) # label(axiom).  [assumption].
% 0.86/1.44  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) # label(cls_mult__eq__0__iff_2) # label(axiom).  [assumption].
% 0.86/1.44  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(247,a,248,a)].
% 0.86/1.44  251 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) # label(axiom).  [assumption].
% 0.86/1.44  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(251,a,248,a)].
% 0.86/1.44  252 class_Ring__and__Field_Ono__zero__divisors(tc_nat) # label(clsarity_nat__Ring__and__Field_Ono__zero__divisors) # label(axiom).  [assumption].
% 0.86/1.44  253 -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) # label(cls_no__zero__divisors_0) # label(axiom).  [assumption].
% 0.86/1.44  254 -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) # label(cls_no__zero__divirors__neq0_0) # label(axiom).  [assumption].
% 0.86/1.44  Derived: hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B) != c_HOL_Ozero__class_Ozero(tc_nat) | B = c_HOL_Ozero__class_Ozero(tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(252,a,253,a)].
% 0.86/1.44  255 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors) # label(axiom).  [assumption].
% 0.86/1.44  256 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors) # label(axiom).  [assumption].
% 0.86/1.44  257 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) # label(axiom).  [assumption].
% 0.86/1.44  258 -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) # label(cls_double__eq__0__iff_0) # label(axiom).  [assumption].
% 0.86/1.44  259 -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) # label(cls_double__eq__0__iff_1) # label(axiom).  [assumption].
% 0.86/1.44  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),A) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(257,a,258,a)].
% 0.86/1.46  260 class_OrderedGroup_Ocomm__monoid__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocomm__monoid__add) # label(axiom).  [assumption].
% 0.86/1.46  261 -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)) # label(cls_comm__monoid__add_Omult__left__commute_0) # label(axiom).  [assumption].
% 0.86/1.46  262 -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)) # label(cls_comm__monoid__add_Omult__assoc_0) # label(axiom).  [assumption].
% 0.86/1.46  263 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A)) = B # label(cls_comm__monoid__add_Omult__1__right_0) # label(axiom).  [assumption].
% 0.86/1.46  264 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B) = B # label(cls_comm__monoid__add_Omult__1_0) # label(axiom).  [assumption].
% 0.86/1.46  265 -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) # label(cls_setsum__0_0) # label(axiom).  [assumption].
% 0.86/1.46  266 -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) # label(cls_comm__monoid__add_Omult__commute_0) # label(axiom).  [assumption].
% 0.86/1.46  Derived: c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat,A),B,A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(260,a,265,a)].
% 0.86/1.46  267 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add) # label(axiom).  [assumption].
% 0.86/1.46  Derived: c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal,A),B,A,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).  [resolve(267,a,265,a)].
% 0.86/1.46  268 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) # label(axiom).  [assumption].
% 0.86/1.46  Derived: c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex,A),B,A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(268,a,265,a)].
% 0.86/1.46  269 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add) # label(axiom).  [assumption].
% 0.86/1.46  270 -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)) # label(cls_add__cancel__21_1) # label(axiom).  [assumption].
% 0.86/1.46  271 -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) # label(cls_ab__left__minus_0) # label(axiom).  [assumption].
% 0.86/1.46  272 -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) # label(cls_add__cancel__end_0) # label(axiom).  [assumption].
% 0.86/1.46  273 -class_OrderedGroup_Oab__group__add(A) | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(A),B,A,A,C),D,C,A) = hAPP(c_HOL_Ouminus__class_Ouminus(A),c_Finite__Set_Osetsum(B,D,C,A)) # label(cls_setsum__negf_0) # label(axiom).  [assumption].
% 0.86/1.46  274 -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 # label(cls_add__cancel__21_0) # label(axiom).  [assumption].
% 0.86/1.46  275 -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 # label(cls_add__cancel__end_1) # label(axiom).  [assumption].
% 0.86/1.48  276 -class_OrderedGroup_Oab__group__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),B)),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)) # label(cls_minus__add__distrib_0) # label(axiom).  [assumption].
% 0.86/1.48  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),C)) != B | A = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),C).  [resolve(269,a,272,a)].
% 0.86/1.48  Derived: c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A,tc_RealDef_Oreal,tc_RealDef_Oreal,B),C,B,tc_RealDef_Oreal) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),c_Finite__Set_Osetsum(A,C,B,tc_RealDef_Oreal)).  [resolve(269,a,273,a)].
% 0.86/1.48  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),C)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),D) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),C) = D.  [resolve(269,a,274,a)].
% 0.86/1.48  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),A)) = B.  [resolve(269,a,275,a)].
% 0.86/1.48  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),B)).  [resolve(269,a,276,a)].
% 0.86/1.48  277 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) # label(axiom).  [assumption].
% 0.86/1.48  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),C)) != B | A = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),C).  [resolve(277,a,272,a)].
% 0.86/1.48  Derived: c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex,tc_Complex_Ocomplex,B),C,B,tc_Complex_Ocomplex) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),c_Finite__Set_Osetsum(A,C,B,tc_Complex_Ocomplex)).  [resolve(277,a,273,a)].
% 0.86/1.48  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),C)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),D) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),C) = D.  [resolve(277,a,274,a)].
% 0.86/1.48  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),B),A)) = B.  [resolve(277,a,275,a)].
% 0.86/1.48  Derived: hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),A)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),B)).  [resolve(277,a,276,a)].
% 0.86/1.48  278 class_OrderedGroup_Oab__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Oab__semigroup__add) # label(axiom).  [assumption].
% 0.86/1.48  279 -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)) # label(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) # label(axiom).  [assumption].
% 0.86/1.48  280 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add) # label(axiom).  [assumption].
% 0.86/1.48  281 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add) # label(axiom).  [assumption].
% 0.86/1.48  282 class_Ring__and__Field_Osemiring(tc_nat) # label(clsarity_nat__Ring__and__Field_Osemiring) # label(axiom).  [assumption].
% 0.86/1.51  283 -class_Ring__and__Field_Osemiring(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)),E)) = 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),D)),C)),E) # label(cls_combine__common__factor_0) # label(axiom).  [assumption].
% 0.86/1.51  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)),B)),D).  [resolve(282,a,283,a)].
% 0.86/1.51  284 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring) # label(axiom).  [assumption].
% 0.86/1.51  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),C),B)),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),C)),B)),D).  [resolve(284,a,283,a)].
% 0.86/1.51  285 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring) # label(axiom).  [assumption].
% 0.86/1.51  Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),C),B)),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),A),C)),B)),D).  [resolve(285,a,283,a)].
% 0.86/1.51  286 class_OrderedGroup_Omonoid__add(tc_nat) # label(clsarity_nat__OrderedGroup_Omonoid__add) # label(axiom).  [assumption].
% 0.86/1.51  287 -class_OrderedGroup_Omonoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A)) = B # label(cls_monoid__add__class_Oadd__0__right_0) # label(axiom).  [assumption].
% 0.86/1.51  288 -class_OrderedGroup_Omonoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B) = B # label(cls_add__0__left_0) # label(axiom).  [assumption].
% 0.86/1.51  289 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) # label(axiom).  [assumption].
% 0.86/1.51  290 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) # label(axiom).  [assumption].
% 0.86/1.51  291 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__algebra) # label(axiom).  [assumption].
% 0.86/1.51  292 -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)) # label(cls_mult__scaleR__left_0) # label(axiom).  [assumption].
% 0.86/1.51  293 -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)) # label(cls_mult__scaleR__right_0) # label(axiom).  [assumption].
% 0.86/1.51  294 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra) # label(axiom).  [assumption].
% 0.86/1.51  295 class_RealVector_Otopological__space(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Otopological__space) # label(axiom).  [assumption].
% 0.86/1.51  296 -class_RealVector_Otopological__space(A) | c_Limits_Otendsto(c_COMBK(B,A,C),B,D,C,A) # label(cls_tendsto__const_0) # label(axiom).  [assumption].
% 0.86/1.57  Derived: c_Limits_Otendsto(c_COMBK(A,tc_RealDef_Oreal,B),A,C,B,tc_RealDef_Oreal).  [resolve(295,a,296,a)].
% 0.86/1.57  297 class_RealVector_Otopological__space(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Otopological__space) # label(axiom).  [assumption].
% 0.86/1.57  Derived: c_Limits_Otendsto(c_COMBK(A,tc_Complex_Ocomplex,B),A,C,B,tc_Complex_Ocomplex).  [resolve(297,a,296,a)].
% 0.86/1.57  298 class_Ring__and__Field_Omult__zero(tc_nat) # label(clsarity_nat__Ring__and__Field_Omult__zero) # label(axiom).  [assumption].
% 0.86/1.57  299 -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) # label(cls_mult__zero__left_0) # label(axiom).  [assumption].
% 0.86/1.57  300 -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) # label(cls_mult__zero__right_0) # label(axiom).  [assumption].
% 0.86/1.57  301 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero) # label(axiom).  [assumption].
% 0.86/1.57  302 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero) # label(axiom).  [assumption].
% 0.86/1.57  303 class_SEQ_Ocomplete__space(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__SEQ_Ocomplete__space) # label(axiom).  [assumption].
% 0.86/1.57  304 -class_SEQ_Ocomplete__space(A) | c_SEQ_OCauchy(B,A) | -c_SEQ_Oconvergent(B,A) # label(cls_Cauchy__convergent__iff_1) # label(axiom).  [assumption].
% 0.86/1.57  305 -class_SEQ_Ocomplete__space(A) | c_SEQ_Oconvergent(B,A) | -c_SEQ_OCauchy(B,A) # label(cls_Cauchy__convergent__iff_0) # label(axiom).  [assumption].
% 0.86/1.57  Derived: c_SEQ_OCauchy(A,tc_RealDef_Oreal) | -c_SEQ_Oconvergent(A,tc_RealDef_Oreal).  [resolve(303,a,304,a)].
% 0.86/1.57  Derived: c_SEQ_Oconvergent(A,tc_RealDef_Oreal) | -c_SEQ_OCauchy(A,tc_RealDef_Oreal).  [resolve(303,a,305,a)].
% 0.86/1.57  306 class_SEQ_Ocomplete__space(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__SEQ_Ocomplete__space) # label(axiom).  [assumption].
% 0.86/1.57  Derived: c_SEQ_OCauchy(A,tc_Complex_Ocomplex) | -c_SEQ_Oconvergent(A,tc_Complex_Ocomplex).  [resolve(306,a,304,a)].
% 0.86/1.57  Derived: c_SEQ_Oconvergent(A,tc_Complex_Ocomplex) | -c_SEQ_OCauchy(A,tc_Complex_Ocomplex).  [resolve(306,a,305,a)].
% 0.86/1.57  307 -class_RealVector_Ometric__space(A) | -class_HOL_Ozero(A) | -c_Lim_OLIM(c_COMBK(B,A,tc_RealDef_Oreal),C,c_HOL_Ozero__class_Ozero(A),tc_RealDef_Oreal,A) | B = c_HOL_Ozero__class_Ozero(A).  [resolve(153,a,155,c)].
% 0.86/1.57  308 class_HOL_Ozero(tc_nat) # label(clsarity_nat__HOL_Ozero) # label(axiom).  [assumption].
% 0.86/1.57  309 class_HOL_Ozero(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__HOL_Ozero) # label(axiom).  [assumption].
% 0.86/1.57  310 class_HOL_Ozero(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__HOL_Ozero) # label(axiom).  [assumption].
% 0.86/1.57  311 -class_RealVector_Ometric__space(A) | -class_HOL_Ozero(A) | -c_Lim_OLIM(c_COMBK(B,A,tc_Complex_Ocomplex),C,c_HOL_Ozero__class_Ozero(A),tc_Complex_Ocomplex,A) | B = c_HOL_Ozero__class_Ozero(A).  [resolve(159,a,155,c)].
% 0.86/1.57  312 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom).  [assumption].
% 0.86/1.57  313 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom).  [assumption].
% 0.86/1.57  Derived: A = A.  [resolve(312,b,313,a)].
% 0.86/1.57  
% 0.86/1.57  ============================== end predicate elimination =============
% 0.86/1.57  
% 0.86/1.57  Auto_denials:  (non-Horn, no changes).
% 0.86/1.57  
% 0.86/1.57  Term ordering decisions:
% 0.86/1.57  Function symbol KB weights:  tc_RealDef_Oreal=1. tc_Complex_Ocomplex=1. tc_nat=1. c_Complex_OIm=1. c_Complex_ORe=1. c_Suc=1. v_f____=1. v_s=1. v_ga____=1. tc_bool=1. hAPP=1. c_Series_Osuminf=1. tc_fun=1. c_Complex_Ocomplex_OComplex=1. c_SEQ_Olim=1. c_HOL_Otimes__class_Otimes=1. c_HOL_Oplus__class_Oplus=1. c_HOL_Ozero__class_Ozero=1. c_RealVector_OscaleR__class_OscaleR=1. c_HOL_Ouminus__class_Ouminus=1. c_HOL_Oinverse__class_Oinverse=1. c_RealVector_Oof__real=1. c_RealVector_Onorm__class_Onorm=1. c_COMBK=1. c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1=1. v_sko__CHAINED__1=1. c_Finite__Set_Osetsum=1. c_Set_Oimage=1. c_COMBB=1. c_COMBC=1.
% 0.86/1.57  
% 0.86/1.57  ============================== PROOF =================================
% 0.86/1.57  % SZS status Unsatisfiable
% 0.86/1.57  % SZS output start Refutation
% 0.86/1.57  
% 0.86/1.57  % Proof 1 at 0.47 (+ 0.00) seconds.
% 0.86/1.57  % Length of proof is 5.
% 0.86/1.57  % Level of proof is 2.
% 0.86/1.57  % Maximum clause weight is 22.000.
% 0.86/1.57  % Given clauses 0.
% 0.86/1.57  
% 0.86/1.57  463 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) # label(cls_CHAINED_0) # label(axiom).  [assumption].
% 0.86/1.57  464 -v_thesis____ # label(cls_conjecture_0) # label(negated_conjecture).  [assumption].
% 0.86/1.57  465 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) # label(cls_conjecture_1) # label(negated_conjecture).  [assumption].
% 0.86/1.57  466 -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).  [copy(465),unit_del(a,464)].
% 0.86/1.57  467 $F.  [resolve(466,a,463,a)].
% 0.86/1.57  
% 0.86/1.57  % SZS output end Refutation
% 0.86/1.57  ============================== end of proof ==========================
% 0.86/1.57  
% 0.86/1.57  ============================== STATISTICS ============================
% 0.86/1.57  
% 0.86/1.57  Given=0. Generated=156. Kept=139. proofs=1.
% 0.86/1.57  Usable=0. Sos=0. Demods=11. Limbo=138, Disabled=475. Hints=0.
% 0.86/1.57  Megabytes=0.76.
% 0.86/1.57  User_CPU=0.47, System_CPU=0.00, Wall_clock=0.
% 0.86/1.57  
% 0.86/1.57  ============================== end of statistics =====================
% 0.86/1.57  
% 0.86/1.57  ============================== end of search =========================
% 0.86/1.57  
% 0.86/1.57  THEOREM PROVED
% 0.86/1.57  % SZS status Unsatisfiable
% 0.86/1.57  
% 0.86/1.57  Exiting with 1 proof.
% 0.86/1.57  
% 0.86/1.57  Process 32245 exit (max_proofs) Wed Jun  8 11:29:12 2022
% 0.86/1.57  Prover9 interrupted
%------------------------------------------------------------------------------